Set-Valued and Variational AnalysisTheory and Applications Short Title: Set-Valued Var. Anal. Publisher: Springer Netherlands, Dordrecht ISSN: 1877-0533; 1877-0541/e Online: https://link.springer.com/journal/11228/volumes-and-issues Predecessor: Set-Valued Analysis Comments: Journal; Indexed cover-to-cover Documents Indexed: 591 Publications (since 2009) References Indexed: 572 Publications with 17,009 References. all top 5 Latest Issues 32, No. 1 (2024) 31, No. 4 (2023) 31, No. 3 (2023) 31, No. 2 (2023) 31, No. 1 (2023) 30, No. 4 (2022) 30, No. 3 (2022) 30, No. 2 (2022) 30, No. 1 (2022) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 4 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 4 (2016) 24, No. 3 (2016) 24, No. 2 (2016) 24, No. 1 (2016) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 23, No. 1 (2015) 22, No. 4 (2014) 22, No. 3 (2014) 22, No. 2 (2014) 22, No. 1 (2014) 21, No. 4 (2013) 21, No. 3 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 4 (2012) 20, No. 3 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 3-4 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) all top 5 Authors 14 Mordukhovich, Boris S. 12 Bauschke, Heinz H. 12 López-Cerdá, Marco Antonio 11 Outrata, Jiří V. 11 Sagastizábal, Claudia A. 11 Théra, Michel A. 10 Kruger, Alexander Y. 10 Wang, Shawn Xianfu 10 Zaslavski, Alexander Yakovlevich 9 Gfrerer, Helmut 9 Zhang, Liwei 8 Burachik, Regina Sandra 8 Henrion, René 8 Martínez-Legaz, Juan-Enrique 8 Thibault, Lionel 8 Ye, Jane J. 7 Adly, Samir 7 Combettes, Patrick L. 7 Hantoute, Abderrahim 6 Borwein, Jonathan Michael 6 Boţ, Radu Ioan 6 Cánovas, María Josefa 6 Goberna, Miguel Angel 6 Nam, Nguyen Mau 6 Seeger, Alberto 6 Volle, Michel 6 Yao, Jen-Chih 5 Aragón Artacho, Francisco Javier 5 Arutyunov, Aram Vladimirovic 5 Aussel, Didier 5 Beer, Gerald Alan 5 Castaing, Charles 5 de Pinho, Maria do Rosário 5 Mehlitz, Patrick 5 Parra, Juan 5 Penot, Jean-Paul 5 Reich, Simeon 5 Simons, Stephen 5 Soubeyran, Antoine 5 Valero, José 5 Yang, Xiaoqi 4 Benko, Matus 4 Bianchi, Monica 4 Bounkhel, Messaoud 4 Červinka, Michal 4 Cibulka, Radek 4 Csetnek, Ernö Robert 4 Dontchev, Asen L. 4 Eberhard, Andrew C. 4 Fabian, Marián J. 4 Li, Shengjie 4 Luke, David Russell 4 Meng, Kaiwen 4 Noll, Dominikus 4 Pérez-Aros, Pedro 4 Pini, Rita 4 Smirnov, Georgi V. 4 Uderzo, Amos 4 Van Ackooij, Wim 4 Wachsmuth, Gerd 4 Wu, Jia 4 Yao, Liangjin 3 Attouch, Hedy 3 Azzam-Laouir, Dalila 3 Burke, James V. 3 Campoy, Rubén 3 Colombo, Giovanni 3 Correa, Rafael Augusto Couceiro 3 Daniilidis, Aris 3 de Oliveira, Welington Luis 3 Donchev, Tzanko Donchev 3 Durea, Marius 3 Haeser, Gabriel 3 Hare, Warren L. 3 Hintermüller, Michael 3 Hoheisel, Tim 3 Huang, Hui 3 Huynh Van Ngai 3 Ivanov, Grigorii E. 3 Izmailov, Alekseĭ F. 3 Kassay, Gábor 3 Konnov, Igor V. 3 Lassonde, Marc 3 Le, Ba Khiet 3 Li, Chong 3 Li, Guoyin 3 Liu, Yulan 3 Malick, Jérôme 3 Miglierina, Enrico 3 Movahedian, Nooshin 3 Pan, Shaohua 3 Pang, Liping 3 Perkkiö, Ari-Pekka 3 Phan Quôc Khánh 3 Phan, Hung M. 3 Pištěk, Miroslav 3 Revalski, Julian Petrov 3 Ribarska, Nadezhda K. 3 Roberto, Lucchetti E. 3 Rockafellar, Ralph Tyrrell ...and 637 more Authors all top 5 Fields 342 Calculus of variations and optimal control; optimization (49-XX) 275 Operations research, mathematical programming (90-XX) 149 Operator theory (47-XX) 74 Functional analysis (46-XX) 74 Numerical analysis (65-XX) 66 Ordinary differential equations (34-XX) 46 General topology (54-XX) 45 Real functions (26-XX) 36 Partial differential equations (35-XX) 34 Convex and discrete geometry (52-XX) 34 Global analysis, analysis on manifolds (58-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Systems theory; control (93-XX) 27 Measure and integration (28-XX) 21 Dynamical systems and ergodic theory (37-XX) 15 General and overarching topics; collections (00-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Approximations and expansions (41-XX) 9 Probability theory and stochastic processes (60-XX) 8 History and biography (01-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of deformable solids (74-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 460 Publications have been cited 3,650 times in 2,786 Documents Cited by ▼ Year ▼ Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators. Zbl 1284.47043 Combettes, Patrick L.; Pesquet, Jean-Christophe 131 2012 A three-operator splitting scheme and its optimization applications. Zbl 1464.47041 Davis, Damek; Yin, Wotao 108 2017 Error bounds: necessary and sufficient conditions. Zbl 1192.49018 Fabian, Marian J.; Henrion, René; Kruger, Alexander Y.; Outrata, Jiří V. 84 2010 On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs. Zbl 1321.49031 Gfrerer, Helmut 68 2013 Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099 Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin 65 2015 Resolvents of set-valued monotone vector fields in Hadamard manifolds. Zbl 1239.47043 Li, Chong; López, Genaro; Martín-Márquez, Victoria; Wang, Jin-Hua 60 2011 Common solutions to variational inequalities. Zbl 1296.47060 Censor, Yair; Gibali, Aviv; Reich, Simeon; Sabach, Shoham 59 2012 A duality theory for set-valued functions. I: Fenchel conjugation theory. Zbl 1168.49031 Hamel, Andreas H. 46 2009 Multiple solutions for nonlinear coercive problems with a nonhomogeneous differential operator and a nonsmooth potential. Zbl 1258.35075 Gasiński, Leszek; Papageorgiou, Nikolaos S. 41 2012 Dualization of signal recovery problems. Zbl 1229.90123 Combettes, Patrick L.; Dũng, Đinh; Vũ, Băng Công 37 2010 Generic existence and approximation of fixed points for nonexpansive set-valued maps. Zbl 1183.47055 de Blasi, Francesco S.; Myjak, Józef; Reich, Simeon; Zaslavski, Alexander J. 34 2009 Restricted normal cones and the method of alternating projections: theory. Zbl 1272.49027 Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu 33 2013 A second-order model for image denoising. Zbl 1203.94006 Bergounioux, Maïtine; Piffet, Loic 30 2010 Error bounds and Hölder metric subregularity. Zbl 1330.49012 Kruger, Alexander Y. 30 2015 Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality. Zbl 1263.47066 Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu 28 2012 Discrete approximations of a controlled sweeping process. Zbl 1312.49015 Colombo, G.; Henrion, R.; Hoang, N. D.; Mordukhovich, B. S. 28 2015 A shared-constraint approach to multi-leader multi-follower games. Zbl 1307.91046 Kulkarni, Ankur A.; Shanbhag, Uday V. 27 2014 Robust duality in parametric convex optimization. Zbl 1327.90195 Boţ, R. I.; Jeyakumar, V.; Li, G. Y. 26 2013 Generalized control systems in the space of probability measures. Zbl 1400.93330 Cavagnari, Giulia; Marigonda, Antonio; Nguyen, Khai T.; Priuli, Fabio S. 25 2018 Properties of chance constraints in infinite dimensions with an application to PDE constrained optimization. Zbl 1410.90135 Farshbaf-Shaker, M. H.; Henrion, R.; Hömberg, D. 25 2018 Optimal control involving sweeping processes. Zbl 1419.49030 de Pinho, M. d. R.; Ferreira, M. M. A.; Smirnov, G. V. 25 2019 Cutting plane oracles to minimize non-smooth non-convex functions. Zbl 1219.49013 Noll, Dominikus 24 2010 Forward-backward and Tseng’s type penalty schemes for monotone inclusion problems. Zbl 1308.47064 Boţ, Radu Ioan; Csetnek, Ernö Robert 24 2014 On global attractors of multivalued semiflows generated by the 3D Bénard system. Zbl 1259.35042 Kapustyan, Alexey V.; Pankov, Andrey V.; Valero, José 24 2012 Calculus rules for derivatives of multimaps. Zbl 1173.54008 Li, S. J.; Meng, K. W.; Penot, J.-P. 23 2009 Deep neural network structures solving variational inequalities. Zbl 1448.49014 Combettes, Patrick L.; Pesquet, Jean-Christophe 23 2020 First and second order convex sweeping processes in reflexive smooth Banach spaces. Zbl 1200.34067 Bounkhel, Messaoud; Al-Yusof, Rabab 22 2010 Codifferential calculus. Zbl 1262.47074 Li, Shengjie; Penot, Jean-Paul; Xue, Xiaowei 22 2011 Calmness of the feasible set mapping for linear inequality systems. Zbl 1297.90163 Cánovas, M. J.; López, M. A.; Parra, J.; Toledo, F. J. 22 2014 About subtransversality of collections of sets. Zbl 1383.49028 Kruger, Alexander Y.; Luke, D. Russell; Thao, Nguyen H. 21 2017 Solving ill-posed bilevel programs. Zbl 1362.90346 Zemkoho, Alain B. 21 2016 Fixed points and variational principles with applications to capability theory of wellbeing via variational rationality. Zbl 1318.49029 Bao, T. Q.; Mordukhovich, B. S.; Soubeyran, A. 21 2015 Regularity of weak solutions and their attractors for a parabolic feedback control problem. Zbl 1327.35468 Kasyanov, Pavlo O.; Toscano, Luisa; Zadoianchuk, Nina V. 21 2013 A maximum principle for the controlled sweeping process. Zbl 1398.49015 Arroud, Chems Eddine; Colombo, Giovanni 21 2018 A proximal point-type method for multicriteria optimization. Zbl 1296.90113 Bento, G. C.; Neto, J. X. Cruz; Soubeyran, A. 20 2014 Variational analysis of directional minimal time functions and applications to location problems. Zbl 1321.49028 Nam, Nguyen Mau; Zălinescu, Constantin 20 2013 A class of generalized evolutionary problems driven by variational inequalities and fractional operators. Zbl 1441.47076 Migórski, Stanisław; Zeng, Shengda 20 2019 Restricted normal cones and the method of alternating projections: applications. Zbl 1349.65191 Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu 20 2013 On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs. Zbl 1297.49023 Gfrerer, Helmut 19 2014 An inertial algorithm for DC programming. Zbl 1434.90151 de Oliveira, Welington; Tcheou, Michel P. 19 2019 Inradius and circumradius of various convex cones arising in applications. Zbl 1217.46047 Henrion, René; Seeger, Alberto 18 2010 Local search proximal algorithms as decision dynamics with costs to move. Zbl 1209.49042 Attouch, H.; Soubeyran, A. 18 2011 Variational geometric approach to generalized differential and conjugate calculi in convex analysis. Zbl 1392.49019 Mordukhovich, B. S.; Nam, N. M.; Rector, R. B.; Tran, T. 18 2017 Perturbed evolution problems with continuous bounded variation in time and applications. Zbl 1403.34046 Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, M. D. P. 18 2018 Uniform continuity, uniform convergence, and shields. Zbl 1236.54012 Beer, Gerald; Levi, Sandro 17 2010 Second-order optimality conditions for a semilinear elliptic optimal control problem with mixed pointwise constraints. Zbl 1368.49023 Kien, B. T.; Nhu, V. H.; Son, N. H. 17 2017 A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators. Zbl 1481.47082 Cevher, Volkan; Vũ, Bằng Công 17 2021 On subregularity properties of set-valued mappings. Zbl 1285.90062 Apetrii, Marius; Durea, Marius; Strugariu, Radu 17 2013 (Sub-)differentiability of probability functions with elliptical distributions. Zbl 1416.90028 van Ackooij, W.; Aleksovska, I.; Munoz-Zuniga, M. 17 2018 On properties of different notions of centers for convex cones. Zbl 1198.46011 Henrion, René; Seeger, Alberto 16 2010 Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints. Zbl 1261.90058 Zhang, Yi; Zhang, Liwei; Wu, Jia 16 2011 About intrinsic transversality of pairs of sets. Zbl 1387.49023 Kruger, Alexander Y. 16 2018 Clarke generalized Jacobian of the projection onto symmetric cones. Zbl 1168.49043 Kong, Lingchen; Tunçel, Levent; Xiu, Naihua 16 2009 Mixed semicontinuous perturbation of nonconvex state-dependent sweeping process. Zbl 1307.34033 Azzam-Laouir, Dalila; Izza, Sabrina; Thibault, Lionel 16 2014 On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions. Zbl 1365.65160 Bello Cruz, José Yunier 16 2017 The limiting normal cone to pointwise defined sets in Lebesgue spaces. Zbl 1401.49018 Mehlitz, Patrick; Wachsmuth, Gerd 16 2018 On stochastic mirror-prox algorithms for stochastic Cartesian variational inequalities: randomized block coordinate and optimal averaging schemes. Zbl 07002699 Yousefian, Farzad; Nedić, Angelia; Shanbhag, Uday V. 16 2018 Nonlocal problems for differential inclusions in Hilbert spaces. Zbl 1312.34097 Benedetti, I.; Loi, N. V.; Malaguti, L. 15 2014 Graphical derivatives and stability analysis for parameterized equilibria with conic constraints. Zbl 1330.49013 Mordukhovich, Boris S.; Outrata, Jiri V.; Ramírez C., Héctor 15 2015 Perspective functions: properties, constructions, and examples. Zbl 1396.26021 Combettes, Patrick L. 15 2018 Continuous Newton-like inertial dynamics for monotone inclusions. Zbl 1477.37101 Attouch, Hedy; László, Szilárd Csaba 15 2021 On the theory of global attractors and Lyapunov functionals. Zbl 1260.37048 Coti Zelati, Michele 15 2013 On optimality conditions in control of elliptic variational inequalities. Zbl 1211.49036 Outrata, Jiří; Jarušek, Jiří; Stará, Jana 14 2011 Subgradients of the value function to a parametric optimal control problem. Zbl 1214.47064 Toan, N. T.; Kien, B. T. 14 2010 Three solutions for a partial differential inclusion via nonsmooth critical point theory. Zbl 1219.35381 Iannizzotto, Antonio 14 2011 Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027 Burke, James V.; Hoheisel, Tim; Kanzow, Christian 14 2013 Calculus for directional limiting normal cones and subdifferentials. Zbl 1426.49018 Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V. 14 2019 Variational analysis perspective on linear convergence of some first order methods for nonsmooth convex optimization problems. Zbl 1484.90082 Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin 14 2021 Some results on strongly pseudomonotone quasi-variational inequalities. Zbl 1441.49013 Nguyen, Luong V.; Qin, Xiaolong 14 2020 A review on ambiguity in stochastic portfolio optimization. Zbl 1416.90026 Pflug, Georg Ch.; Pohl, Mathias 14 2018 Asymptotics for some proximal-like method involving inertia and memory aspects. Zbl 1214.65037 Cabot, Alexandre; Frankel, Pierre 13 2011 Equilibrium problems: existence results and applications. Zbl 06861473 Cotrina, John; García, Yboon 13 2018 Nonsmooth bundle trust-region algorithm with applications to robust stability. Zbl 1334.49092 Apkarian, Pierre; Noll, Dominikus; Ravanbod, Laleh 13 2016 Flow invariance on stratified domains. Zbl 1327.93215 Barnard, Richard C.; Wolenski, Peter R. 13 2013 Well-posedness of minimal time problems with constant dynamics in Banach spaces. Zbl 1219.49014 Colombo, Giovanni; Goncharov, Vladimir V.; Mordukhovich, Boris S. 12 2010 New formulas for the Fenchel subdifferential of the conjugate function. Zbl 1205.26018 Correa, Rafael; Hantoute, Abderrahim 12 2010 Characterizing convexity of a function by its Fréchet and limiting second-order subdifferentials. Zbl 1209.49031 Chieu, N. H.; Chuong, T. D.; Yao, J.-C.; Yen, N. D. 12 2011 Constraint qualifications for nonsmooth mathematical programs with equilibrium constraints. Zbl 1191.90070 Movahedian, N.; Nobakhtian, S. 12 2009 Stability and optimality of solutions to differential inclusions via averaging method. Zbl 1307.34001 Gama, Ricardo; Smirnov, Georgi 12 2014 Necessary optimality conditions for mathematical programs with second-order cone complementarity constraints. Zbl 1297.90152 Liang, Yan-Chao; Zhu, Xi-De; Lin, Gui-Hua 12 2014 Mathematical programs with semidefinite cone complementarity constraints: constraint qualifications and optimality conditions. Zbl 1296.90118 Wu, Jia; Zhang, Liwei; Zhang, Yi 12 2014 Necessary optimality conditions for optimal control problems with nonsmooth mixed state and control constraints. Zbl 1350.49027 Li, An; Ye, Jane J. 12 2016 Nonsmooth Lur’e dynamical systems in Hilbert spaces. Zbl 1333.37113 Adly, Samir; Hantoute, Abderrahim; Le, Ba Khiet 12 2016 Infimum gaps for limit solutions. Zbl 1311.49087 Aronna, M.-Soledad; Motta, Monica; Rampazzo, Franco 12 2015 Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047 Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 12 2015 Equivalent conditions for local error bounds. Zbl 1254.49011 Meng, K. W.; Yang, X. Q. 12 2012 Metric regularity of mappings and generalized normals to set images. Zbl 1218.49023 Mordukhovich, Boris S.; Nam, Nguyen Mau; Wang, Bingwu 11 2009 Infinite horizon optimal control problems in the light of convex analysis in Hilbert spaces. Zbl 1311.49084 Pickenhain, Sabine 11 2015 Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity. With applications to optimization with semidefinite and second-order-cone complementarity constraints. Zbl 1368.49018 Wachsmuth, Gerd 11 2017 Dynamics of the Douglas-Rachford method for ellipses and \(p\)-spheres. Zbl 06913665 Borwein, Jonathan M.; Lindstrom, Scott B.; Sims, Brailey; Schneider, Anna; Skerritt, Matthew P. 11 2018 Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007 Rockafellar, R. Tyrrell 11 2019 Connectedness of approximate efficient solutions for generalized semi-infinite vector optimization problems. Zbl 1430.90514 Peng, Zai-Yun; Wang, Xianfu; Yang, Xin-Min 11 2019 Global solutions for nonlinear delay evolution inclusions with nonlocal initial conditions. Zbl 1266.34127 Vrabie, Ioan I. 11 2012 On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind. Zbl 1471.47039 Hintermüller, M.; Surowiec, T. M. 11 2018 The Josephy-Newton method for semismooth generalized equations and semismooth SQP for optimization. Zbl 1285.90065 Izmailov, Alexey F.; Kurennoy, Alexey S.; Solodov, Mikhail V. 11 2013 Solving stochastic programming problems with risk measures by progressive hedging. Zbl 1416.90027 Rockafellar, R. Tyrrell 11 2018 State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces. Zbl 1262.34072 Bounkhel, Messaoud; Castaing, Charles 10 2012 Convex hull algorithms for piecewise linear-quadratic functions in computational convex analysis. Zbl 1205.90222 Gardiner, Bryan; Lucet, Yves 10 2010 Convex inequalities without constraint qualification nor closedness condition, and their applications in optimization. Zbl 1231.90381 Dinh, N.; Goberna, M. A.; López, M. A.; Volle, M. 10 2010 Negatively invariant sets and entire trajectories of set-valued dynamical systems. Zbl 1225.37022 Kloeden, Peter E.; Marín-Rubio, Pedro 10 2011 On successive approximations for compact-valued nonexpansive mappings. Zbl 07719237 Medjic, Emir 2 2023 Sequential constant rank constraint qualifications for nonlinear semidefinite programming with algorithmic applications. Zbl 1528.90179 Andreani, Roberto; Haeser, Gabriel; Mito, Leonardo M.; Ramírez, Héctor 2 2023 The intrinsic core and minimal faces of convex sets in general vector spaces. Zbl 1517.46003 Millán, R. Díaz; Roshchina, Vera 2 2023 Conservative parametric optimality and the ridge method for tame min-max problems. Zbl 1518.49031 Pauwels, Edouard 1 2023 The homogenization cone: polar cone and projection. Zbl 1522.90086 Bauschke, Heinz H.; Bendit, Theo; Wang, Hansen 1 2023 Fast continuous dynamics inside the graph of maximally monotone operators. Zbl 07660559 Maingé, Paul-Emile; Weng-Law, André 1 2023 Dynamics of nonautomous impulsive multivalued processes. Zbl 1510.35063 Caraballo, Tomás; Uzal, José M. 1 2023 On the weak second-order optimality condition for nonlinear semidefinite and second-order cone programming. Zbl 1528.90276 Fukuda, Ellen H.; Haeser, Gabriel; Mito, Leonardo M. 1 2023 Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces. Zbl 1515.41019 Alimov, Alexey R.; Tsar’kov, Igor’ G. 9 2022 Sufficient conditions for metric subregularity of constraint systems with applications to disjunctive and ortho-disjunctive programs. Zbl 1484.49025 Benko, Matúš; Červinka, Michal; Hoheisel, Tim 6 2022 Convergence of constant step stochastic gradient descent for non-smooth non-convex functions. Zbl 1497.65099 Bianchi, Pascal; Hachem, Walid; Schechtman, Sholom 6 2022 On fractional evolution inclusion coupled with a time and state dependent maximal monotone operator. Zbl 1500.34006 Castaing, Charles; Godet-Thobie, C.; Saïdi, Soumia 5 2022 Vector optimization with domination structures: variational principles and applications. Zbl 1494.90103 Bao, Truong Q.; Mordukhovich, Boris S.; Soubeyran, Antoine; Tammer, Christiane 4 2022 Perturbation techniques for convergence analysis of proximal gradient method and other first-order algorithms via variational analysis. Zbl 1487.90643 Wang, Xiangfeng; Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin 4 2022 Erratum to: “New constraint qualifications and optimality conditions for second order cone programs”. Zbl 1487.90516 Andreani, R.; Fukuda, E. H.; Haeser, G.; Ramírez, H.; Santos, D. O.; Silva, P. J. S.; Silveira, T. P. 4 2022 A direct proof of convergence of Davis-Yin splitting algorithm allowing larger stepsizes. Zbl 07563237 Aragón-Artacho, Francisco J.; Torregrosa-Belén, David 4 2022 First-order frameworks for continuous Newton-like dynamics governed by maximally monotone operators. Zbl 1498.37139 Labarre, Florian; Maingé, Paul-Emile 3 2022 Conservative and semismooth derivatives are equivalent for semialgebraic maps. Zbl 1487.49014 Davis, Damek; Drusvyatskiy, Dmitriy 3 2022 Distance function associated to a prox-regular set. Zbl 1492.49020 Nacry, Florent; Thibault, Lionel 3 2022 On ranges of non-linear operators. Zbl 1507.47110 Cibulka, Radek; Roubal, Tomáš 3 2022 On the application of the SCD semismooth* Newton method to variational inequalities of the second kind. Zbl 1517.65056 Gfrerer, Helmut; Outrata, Jiří V.; Valdman, Jan 3 2022 Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization. Zbl 1487.90610 Sarabi, M. Ebrahim 3 2022 R-regularity of set-valued mappings under the relaxed constant positive linear dependence constraint qualification with applications to parametric and bilevel optimization. Zbl 1484.49035 Mehlitz, Patrick; Minchenko, Leonid I. 3 2022 Metric regularity and Lyusternik-Graves theorem via approximate fixed points of set-valued maps in noncomplete metric spaces. Zbl 1484.49030 Ait Mansour, Mohamed; Bahraoui, Mohamed Amin; El Bekkali, Adham 3 2022 Circumcentering reflection methods for nonconvex feasibility problems. Zbl 1492.90134 Dizon, Neil D.; Hogan, Jeffrey A.; Lindstrom, Scott B. 3 2022 Topological approach to mathematical programs with switching constraints. Zbl 1489.90142 Shikhman, Vladimir 2 2022 On nonconvex pseudomonotone equilibrium problems with applications. Zbl 1489.90137 Lara, F. 2 2022 Kantorovich’s fixed point theorem and coincidence point theorems for mappings in vector metric spaces. Zbl 1506.54016 Arutyunov, Aram V.; Zhukovskiy, Evgeny S.; Zhukovskiy, Sergey E.; Zhukovskaya, Zukhra T. 2 2022 The boosted DC algorithm for linearly constrained DC programming. Zbl 1518.65060 Aragón-Artacho, F. J.; Campoy, R.; Vuong, P. T. 2 2022 Calmness and calculus: two basic patterns. Zbl 1484.49026 Benko, Matúš; Mehlitz, Patrick 2 2022 The obstacle problem at zero for the fractional \(p\)-Laplacian. Zbl 07490854 Frassu, Silvia; Rocha, Eugénio M.; Staicu, Vasile 2 2022 Estimates of generalized hessians for optimal value functions in mathematical programming. Zbl 1492.90181 Zemkoho, Alain B. 2 2022 Optimal control and directional differentiability for elliptic quasi-variational inequalities. Zbl 07563231 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 2 2022 An algorithm for best generalised rational approximation of continuous functions. Zbl 1492.90123 Díaz Millán, R.; Sukhorukova, Nadezda; Ugon, Julien 2 2022 Characterizations of some transversality-type properties. Zbl 1497.49025 Apostolov, Stoyan; Bivas, Mira; Ribarska, Nadezhda 2 2022 Stability of minimization problems and the error bound condition. Zbl 07563240 Balashov, Maxim V. 2 2022 Nonconvex and nonsmooth approaches for affine chance-constrained stochastic programs. Zbl 1492.90100 Cui, Ying; Liu, Junyi; Pang, Jong-Shi 2 2022 Derivatives of probability functions: unions of polyhedra and elliptical distributions. Zbl 1489.90092 van Ackooij, Wim; Javal, Paul; Pérez-Aros, Pedro 1 2022 On the strong convergence of forward-backward splitting in reconstructing jointly sparse signals. Zbl 1495.94012 Dexter, Nick; Tran, Hoang; Webster, Clayton G. 1 2022 Capra-convexity, convex factorization and variational formulations for the \(\ell_0\) pseudonorm. Zbl 1500.46056 Chancelier, Jean-Philippe; De Lara, Michel 1 2022 A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems. Zbl 1490.49013 Vilches, Emilio 1 2022 About error bounds in metrizable topological vector spaces. Zbl 1514.46052 Abbasi, Malek; Théra, Michel 1 2022 On the generalized Jacobian of the inverse of a Lipschitzian mapping. Zbl 1521.47100 Fabian, M.; Hiriart-Urruty, J.-B.; Pauwels, E. 1 2022 Generalized differentiation and duality in infinite dimensions under polyhedral convexity. Zbl 1512.90242 Cuong, D. V.; Mordukhovich, B. S.; Nam, N. M.; Sandine, G. 1 2022 Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations. Zbl 1485.35271 Dinh, Tuan Nguyen 1 2022 Superdifferential analysis of the Takagi-van der Waerden functions. Zbl 1506.26002 Ferrera, Juan; Gil, Javier Gómez; Llorente, Jesús 1 2022 Correction to: “On the continuity of the tangent cone to the determinantal variety”. Zbl 1493.49021 Olikier, Guillaume; Absil, P.-A. 1 2022 The projection onto the cross. Zbl 1500.90051 Bauschke, Heinz H.; Lal, Manish Krishan; Wang, Xianfu 1 2022 On the nonemptiness and boundedness of solution sets of weakly homogeneous optimization problems. Zbl 1492.90171 Hieu, Vu Trung 1 2022 A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators. Zbl 1481.47082 Cevher, Volkan; Vũ, Bằng Công 17 2021 Continuous Newton-like inertial dynamics for monotone inclusions. Zbl 1477.37101 Attouch, Hedy; László, Szilárd Csaba 15 2021 Variational analysis perspective on linear convergence of some first order methods for nonsmooth convex optimization problems. Zbl 1484.90082 Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin 14 2021 Bregman forward-backward operator splitting. Zbl 1487.47097 Bùi, Minh N.; Combettes, Patrick L. 9 2021 BV continuous solutions of an evolution inclusion with maximal monotone operator and nonconvex-valued perturbation. Existence theorem. Zbl 1482.34144 Tolstonogov, A. A. 8 2021 Measure differential inclusions: existence results and minimum problems. Zbl 1479.34008 Di Piazza, Luisa; Marraffa, Valeria; Satco, Bianca 7 2021 On the analysis of variance-reduced and randomized projection variants of single projection schemes for monotone stochastic variational inequality problems. Zbl 1473.90097 Cui, Shisheng; Shanbhag, Uday V. 7 2021 New inertial factors of the Krasnosel’skiĭ-Mann iteration. Zbl 07345313 Dong, Yunda 6 2021 On a time and state dependent maximal monotone operator coupled with a sweeping process with perturbations. Zbl 1469.34057 Benguessoum, Messaouda; Azzam-Laouir, Dalila; Castaing, Charles 6 2021 Transversality properties: primal sufficient conditions. Zbl 1470.49029 Cuong, Nguyen Duy; Kruger, Alexander Y. 5 2021 No infimum gap and normality in optimal impulsive control under state constraints. Zbl 1470.49064 Fusco, Giovanni; Motta, Monica 5 2021 Generalized sequential differential calculus for expected-integral functionals. Zbl 1472.49036 Mordukhovich, Boris S.; Pérez-Aros, Pedro 5 2021 Resolvents and Yosida approximations of displacement mappings of isometries. Zbl 1487.47080 Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu 5 2021 Upper semicontinuity of the solution map to a parametric elliptic optimal control problem. Zbl 1473.49031 Son, N. H.; Giang, N. B. 4 2021 The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124 Balashov, Maxim V. 4 2021 On the quantitative solution stability of parameterized set-valued inclusions. Zbl 1470.49035 Uderzo, A. 4 2021 A constant rank constraint qualification in continuous-time nonlinear programming. Zbl 1527.90215 Cirilo do Monte, Moisés Rodrigues; de Oliveira, Valeriano Antunes 3 2021 Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets. Zbl 1462.35138 Bardi, Martino; Feleqi, Ermal; Soravia, Pierpaolo 2 2021 Regularization of Brézis pseudomonotone variational inequalities. Zbl 1462.49033 Bianchi, M.; Kassay, G.; Pini, R. 2 2021 Differential stability properties in convex scalar and vector optimization. Zbl 1481.49019 An, D. T. V.; Gutiérrez, C. 2 2021 Existence results for quasi-variational inequalities with applications to Radner equilibrium problems. Resolution through variational inequalities. Zbl 1481.49012 Aussel, D.; Donato, M. B.; Milasi, M.; Sultana, A. 2 2021 On the positive definiteness of limiting coderivative for set-valued mappings. Zbl 1470.49034 Nghia, T. T. A.; Pham, D. T.; Tran, T. T. T. 2 2021 Ergodic approach to robust optimization and infinite programming problems. Zbl 1473.90103 Pérez-Aros, Pedro 2 2021 Nonsmooth feedback control for multi-agent dynamics. Zbl 1476.34137 Bivas, Mira; Quincampoix, Marc 2 2021 Cone-constrained eigenvalue problems: structure of cone spectra. Zbl 1471.15029 Seeger, Alberto 2 2021 Categorizing with catastrophic radii in numerical minimization. Zbl 1472.65071 Levy, Adam B. 1 2021 Calmness of linear constraint systems under structured perturbations with an application to the path-following scheme. Zbl 1486.90195 Argáez, C.; Cánovas, M. J.; Parra, J. 1 2021 On the FPV property, monotone operator structure and the monotone polar of representable monotone sets. Zbl 1495.47078 Eberhard, A.; Wenczel, R. 1 2021 MPCC: strong stability of \(m\)-stationary points. Zbl 1479.90200 Günzel, Harald; Hernández Escobar, Daniel; Rückmann, Jan-J. 1 2021 Algebraic approach to duality in optimization and applications. Zbl 1479.90217 Luc, Dinh The; Volle, Michel 1 2021 Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus. Zbl 1482.46097 Correa, R.; Hantoute, A.; López, M. A. 1 2021 Enlargements of the Moreau-Rockafellar subdifferential. Zbl 1479.90195 Abbasi, Malek; Kruger, Alexander Y.; Théra, Michel 1 2021 Deep neural network structures solving variational inequalities. Zbl 1448.49014 Combettes, Patrick L.; Pesquet, Jean-Christophe 23 2020 Some results on strongly pseudomonotone quasi-variational inequalities. Zbl 1441.49013 Nguyen, Luong V.; Qin, Xiaolong 14 2020 Evolution inclusions governed by time-dependent maximal monotone operators with a full domain. Zbl 1511.34072 Vilches, Emilio; Nguyen, Bao Tran 10 2020 The radius of metric subregularity. Zbl 1447.49030 Dontchev, Asen L.; Gfrerer, Helmut; Kruger, Alexander Y.; Outrata, Jiří V. 8 2020 On a class of Lur’e dynamical systems with state-dependent set-valued feedback. Zbl 1451.37106 Le, Ba Khiet 8 2020 Generalized derivatives for the solution operator of the obstacle problem. Zbl 1442.49030 Rauls, Anne-Therese; Wachsmuth, Gerd 8 2020 On inexact relative-error hybrid proximal extragradient, forward-backward and Tseng’s modified forward-backward methods with inertial effects. Zbl 1445.90079 Alves, M. Marques; Marcavillaca, Raul T. 8 2020 Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems. Zbl 1491.90167 Dolgopolik, M. V. 7 2020 Duality for the robust sum of functions. Zbl 1476.90346 Dinh, N.; Goberna, M. A.; Volle, Michel 7 2020 Stability analysis for parameterized variational systems with implicit constraints. Zbl 1437.49017 Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V. 7 2020 The ABC of DC programming. Zbl 1467.90037 de Oliveira, Welington 6 2020 A projection algorithm for non-monotone variational inequalities. Zbl 1434.90201 Burachik, Regina S.; Díaz Millán, R. 6 2020 An inverse mapping theorem in Fréchet-Montel spaces. Zbl 1446.49014 Cibulka, Radek; Fabian, Marián; Roubal, Tomáš 6 2020 On the stability of the directional regularity. Zbl 1442.47036 Cibulka, Radek; Durea, Marius; Panţiruc, Marian; Strugariu, Radu 6 2020 New sharp necessary optimality conditions for mathematical programs with equilibrium constraints. Zbl 1491.90161 Gfrerer, Helmut; Ye, Jane J. 6 2020 A discussion of probability functions and constraints from a variational perspective. Zbl 1467.90028 van Ackooij, Wim 5 2020 Continuous dynamics related to monotone inclusions and non-smooth optimization problems. Zbl 1471.34123 Csetnek, Ernö Robert 4 2020 Nonsmoothness in machine learning: specific structure, proximal identification, and applications. Zbl 1506.90272 Iutzeler, Franck; Malick, Jérôme 4 2020 Some new characterizations of intrinsic transversality in Hilbert spaces. Zbl 1437.90152 Thao, Nguyen Hieu; Bui, Hoa T.; Cuong, Nguyen Duy; Verhaegen, Michel 4 2020 ...and 360 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,780 Authors 38 Mordukhovich, Boris S. 37 Boţ, Radu Ioan 35 Yao, Jen-Chih 33 Kruger, Alexander Y. 31 Papageorgiou, Nikolaos S. 29 Zaslavski, Alexander Yakovlevich 26 Bauschke, Heinz H. 26 Soubeyran, Antoine 26 Wang, Shawn Xianfu 24 Reich, Simeon 23 Mehlitz, Patrick 23 Pérez-Aros, Pedro 22 Adly, Samir 22 Csetnek, Ernö Robert 22 López-Cerdá, Marco Antonio 22 Ye, Jane J. 21 Wachsmuth, Gerd 20 Combettes, Patrick L. 20 Durea, Marius 20 Gfrerer, Helmut 20 Hantoute, Abderrahim 19 Kasyanov, Pavlo O. 18 Thibault, Lionel 18 Van Ackooij, Wim 17 Noll, Dominikus 17 Thai Doan Chuong 17 Théra, Michel A. 17 Zhang, Liwei 16 Arutyunov, Aram Vladimirovic 16 Cánovas, María Josefa 16 Dang Van Hieu 16 Parra, Juan 16 Seeger, Alberto 16 Zeng, Shengda 16 Zhang, Jin 15 Attouch, Hedy 15 Gasiński, Leszek 15 Goberna, Miguel Angel 15 Henrion, René 15 Strugariu, Radu 14 Huynh Van Ngai 14 Kapustyan, Oleksiy V. 14 Kumam, Poom 14 Li, Shengjie 14 Tang, Yuchao 14 Valero, José 14 Volle, Michel 13 Anh, Nguyen Le Hoang 13 Aragón Artacho, Francisco Javier 13 Azzam-Laouir, Dalila 13 Christof, Constantin 13 Nguyen Thi Toan 13 Nobakhtian, Soghra 13 Vũ, Bằng Công 13 Yang, Xiaoqi 13 Yao, Liangjin 12 Borwein, Jonathan Michael 12 Bounkhel, Messaoud 12 Briceño-Arias, Luis M. 12 Castaing, Charles 12 Correa, Rafael Augusto Couceiro 12 da Cruz Neto, João Xavier 12 de Oliveira, Welington Luis 12 Izuchukwu, Chinedu 12 Li, Minghua 12 Liu, Zhenhai 12 Mahmudov, Elimhan Nadir 12 Martínez-Legaz, Juan-Enrique 12 Mewomo, Oluwatosin Temitope 12 Nam, Nguyen Mau 12 Outrata, Jiří V. 12 Phan, Hung M. 12 Sun, Xiangkai 12 Tam, Matthew K. 12 Zidani, Hasnaa 11 Alimov, Alexey R. 11 Beer, Gerald Alan 11 Cibulka, Radek 11 Fadili, Jalal M. 11 Gorban, Nataliia V. 11 Hu, Yijun 11 Izmailov, Alekseĭ F. 11 Le, Ba Khiet 11 Marigonda, Antonio 11 Motta, Monica 11 Penot, Jean-Paul 11 Royset, Johannes O. 11 Tsar’kov, Igor’ Germanovich 11 Vilches, Emilio 11 Wen, Chingfeng 11 Zhang, Jie 10 Ansari, Qamrul Hasan 10 Bednarczuk, Ewa M. 10 Campoy, Rubén 10 Chen, Yanhong 10 Dao, Minh Ngoc 10 Hamel, Andreas H. 10 Jolaoso, Lateef Olakunle O. 10 Lindstrom, Scott B. 10 Luke, David Russell ...and 2,680 more Authors all top 5 Cited in 357 Journals 209 Journal of Optimization Theory and Applications 209 Set-Valued and Variational Analysis 173 Optimization 120 SIAM Journal on Optimization 98 Mathematical Programming. Series A. Series B 87 Journal of Mathematical Analysis and Applications 80 Optimization Letters 72 Journal of Global Optimization 70 Computational Optimization and Applications 58 Journal of Convex Analysis 47 SIAM Journal on Control and Optimization 44 Positivity 42 Applied Mathematics and Optimization 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 38 Numerical Functional Analysis and Optimization 31 Vietnam Journal of Mathematics 31 Journal of Inequalities and Applications 30 Applicable Analysis 28 Journal of Differential Equations 27 Annals of Operations Research 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 Journal of Industrial and Management Optimization 25 Optimization Methods & Software 25 Journal of Nonlinear and Variational Analysis 24 Journal of Fixed Point Theory and Applications 23 Numerical Algorithms 19 Computational and Applied Mathematics 19 SIAM Journal on Imaging Sciences 17 Mathematics of Operations Research 16 Discrete and Continuous Dynamical Systems. Series B 15 Results in Mathematics 15 Mediterranean Journal of Mathematics 15 Fixed Point Theory and Applications 14 Calculus of Variations and Partial Differential Equations 13 Applied Mathematics and Computation 13 Topology and its Applications 13 Operations Research Letters 13 European Journal of Operational Research 13 Journal of Mathematical Imaging and Vision 12 Journal of Scientific Computing 12 Mathematical Problems in Engineering 12 Discrete and Continuous Dynamical Systems. Series S 11 Journal of Mathematical Sciences (New York) 11 Filomat 10 Inverse Problems 10 Proceedings of the American Mathematical Society 10 Discrete and Continuous Dynamical Systems 10 Abstract and Applied Analysis 9 Mathematical Methods in the Applied Sciences 9 Optimization and Engineering 9 Nonlinear Analysis. Real World Applications 9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Journal of the Operations Research Society of China 9 Evolution Equations and Control Theory 9 Journal of Function Spaces 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Computational and Applied Mathematics 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Topological Methods in Nonlinear Analysis 8 Mathematical Methods of Operations Research 8 Mathematical Control and Related Fields 7 Asia-Pacific Journal of Operational Research 7 Top 7 Journal of the Australian Mathematical Society 7 Advances in Difference Equations 7 Boundary Value Problems 7 Journal of Nonlinear Science and Applications 6 Journal of Functional Analysis 6 Linear Algebra and its Applications 6 SIAM Journal on Scientific Computing 6 Applied and Computational Harmonic Analysis 6 Communications in Nonlinear Science and Numerical Simulation 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Thai Journal of Mathematics 6 OJMO. Open Journal of Mathematical Optimization 6 Fixed Point Theory and Algorithms for Sciences and Engineering 5 Journal of Mathematical Economics 5 SIAM Journal on Numerical Analysis 5 Advances in Computational Mathematics 5 Communications in Contemporary Mathematics 5 Differential Equations 5 Foundations of Computational Mathematics 5 Communications on Pure and Applied Analysis 5 Computational Management Science 5 Numerical Algebra, Control and Optimization 5 SIAM Journal on Mathematics of Data Science 4 International Journal of Control 4 Mathematical Notes 4 Beiträge zur Algebra und Geometrie 4 Acta Mathematica Vietnamica 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Automatica 4 Numerische Mathematik 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 SIAM Journal on Mathematical Analysis 4 Economic Theory 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Sbornik: Mathematics 4 INFORMS Journal on Computing ...and 257 more Journals all top 5 Cited in 52 Fields 1,388 Operations research, mathematical programming (90-XX) 1,209 Calculus of variations and optimal control; optimization (49-XX) 673 Operator theory (47-XX) 518 Numerical analysis (65-XX) 251 Partial differential equations (35-XX) 225 Ordinary differential equations (34-XX) 188 General topology (54-XX) 178 Functional analysis (46-XX) 178 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 136 Real functions (26-XX) 122 Global analysis, analysis on manifolds (58-XX) 109 Systems theory; control (93-XX) 93 Dynamical systems and ergodic theory (37-XX) 78 Computer science (68-XX) 74 Convex and discrete geometry (52-XX) 73 Information and communication theory, circuits (94-XX) 66 Measure and integration (28-XX) 41 Statistics (62-XX) 36 Probability theory and stochastic processes (60-XX) 36 Mechanics of deformable solids (74-XX) 34 Approximations and expansions (41-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 26 Biology and other natural sciences (92-XX) 18 Fluid mechanics (76-XX) 16 Difference and functional equations (39-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Differential geometry (53-XX) 11 Mechanics of particles and systems (70-XX) 10 General and overarching topics; collections (00-XX) 10 Mathematical logic and foundations (03-XX) 8 Geometry (51-XX) 8 Algebraic topology (55-XX) 7 Integral equations (45-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Optics, electromagnetic theory (78-XX) 5 History and biography (01-XX) 5 Nonassociative rings and algebras (17-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Topological groups, Lie groups (22-XX) 2 Category theory; homological algebra (18-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year