Edit Profile (opens in new tab) Mordukhovich, Boris S. Compute Distance To: Compute Author ID: mordukhovich.boris-s Published as: Mordukhovich, Boris S.; Mordukhovich, B. S.; Mordukhovich, B. Sh.; Mordukhovich, Boris; Mordukhovich, B.; Mordukhovich, Boris Sholimovich; Mordukhovich, Boris. S. more...less Homepage: http://www.borismordukhovich.com/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 320 Publications since 1971, including 5 Books 24 Contributions as Editor Biographic References: 3 Publications Co-Authors: 153 Co-Authors with 256 Joint Publications 3,667 Co-Co-Authors all top 5 Co-Authors 87 single-authored 27 Nam, Nguyen Mau 17 Truong Quang Bao 15 Nghia, Tran Thai An 14 Sarabi, M. Ebrahim 11 Wang, Bingwu 10 Shao, Yongheng 9 Wang, Lianwen 8 Colombo, Giovanni 8 Outrata, Jiří V. 6 Cao, Tan H. 6 Phan, Hung M. 6 Wang, Dong 6 Zaslavski, Alexander Yakovlevich 5 Dempe, Stephan 5 Fabian, Marián J. 5 Mohammadi, Ashkan 5 Nguyen, Dao 5 Parra, Juan 5 Yao, Jen-Chih 4 Cánovas, María Josefa 4 Gfrerer, Helmut 4 Henrion, René 4 Kruger, Alexander Y. 4 Li, Guoyin 4 López-Cerdá, Marco Antonio 4 Sasonkin, A. M. 4 Shvartsman, Ilya A. 4 Zhang, Kaixia 3 Borwein, Jonathan Michael 3 Dubov, M. A. 3 Eberhard, Andrew C. 3 El-Gebeily, Mohamed A. 3 Gabasov, Rafail 3 Jafari, Farhad 3 Martínez-Legaz, Juan-Enrique 3 Pérez-Aros, Pedro 3 Phạm Tiên So’n 3 Raymond, Jean-Pierre 3 Rockafellar, Ralph Tyrrell 3 Tammer, Christiane 3 Van Cuong, Dang 3 Zemkoho, Alain B. 3 Zhu, Qiji Jim 2 Ansari, Qamrul Hasan 2 Aragón Artacho, Francisco Javier 2 Bauschke, Heinz H. 2 Červinka, Michal 2 Christopherson, Bryce A. 2 Dutta, Joydeep 2 Ginchev, Ivan G. 2 Gupta, Pankaj 2 Habte, Aychiluhim 2 Hang, Nguyen T. V. 2 Hoheisel, Tim 2 Kanzow, Christian 2 Kirillova, Faina Mihaǐlovna 2 Leizarowitz, Arie 2 Pappalardo, Massimo 2 Ramírez C., Héctor 2 Sagastizábal, Claudia S. 2 Salinas, Juan jun. 2 Seidman, Thomas I. 2 Shafrir, Itai 2 Soubeyran, Antoine 2 Théra, Michel A. 2 Wang, Jinhua 2 Nguyen Dong Yen 2 Zhou, Jinchuan 1 Al-Homidan, Suliman S. 1 Bačák, Miroslav 1 Ban, Liqun 1 Benko, Matus 1 Bouach, Abderrahim 1 Cartmell, Addison 1 Ceng, Lu-Chuan 1 Chang, Der-Chen E. 1 Chen, Jein-Shah 1 Chieu, Nguyen Huy 1 Chow, Pao-Liu 1 Chuong, Thai Doan 1 Crouzeix, Jean-Pierre 1 Dinh The Luc 1 Do, Hong-Hai 1 Donchev, Tzanko Donchev 1 Dontchev, Asen L. 1 Elster, Rosalind 1 Farkhi, Elza M. 1 Gajshun, P. V. 1 Geremew, W. 1 Giannessi, Franco 1 Goncharov, Vladimir V. 1 Gorelik, S. B. 1 Gupta, Rohit 1 Haddad, Tahar 1 Hadjisavvas, Nicolas 1 Hintermüller, Michael 1 Hiriart-Urruty, Jean-Baptiste 1 Hosseini, Seyedehsomayeh 1 Huy, Nguyen Quang 1 Iusem, Alfredo Noel ...and 53 more Co-Authors all top 5 Serials 26 SIAM Journal on Optimization 21 Optimization 20 Journal of Optimization Theory and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Mathematical Programming. Series A. Series B 12 Set-Valued and Variational Analysis 10 Journal of Global Optimization 10 Journal of Convex Analysis 8 Journal of Mathematical Analysis and Applications 7 Differential Equations 7 SIAM Journal on Control and Optimization 6 Doklady Akademii Nauk BSSR 6 Control and Cybernetics 6 Differentsial’nye Uravneniya 6 Journal of Differential Equations 6 Soviet Mathematics. Doklady 6 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 6 Optimization Letters 5 Mathematics of Operations Research 5 Positivity 4 Applicable Analysis 4 Transactions of the American Mathematical Society 4 Journal of Nonlinear and Convex Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Applied Mathematics and Mechanics 3 Doklady Bolgarskoĭ Akademii Nauk 3 Set-Valued Analysis 3 Top 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Vietnam Journal of Mathematics 3 Taiwanese Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Contemporary Mathematics 3 Pure and Applied Functional Analysis 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Applied Mathematics and Optimization 2 Proceedings of the American Mathematical Society 2 Automation and Remote Control 2 Pacific Journal of Optimization 2 The IMA Volumes in Mathematics and its Applications 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 American Mathematical Monthly 1 Russian Mathematical Surveys 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Journal of Soviet Mathematics 1 Kybernetika 1 Numerical Functional Analysis and Optimization 1 Cybernetics 1 Systems & Control Letters 1 Annals of Operations Research 1 Applications of Mathematics 1 Dynamic Systems and Applications 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Notices of the American Mathematical Society 1 Cybernetics and Systems Analysis 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Revista Investigación Operacional 1 Journal of Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Optimization Methods & Software 1 International Journal of Applied Mathematics and Computer Science 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 TEMA. Tendências em Matemática Aplicada e Computacional 1 Grundlehren der Mathematischen Wissenschaften 1 ISNM. International Series of Numerical Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Applied and Computational Mathematics 1 Synthesis Lectures on Mathematics and Statistics 1 IEEE Control Systems 1 Springer Monographs in Mathematics 1 Springer Series in Operations Research and Financial Engineering 1 SN Operations Research Forum all top 5 Fields 288 Calculus of variations and optimal control; optimization (49-XX) 193 Operations research, mathematical programming (90-XX) 43 Systems theory; control (93-XX) 28 Global analysis, analysis on manifolds (58-XX) 26 Functional analysis (46-XX) 24 General and overarching topics; collections (00-XX) 24 Ordinary differential equations (34-XX) 20 Operator theory (47-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Numerical analysis (65-XX) 13 Real functions (26-XX) 13 Partial differential equations (35-XX) 10 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 General topology (54-XX) 3 Mechanics of particles and systems (70-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 265 Publications have been cited 4,786 times in 2,057 Documents Cited by ▼ Year ▼ Maximum principle in the problem of time optimal response with nonsmooth constraints. Zbl 0362.49017Mordukhovich, B. Sh. 180 1976 Nonsmooth sequential analysis in Asplund spaces. Zbl 0881.49009Mordukhovich, Boris S.; Shao, Yongheng 155 1996 Variational analysis and generalized differentiation. I: Basic theory. II: Applications. Zbl 1100.49002Mordukhovich, Boris S. 141 2005 Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions. Zbl 0791.49018Mordukhovich, Boris 139 1993 Generalized differential calculus for nonsmooth and set-valued mappings. Zbl 0807.49016Mordukhovich, Boris S. 120 1994 Variational analysis and applications. Zbl 1402.49003Mordukhovich, Boris S. 113 2018 Approximation methods in problems of optimization and control. (Metody approksimatsij v zadachakh optimizatsii i upravleniya). Zbl 0643.49001Mordukhovich, B. Sh. 111 1988 Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions. Zbl 1184.90149Truong Quang Bao; Mordukhovich, Boris S. 110 2010 Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems. Zbl 0491.49011Mordukhovich, B. Sh. 108 1980 Extremal points and the Euler equation in nonsmooth optimization problems. Zbl 0449.49015Kruger, A. Ya.; Mordukhovich, B. Sh. 77 1980 Subgradients of marginal functions in parametric mathematical programming. Zbl 1177.90377Mordukhovich, B. S.; Nam, N. M.; Yen, N. D. 77 2009 Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions. Zbl 0844.49017Mordukhovich, Boris S. 73 1995 Sensitivity analysis in nonsmooth optimization. Zbl 0769.90075Mordukhovich, Boris S. 71 1992 Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022Mordukhovich, B. S.; Rockafellar, R. T. 67 2012 Coderivative analysis of quasi-variational inequalities with applications to stability and optimization. Zbl 1145.49012Mordukhovich, Boris S.; Outrata, Jiří V. 65 2007 Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming. Zbl 1121.49017Mordukhovich, B. S.; Nam, N. M.; Yen, N. D. 64 2006 New necessary optimality conditions in optimistic bilevel programming. Zbl 1172.90481Dempe, S.; Dutta, J.; Mordukhovich, B. S. 56 2007 Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs. Zbl 1226.90102Dinh, N.; Mordukhovich, B.; Nghia, T. T. A. 53 2010 Weak sharp minima on Riemannian manifolds. Zbl 1236.49089Li, Chong; Mordukhovich, Boris S.; Wang, Jinhua; Yao, Jen-Chih 53 2011 Optimal control of the sweeping process over polyhedral controlled sets. Zbl 1334.49070Colombo, G.; Henrion, R.; Hoang, Nguyen D.; Mordukhovich, B. S. 50 2016 Second-order analysis of polyhedral systems in finite and infinite dimensions with applications to robust stability of variational inequalities. Zbl 1208.49010Henrion, René; Mordukhovich, Boris S.; Nam, Nguyen Mau 50 2010 Hölder metric subregularity with applications to proximal point method. Zbl 1260.49069Li, Guoyin; Mordukhovich, Boris S. 47 2012 On second-order subdifferentials and their applications. Zbl 1011.49016Mordukhovich, Boris S.; Outrata, Jirí V. 47 2001 Coderivatives in parametric optimization. Zbl 1079.90136Levy, Adam B.; Mordukhovich, Boris S. 46 2004 Variational principles for set-valued mappings with applications to multiobjective optimization. Zbl 1166.49018Mordukhovich, Boris S.; Truong Quang Bao 45 2007 An easy path to convex analysis and applications. Zbl 1284.49002Mordukhovich, Boris S.; Nam, Nguyen Mau 42 2014 Necessary conditions in multiobjective optimization with equilibrium constraints. Zbl 1146.90508Truong Quang Bao; Gupta, Pankaj; Mordukhovich, B. S. 42 2007 Variational analysis in semi-infinite and infinite programming. I: Stability of linear inequality systems of feasible solutions. Zbl 1216.90087Cánovas, M. J.; López, M. A.; Mordukhovich, B. S.; Parra, J. 39 2009 Variational stability and marginal functions via generalized differentiation. Zbl 1284.90083Mordukhovich, Boris S.; Nam, Nguyen Mau 38 2005 On nonconvex subdifferential calculus in Banach spaces. Zbl 0838.49013Mordukhovich, Boris S.; Shao, Yongheng 37 1995 Stability theory for parametric generalized equations and variational inequalities via nonsmooth analysis. Zbl 0826.49008Mordukhovich, Boris 37 1994 Optimal control of the sweeping process. Zbl 1264.49013Colombo, G.; Henrion, R.; Hoang, N. D.; Mordukhovich, B. 36 2012 Necessary optimality conditions in pessimistic bilevel programming. Zbl 1302.90206Dempe, S.; Mordukhovich, B. S.; Zemkoho, A. B. 36 2014 Necessary conditions for super minimizers in constrained multiobjective optimization. Zbl 1172.90480Truong Quang Bao; Mordukhovich, Boris S. 36 2009 Characterizations of full stability in constrained optimization. Zbl 1284.49032Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E. 35 2013 Full Lipschitzian and Hölderian stability in optimization with applications to mathematical programming and optimal control. Zbl 1304.49047Mordukhovich, B. S.; Nghia, T. T. A. 35 2014 Second-order growth, tilt stability, and metric regularity of the subdifferential. Zbl 1311.49035Drusvyatskiy, D.; Mordukhovich, B. S.; Nghia, T. T. A. 35 2014 Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces. Zbl 1136.34051Donchev, Tzanko; Farkhi, Elza; Mordukhovich, Boris S. 35 2007 An extended extremal principle with applications to multiobjective optimization. Zbl 1041.49019Mordukhovich, Boris S.; Treiman, Jay S.; Zhu, Qiji J. 33 2003 Multiobjective optimization problems with equilibrium constraints. Zbl 1165.90020Mordukhovich, Boris S. 32 2009 Optimal control of a nonconvex perturbed sweeping process. Zbl 1404.49014Cao, Tan H.; Mordukhovich, B. S. 31 2019 Stability of set-valued mappings in infinite dimensions: point criteria and applications. Zbl 0895.49011Mordukhovich, Boris S.; Shao, Yongheng 31 1997 Nonsmooth analysis with nonconvex generalized differentials and conjugate mappings. Zbl 0557.49007Mordukhovich, B. Sh. 30 1984 Complete characterizations of tilt stability in nonlinear programming under weakest qualification conditions. Zbl 1357.49074Gfrerer, Helmut; Mordukhovich, Boris S. 30 2015 Subdifferentials of nonconvex supremum functions and their applications to semi-infinite and infinite programs with Lipschitzian data. Zbl 1266.49027Mordukhovich, Boris S.; Nghia, T. T. A. 29 2013 Extremal characterizations of Asplund spaces. Zbl 0849.46010Mordukhovich, Boris S.; Shao, Yongcheng 29 1996 Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces. Zbl 1285.49010Mordukhovich, B. S.; Nghia, T. T. A. 28 2013 Sensitivity analysis for two-level value functions with applications to bilevel programming. Zbl 1276.90050Dempe, S.; Mordukhovich, B. S.; Zemkoho, A. B. 28 2012 Nonconvex differential calculus for infinite-dimensional multifunctions. Zbl 0866.49024Mordukhovich, Boris S.; Shao, Yongheng 28 1996 Lipschitzian stability of constraint systems and generalized equations. Zbl 0805.93044Mordukhovich, Boris 28 1994 Hybrid approximate proximal method with auxiliary variational inequality for vector optimization. Zbl 1251.90388Ceng, L. C.; Mordukhovich, B. S.; Yao, J. C. 28 2010 Qualification and optimality conditions for dc programs with infinite constraints. Zbl 1190.90264Dinh, N.; Mordukhovich, B. S.; Nghia, T. T. A. 28 2009 Equilibrium problems with equilibrium constraints via multiobjective optimization. Zbl 1168.90624Mordukhovich, Boris S. 27 2004 New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors. Zbl 1327.90237Li, G.; Mordukhovich, B. S.; Phạm, T. S. 27 2015 Coderivative analysis of variational systems. Zbl 1077.49018Mordukhovich, Boris S. 26 2004 Full stability in finite-dimensional optimization. Zbl 1308.90126Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T. 26 2015 Coderivatives of set-valued mappings: Calculus and applications. Zbl 0894.49009Mordukhovich, Boris S. 26 1997 Necessary suboptimality and optimality conditions via variational principles. Zbl 1020.49018Mordukhovich, Boris S.; Wang, Bingwu 26 2002 Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces. Zbl 0863.47030Mordukhovich, Boris S.; Shao, Yongheng 25 1995 Variational analysis in semi-infinite and infinite programming. II: Necessary optimality conditions. Zbl 1211.90257Cánovas, M. J.; López, M. A.; Mordukhovich, B. S.; Parra, J. 25 2010 Limiting subgradients of minimal time functions in Banach spaces. Zbl 1218.49022Mordukhovich, Boris S.; Nam, Nguyen Mau 25 2010 Second-order characterizations of tilt stability with applications to nonlinear programming. Zbl 1312.49016Mordukhovich, B. S.; Nghia, T. T. A. 23 2015 Variational analysis of marginal functions with applications to bilevel programming. Zbl 1268.90127Mordukhovich, Boris S.; Nam, Nguyen Mau; Phan, Hung M. 23 2012 Optimality conditions for a controlled sweeping process with applications to the crowd motion model. Zbl 1364.49035Cao, Tan H.; Mordukhovich, Boris S. 23 2017 Sequential normal compactness versus topological normal compactness in variational analysis. Zbl 1038.46016Fabian, Marián; Mordukhovich, Boris S. 22 2003 Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs. Zbl 1292.90283Mordukhovich, B.; Nghia, T. T. A. 22 2013 Discrete approximations of a controlled sweeping process. Zbl 1312.49015Colombo, G.; Henrion, R.; Hoang, N. D.; Mordukhovich, B. S. 22 2015 Full stability of locally optimal solutions in second-order cone programs. Zbl 1311.49062Mordukhovich, Boris S.; Outrata, Jiří V.; Sarabi, M. Ebrahim 22 2014 Nonsmooth cone-constrained optimization with applications to semi-infinite programming. Zbl 1291.49014Mordukhovich, Boris S.; Nghia, T. T. A. 22 2014 Robinson stability of parametric constraint systems via variational analysis. Zbl 1368.49014Gfrerer, Helmut; Mordukhovich, Boris S. 22 2017 Set-valued optimization in welfare economics. Zbl 1203.91074Truong Quang Bao; Mordukhovich, Boris S. 22 2010 Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints. Zbl 1332.90300Hintermüller, Michael; Mordukhovich, Boris S.; Surowiec, Thomas M. 21 2014 Higher-order metric subregularity and its applications. Zbl 1329.49029Mordukhovich, Boris S.; Ouyang, Wei 21 2015 Applications of variational analysis to a generalized Fermat-Torricelli problem. Zbl 1211.90287Mordukhovich, Boris; Nam, Nguyen Mau 20 2011 Compactly epi-Lipschitzian convex sets and functions in normed spaces. Zbl 0989.49018Borwein, Jonathan; Lucet, Yves; Mordukhovich, Boris 20 2000 Minimax control of parabolic systems with Dirichlet boundary conditions and state constraints. Zbl 0890.49008Mordukhovich, B. S.; Zhang, K. 20 1997 Second-order variational analysis in conic programming with applications to optimality and stability. Zbl 1356.49021Mordukhovich, Boris S.; Outrata, Jiří V.; Ramírez C., Héctor 20 2015 Local monotonicity and full stability for parametric variational systems. Zbl 1337.49030Mordukhovich, B. S.; Nghia, T. T. A. 19 2016 Enhanced metric regularity and Lipschitzian properties of variational systems. Zbl 1242.90255Aragón Artacho, Francisco J.; Mordukhovich, Boris S. 18 2011 On directionally dependent subdifferentials. Zbl 1289.49021Ginchev, Ivan; Mordukhovich, Boris 18 2011 Critical multipliers in variational systems via second-order generalized differentiation. Zbl 1407.90314Mordukhovich, Boris S.; Sarabi, M. Ebrahim 18 2018 Metric regularity and Lipschitzian stability of parametric variational systems. Zbl 1190.49008Aragón Artacho, Francisco J.; Mordukhovich, Boris S. 18 2010 Restrictive metric regularity and generalized differential calculus in Banach spaces. Zbl 1063.49018Mordukhovich, Boris S.; Wang, Bingwu 18 2004 Sensitivity analysis for variational systems. Zbl 1113.49018Mordukhovich, B. S. 17 2005 Variational analysis in psychological modeling. Zbl 1320.90112Bao, T. Q.; Mordukhovich, B. S.; Soubeyran, A. 17 2015 Fuzzy calculus for coderivatives of multifunctions. Zbl 0879.58006Mordukhovich, Boris; Shao, Yongheng 17 1997 Optimal control of neutral functional-differential inclusions. Zbl 1070.49016Mordukhovich, Boris S.; Wang, Lianwen 17 2004 Coderivatives of frontier and solution maps in parametric multiobjective optimization. Zbl 1194.90082Huy, N. Q.; Mordukhovich, B. S.; Yao, J. C. 17 2008 Optimal control and feedback design of state-constrained parabolic systems in uncertainty conditions. Zbl 1231.49020Mordukhovich, Boris S. 17 2011 Calculus of sequential normal compactness in variational analysis. Zbl 1033.49031Mordukhovich, Boris S.; Wang, Bingwu 16 2003 Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints. Zbl 1164.49306Truong Quang Bao; Mordukhovich, Boris S. 16 2007 Optimization and feedback control of constrained parabolic systems under uncertain perturbations. Zbl 1100.49029Mordukhovich, Boris S.; Shvartsman, Ilya 16 2004 The extremal principle and its applications to optimization and economics. Zbl 1010.49014Mordukhovich, Boris S. 16 2001 Necessary conditions in nonsmooth minimization via lower and upper subgradients. Zbl 1046.49011Mordukhovich, Boris S. 16 2004 Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification. Zbl 1305.90391Mordukhovich, Boris S.; Outrata, Jiří V. 15 2013 Subgradient of distance functions with applications to Lipschitzian stability. Zbl 1077.49019Mordukhovich, Boris S.; Nam, Nguyen Mau 15 2005 Coderivative calculus and metric regularity for constraint and variational systems. Zbl 1160.49014Geremew, W.; Mordukhovich, B. S.; Nam, N. M. 15 2009 Subgradients of minimal time functions under minimal requirements. Zbl 1248.49020Mordukhovich, Boris S.; Nam, Nguyen Mau 15 2011 Necessary nondomination conditions in set and vector optimization with variable ordering structures. Zbl 1378.90071Bao, Truong Q.; Mordukhovich, Boris S. 15 2014 An abstract extremal principle with applications to welfare economics. Zbl 1016.91078Mordukhovich, Boris S. 14 2000 Algebraic core and convex calculus without topology. Zbl 07501790Van Cuong, Dang; Mordukhovich, Boris S.; Nam, Nguyen Mau; Cartmell, Addison 1 2022 Parabolic regularity in geometric variational analysis. Zbl 1460.49014Mohammadi, Ashkan; Mordukhovich, Boris S.; Sarabi, M. Ebrahim 12 2021 Optimization of fully controlled sweeping processes. Zbl 1471.49011Cao, Tan H.; Colombo, Giovanni; Mordukhovich, Boris S.; Nguyen, Dao 3 2021 Variational analysis in normed spaces with applications to constrained optimization. Zbl 1459.49007Mohammadi, Ashkan; Mordukhovich, Boris S. 2 2021 Criticality of Lagrange multipliers in extended nonlinear optimization. Zbl 1465.90105Do, Hong; Mordukhovich, Boris S.; Sarabi, M. Ebrahim 2 2021 Quasi-relative interiors for graphs of convex set-valued mappings. Zbl 1471.90165Van Cuong, Dang; Mordukhovich, Boris S.; Nam, Nguyen Mau 2 2021 New extremal principles with applications to stochastic and semi-infinite programming. Zbl 1483.90097Mordukhovich, Boris S.; Pérez-Aros, Pedro 2 2021 Generalized Newton algorithms for tilt-stable minimizers in nonsmooth optimization. Zbl 1468.90132Mordukhovich, Boris S.; Sarabi, M. Ebrahim 1 2021 Discrete approximations and optimal control of nonsmooth perturbed sweeping processes. Zbl 1465.49023Mordukhovich, Boris S.; Nguyen, Dao 1 2021 Generalized sequential differential calculus for expected-integral functionals. Zbl 1472.49036Mordukhovich, Boris S.; Pérez-Aros, Pedro 1 2021 Optimization and discrete approximation of sweeping processes with controlled moving sets and perturbations. Zbl 1454.49033Cao, Tan H.; Colombo, Giovanni; Mordukhovich, Boris S.; Nguyen, Dao 1 2021 Existence of efficient and properly efficient solutions to problems of constrained vector optimization. Zbl 07411831Kim, Do Sang; Mordukhovich, Boris S.; Phạm, Tiến-Sơn; Van Tuyen, Nguyen 1 2021 Optimization of a perturbed sweeping process by constrained discontinuous controls. Zbl 1450.49013Colombo, Giovanni; Mordukhovich, Boris S.; Nguyen, Dao 7 2020 Second-order variational analysis in second-order cone programming. Zbl 1440.90079Hang, Nguyen T. V.; Mordukhovich, Boris S.; Sarabi, M. Ebrahim 7 2020 Subdifferentials and stability analysis of feasible set and Pareto front mappings in linear multiobjective optimization. Zbl 1441.49021Cánovas, M. J.; López, M. A.; Mordukhovich, B. S.; Parra, J. 3 2020 Superlinear convergence of the sequential quadratic method in constrained optimization. Zbl 1441.90162Mohammadi, Ashkan; Mordukhovich, Boris S.; Sarabi, M. Ebrahim 2 2020 A variational approach to local asymptotic and exponential stabilization of nonlinear systems. Zbl 1459.49021Christopherson, Bryce A.; Jafari, Farhad; Mordukhovich, Boris S. 1 2020 Optimal control of differential inclusions. II: Sweeping. Zbl 07182056Mordukhovich, Boris Sholimovich 1 2020 Bilevel optimization and variational analysis. Zbl 1484.90115Mordukhovich, Boris S. 1 2020 Optimal control of a nonconvex perturbed sweeping process. Zbl 1404.49014Cao, Tan H.; Mordukhovich, B. S. 31 2019 Extended Euler-Lagrange and Hamiltonian conditions in optimal control of sweeping processes with controlled moving sets. Zbl 1409.49021Hoang, Nguyen D.; Mordukhovich, Boris S. 12 2019 Optimal control of sweeping processes in robotics and traffic flow models. Zbl 1421.49020Colombo, Giovanni; Mordukhovich, Boris; Nguyen, Dao 10 2019 Second-order variational analysis of parametric constraint and variational systems. Zbl 1408.49015Gfrerer, Helmut; Mordukhovich, Boris S. 9 2019 Criticality of Lagrange multipliers in variational systems. Zbl 1421.90144Mordukhovich, Boris; Sarabi, Ebrahim 8 2019 Two-level value function approach to non-smooth optimistic and pessimistic bilevel programs. Zbl 1414.49027Dempe, Stephan; Mordukhovich, Boris S.; Zemkoho, Alain B. 4 2019 Optimal control of Lipschitzian and discontinuous differential inclusions with various applications. Zbl 1427.49040Mordukhovich, Boris S. 3 2019 Applications of optimal control of a nonconvex sweeping process to optimization of the planar crowd motion model. Zbl 1422.49032Cao, Tan H.; Mordukhovich, Boris S. 3 2019 Characterizations of tilt-stable minimizers in second-order cone programming. Zbl 1434.90191Benko, Matúš; Gfrerer, Helmut; Mordukhovich, Boris S. 2 2019 Variational analysis and variational rationality in behavioral sciences: stationary traps. Zbl 1479.91268Mordukhovich, Boris S.; Soubeyran, Antoine 2 2019 Nonsmooth optimization and its applications. Based on the workshop “Nonsmooth Optimization and its Applications”, Bonn, Germany, May 15–19, 2017. Zbl 1417.49001 1 2019 Variational analysis and applications. Zbl 1402.49003Mordukhovich, Boris S. 113 2018 Critical multipliers in variational systems via second-order generalized differentiation. Zbl 1407.90314Mordukhovich, Boris S.; Sarabi, M. Ebrahim 18 2018 Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates. Zbl 1400.90251Li, G.; Mordukhovich, B. S.; Nghia, T. T. A.; Phạm, T. S. 10 2018 Subdifferentials of nonconvex integral functionals in Banach spaces with applications to stochastic dynamic programming. Zbl 1392.49020Mordukhovich, Boris S.; Sagara, Nobusumi 9 2018 Full stability of general parametric variational systems. Zbl 1406.49011Mordukhovich, B. S.; Nghia, T. T. A.; Pham, D. T. 5 2018 Linear openness and feedback stabilization of nonlinear control systems. Zbl 1405.93180Gupta, Rohit; Jafari, Farhad; Kipka, Robert J.; Mordukhovich, Boris S. 2 2018 Optimality conditions for a controlled sweeping process with applications to the crowd motion model. Zbl 1364.49035Cao, Tan H.; Mordukhovich, Boris S. 23 2017 Robinson stability of parametric constraint systems via variational analysis. Zbl 1368.49014Gfrerer, Helmut; Mordukhovich, Boris S. 22 2017 Variational geometric approach to generalized differential and conjugate calculi in convex analysis. Zbl 1392.49019Mordukhovich, B. S.; Nam, N. M.; Rector, R. B.; Tran, T. 10 2017 Geometric approach to convex subdifferential calculus. Zbl 1402.49014Mordukhovich, Boris S.; Nam, Nguyen Mau 6 2017 Extremality of convex sets with some applications. Zbl 1387.90188Mordukhovich, Boris S.; Nguyen Mau Nam 4 2017 Feedback design of differential equations of reconstruction for second-order distributed parameter systems. Zbl 1373.93131Maksimov, Vyacheslav I.; Mordukhovich, Boris S. 3 2017 Stability analysis for composite optimization problems and parametric variational systems. Zbl 1431.49016Mordukhovich, B. S.; Sarabi, M. E. 2 2017 Optimal control of the sweeping process over polyhedral controlled sets. Zbl 1334.49070Colombo, G.; Henrion, R.; Hoang, Nguyen D.; Mordukhovich, B. S. 50 2016 Local monotonicity and full stability for parametric variational systems. Zbl 1337.49030Mordukhovich, B. S.; Nghia, T. T. A. 19 2016 Optimal control of a perturbed sweeping process via discrete approximations. Zbl 1354.49062Cao, Tan H.; Mordukhovich, Boris S. 12 2016 Coderivative characterizations of maximal monotonicity for set-valued mappings. Zbl 1347.49026Chieu, N. H.; Lee, G. M.; Mordukhovich, B. S.; Nghia, T. T. A. 5 2016 Generalized differentiation of piecewise linear functions in second-order variational analysis. Zbl 1329.49024Mordukhovich, Boris S.; Sarabi, M. Ebrahim 5 2016 Implicit Euler approximation and optimization of one-sided Lipschitzian differential inclusions. Zbl 1347.49047Mordukhovich, Boris S.; Tian, Yuan 2 2016 Second-order analysis of piecewise linear functions with applications to optimization and stability. Zbl 1355.49011Mordukhovich, Boris S.; Sarabi, M. Ebrahim 2 2016 Complete characterizations of tilt stability in nonlinear programming under weakest qualification conditions. Zbl 1357.49074Gfrerer, Helmut; Mordukhovich, Boris S. 30 2015 New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors. Zbl 1327.90237Li, G.; Mordukhovich, B. S.; Phạm, T. S. 27 2015 Full stability in finite-dimensional optimization. Zbl 1308.90126Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T. 26 2015 Second-order characterizations of tilt stability with applications to nonlinear programming. Zbl 1312.49016Mordukhovich, B. S.; Nghia, T. T. A. 23 2015 Discrete approximations of a controlled sweeping process. Zbl 1312.49015Colombo, G.; Henrion, R.; Hoang, N. D.; Mordukhovich, B. S. 22 2015 Higher-order metric subregularity and its applications. Zbl 1329.49029Mordukhovich, Boris S.; Ouyang, Wei 21 2015 Second-order variational analysis in conic programming with applications to optimality and stability. Zbl 1356.49021Mordukhovich, Boris S.; Outrata, Jiří V.; Ramírez C., Héctor 20 2015 Variational analysis in psychological modeling. Zbl 1320.90112Bao, T. Q.; Mordukhovich, B. S.; Soubeyran, A. 17 2015 Fixed points and variational principles with applications to capability theory of wellbeing via variational rationality. Zbl 1318.49029Bao, T. Q.; Mordukhovich, B. S.; Soubeyran, A. 14 2015 Graphical derivatives and stability analysis for parameterized equilibria with conic constraints. Zbl 1330.49013Mordukhovich, Boris S.; Outrata, Jiri V.; Ramírez C., Héctor 13 2015 Variational analysis of circular cone programs. Zbl 1338.90396Zhou, Jinchuan; Chen, Jein-Shah; Mordukhovich, Boris S. 10 2015 Minimal points, variational principles, and variable preferences in set optimization. Zbl 1329.49027Bao, Truong Q.; Mordukhovich, Boris S.; Soubeyran, Antone 8 2015 Variational analysis and full stability of optimal solutions to constrained and minimax problems. Zbl 1326.90083Mordukhovich, Boris S.; Sarabi, M. Ebrahim 8 2015 Optimal control of semilinear unbounded evolution inclusions with functional constraints. Zbl 1337.49041Mordukhovich, Boris S.; Wang, Dong 5 2015 Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it. Zbl 1329.90141Mordukhovich, Boris S. 4 2015 An easy path to convex analysis and applications. Zbl 1284.49002Mordukhovich, Boris S.; Nam, Nguyen Mau 42 2014 Necessary optimality conditions in pessimistic bilevel programming. Zbl 1302.90206Dempe, S.; Mordukhovich, B. S.; Zemkoho, A. B. 36 2014 Full Lipschitzian and Hölderian stability in optimization with applications to mathematical programming and optimal control. Zbl 1304.49047Mordukhovich, B. S.; Nghia, T. T. A. 35 2014 Second-order growth, tilt stability, and metric regularity of the subdifferential. Zbl 1311.49035Drusvyatskiy, D.; Mordukhovich, B. S.; Nghia, T. T. A. 35 2014 Full stability of locally optimal solutions in second-order cone programs. Zbl 1311.49062Mordukhovich, Boris S.; Outrata, Jiří V.; Sarabi, M. Ebrahim 22 2014 Nonsmooth cone-constrained optimization with applications to semi-infinite programming. Zbl 1291.49014Mordukhovich, Boris S.; Nghia, T. T. A. 22 2014 Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints. Zbl 1332.90300Hintermüller, Michael; Mordukhovich, Boris S.; Surowiec, Thomas M. 21 2014 Necessary nondomination conditions in set and vector optimization with variable ordering structures. Zbl 1378.90071Bao, Truong Q.; Mordukhovich, Boris S. 15 2014 Partial second-order subdifferentials in variational analysis and optimization. Zbl 1295.49010Mordukhovich, Boris S.; Nam, Nguyen Mau; Nhi, Nguyen Thi Yen 10 2014 Comments on: “Farkas’ lemma: three decades of generalizations for mathematical optimization”. Zbl 1301.49001Mordukhovich, B. S. 2 2014 Sufficient optimality conditions for global Pareto solutions to multiobjective problems with equilibrium constraints. Zbl 1293.49036Bao, Truong Q.; Mordukhovich, Boris S. 1 2014 Optimal control of self-adjoint nonlinear operator equations in Hilbert spaces. Zbl 1293.49050El-Gebeily, M. A.; Mordukhovich, B. S.; Alshahrani, M. M. 1 2014 Characterizations of full stability in constrained optimization. Zbl 1284.49032Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E. 35 2013 Subdifferentials of nonconvex supremum functions and their applications to semi-infinite and infinite programs with Lipschitzian data. Zbl 1266.49027Mordukhovich, Boris S.; Nghia, T. T. A. 29 2013 Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces. Zbl 1285.49010Mordukhovich, B. S.; Nghia, T. T. A. 28 2013 Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs. Zbl 1292.90283Mordukhovich, B.; Nghia, T. T. A. 22 2013 Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification. Zbl 1305.90391Mordukhovich, Boris S.; Outrata, Jiří V. 15 2013 The smallest enclosing ball problem and the smallest intersecting ball problem: existence and uniqueness of solutions. Zbl 1291.90311Mordukhovich, Boris; Nam, Nguyen Mau; Villalobos, Cristina 4 2013 Erratum to “Generalized Newton’s method based on graphical derivatives”. Zbl 1281.49026Hoheisel, T.; Kanzow, C.; Mordukhovich, B. S.; Phan, H. 1 2013 Robust best approximation with interpolation constraints under ellipsoidal uncertainty: strong duality and nonsmooth Newton methods. Zbl 1263.41016Jeyakumar, V.; Li, G. Y.; Mordukhovich, B. S.; Wang, J. H. 1 2013 Approximate maximum principle for discrete approximations of optimal control systems with nonsmooth objectives and endpoint constraints. Zbl 1270.49017Mordukhovich, Boris S.; Shvartsman, Ilya 1 2013 Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022Mordukhovich, B. S.; Rockafellar, R. T. 67 2012 Hölder metric subregularity with applications to proximal point method. Zbl 1260.49069Li, Guoyin; Mordukhovich, Boris S. 47 2012 Optimal control of the sweeping process. Zbl 1264.49013Colombo, G.; Henrion, R.; Hoang, N. D.; Mordukhovich, B. 36 2012 Sensitivity analysis for two-level value functions with applications to bilevel programming. Zbl 1276.90050Dempe, S.; Mordukhovich, B. S.; Zemkoho, A. B. 28 2012 Variational analysis of marginal functions with applications to bilevel programming. Zbl 1268.90127Mordukhovich, Boris S.; Nam, Nguyen Mau; Phan, Hung M. 23 2012 Solving a generalized Heron problem by means of convex analysis. Zbl 1245.90086Mordukhovich, Boris S.; Nam, Nguyen Mau; Salinas, Juan jun. 13 2012 Applications of variational analysis to a generalized heron problem. Zbl 1259.49023Mordukhovich, Boris S.; Nam, Nguyen Mau; Salinas, Juan 12 2012 Hybrid proximal methods for equilibrium problems. Zbl 1281.90074Mordukhovich, Boris S.; Panicucci, Barbara; Pappalardo, Massimo; Passacantando, Mauro 11 2012 Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H. 10 2012 Tangential extremal principles for finite and infinite systems of sets. II: Applications to semi-infinite and multiobjective optimization. Zbl 1273.49020Mordukhovich, Boris S.; Phan, Hung M. 10 2012 Extended Pareto optimality in multiobjective problems. Zbl 1247.90228Bao, Truong Q.; Mordukhovich, Boris S. 9 2012 Quantitative stability of linear infinite inequality systems under block perturbations with applications to convex systems. Zbl 1257.90105Cánovas, María Josefa; López Cerda, Marco Antonio; Mordukhovich, Boris S.; Parra, Juan 5 2012 Sufficient conditions for global weak Pareto solutions in multiobjective optimization. Zbl 1334.90151Bao, Truong Q.; Mordukhovich, Boris S. 5 2012 Complete characterizations of local weak sharp minima with applications to semi-infinite optimization and complementarity. Zbl 1236.49038Zhou, Jinchuan; Mordukhovich, Boris S.; Xiu, Naihua 4 2012 ...and 165 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,586 Authors 154 Mordukhovich, Boris S. 52 Yao, Jen-Chih 37 Chuong, Thai Doan 36 Outrata, Jiří V. 36 Thibault, Lionel 36 Zaslavski, Alexander Yakovlevich 35 Nam, Nguyen Mau 33 Dempe, Stephan 33 Kruger, Alexander Y. 31 Durea, Marius 29 Arutyunov, Aram Vladimirovic 28 Mahmudov, Elimhan Nadir 26 Nguyen Dong Yen 24 Gadhi, Nazih Abderrazzak 23 Soleimani-damaneh, Majid 22 Kim, Do Sang 21 Phan Quôc Khánh 21 Tammer, Christiane 20 Gfrerer, Helmut 20 López-Cerdá, Marco Antonio 20 Strugariu, Radu 20 Ye, Jane J. 19 Henrion, René 19 Ioffe, Alexander Davidovich 19 Li, Chong 19 Ng, Kung-Fu 18 Mehlitz, Patrick 17 Wang, Bingwu 17 Zheng, Xiyin 16 Li, Guoyin 16 Nghia, Tran Thai An 16 Sarabi, M. Ebrahim 15 Adly, Samir 15 Anh, Nguyen Le Hoang 15 Jeyakumar, Vaithilingam 15 Karamzin, Dmitry Yu. 15 Nguyen Thi Toan 15 Théra, Michel A. 15 Zhang, Liwei 14 Pérez-Aros, Pedro 14 Soubeyran, Antoine 13 da Cruz Neto, João Xavier 13 Dutta, Joydeep 13 Movahedian, Nooshin 13 Nobakhtian, Soghra 13 Phạm Tiên So’n 13 Zemkoho, Alain B. 12 Colombo, Giovanni 12 Geoffroy, Michel H. 12 Hantoute, Abderrahim 12 Hintermüller, Michael 12 Huynh Van Ngai 12 Lee, Gue Myung 12 Lobo Pereira, Fernando 12 Uderzo, Amos 11 Huy, Nguyen Quang 11 Lewis, Adrian S. 11 Phan, Hung M. 11 Truong Quang Bao 11 Zhukovskiĭ, Sergeĭ Evgen’evich 10 Chieu, Nguyen Huy 10 El Idrissi, Mohammed 10 Fang, Donghui 10 Huang, Nan-Jing 10 Penot, Jean-Paul 10 Qui, Nguyen Thanh 10 Tung, Le Thanh 10 Tuyen, Nguyen Van 10 Wang, Shawn Xianfu 9 Bento, Glaydston C. 9 Eberhard, Andrew C. 9 Izmailov, Alekseĭ F. 9 Jourani, Abderrahim 9 Kanzi, Nader 9 Kien, Bui Trong 9 Novo-Sanjurjo, Vicente 9 Song, Wen 9 Truong Xuan Duc Ha 9 Yang, Xinmin 9 Zhang, Jin 8 Bauschke, Heinz H. 8 Boţ, Radu Ioan 8 Bounkhel, Messaoud 8 Cánovas, María Josefa 8 Correa, Rafael 8 de Pinho, Maria do Rosário 8 Dinh The Luc 8 Dontchev, Asen L. 8 Hilout, Saïd 8 Jiménez, Bienvenido 8 Kummer, Bernd 8 Oliveira, Paulo Roberto 8 Ouyang, Wei 8 Piétrus, Alain 8 Rockafellar, Ralph Tyrrell 8 Surowiec, Thomas 8 Thao, Nguyen Hieu 8 Thuy, Le Quang 8 Wan, Zhongping 8 Yang, Xiaoqi ...and 1,486 more Authors all top 5 Cited in 209 Serials 233 Journal of Optimization Theory and Applications 163 Optimization 146 Nonlinear Analysis. 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Neuvième Série 5 Linear Algebra and its Applications 5 Russian Mathematics 5 International Journal of Applied Mathematics and Computer Science 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of the Australian Mathematical Society 5 Journal of Applied Mathematics 4 Information Sciences 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Siberian Mathematical Journal 4 Acta Applicandae Mathematicae 4 Asia-Pacific Journal of Operational Research 4 Numerical Algorithms 4 International Journal of Computer Mathematics 4 Journal of Mathematical Imaging and Vision 4 Calculus of Variations and Partial Differential Equations 4 Advances in Computational Mathematics 4 Discrete and Continuous Dynamical Systems 4 Revista Investigación Operacional 4 Taiwanese Journal of Mathematics 4 Journal of Applied Mathematics and Computing 4 Mediterranean Journal of Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 4 Science China. Mathematics 4 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 4 Evolution Equations and Control Theory 3 Journal of Applied Mathematics and Mechanics 3 Mathematical Notes 3 Automatica 3 Journal of Soviet Mathematics 3 SIAM Journal on Numerical Analysis 3 Topology and its Applications 3 Cybernetics 3 Bulletin of the Iranian Mathematical Society 3 Computers & Operations Research 3 MCSS. Mathematics of Control, Signals, and Systems 3 Economic Theory 3 Filomat 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Optimization and Engineering 3 RAIRO. Operations Research 3 Nonlinear Analysis. Real World Applications 3 Fixed Point Theory and Applications 3 Advances in Difference Equations 3 SIAM Journal on Imaging Sciences 3 Numerical Algebra, Control and Optimization 3 Mathematical Control and Related Fields 3 Journal of Function Spaces 3 Minimax Theory and its Applications ...and 109 more Serials all top 5 Cited in 44 Fields 1,298 Operations research, mathematical programming (90-XX) 1,293 Calculus of variations and optimal control; optimization (49-XX) 252 Numerical analysis (65-XX) 198 Operator theory (47-XX) 131 Functional analysis (46-XX) 124 Global analysis, analysis on manifolds (58-XX) 121 Ordinary differential equations (34-XX) 113 Real functions (26-XX) 103 Systems theory; control (93-XX) 85 General topology (54-XX) 85 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Partial differential equations (35-XX) 33 Convex and discrete geometry (52-XX) 23 Measure and integration (28-XX) 17 Mechanics of deformable solids (74-XX) 15 Computer science (68-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Approximations and expansions (41-XX) 14 Mechanics of particles and systems (70-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Information and communication theory, circuits (94-XX) 12 Algebraic geometry (14-XX) 11 Differential geometry (53-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Statistics (62-XX) 8 Probability theory and stochastic processes (60-XX) 7 Mathematical logic and foundations (03-XX) 7 Fluid mechanics (76-XX) 7 Biology and other natural sciences (92-XX) 6 History and biography (01-XX) 6 Difference and functional equations (39-XX) 6 Integral equations (45-XX) 4 Several complex variables and analytic spaces (32-XX) 3 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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