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Set-Valued and Variational Analysis

Theory 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

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

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
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Calmness and calculus: two basic patterns. Zbl 1484.49026
Benko, Matúš; Mehlitz, Patrick
2
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The obstacle problem at zero for the fractional \(p\)-Laplacian. Zbl 07490854
Frassu, Silvia; Rocha, Eugénio M.; Staicu, Vasile
2
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Estimates of generalized hessians for optimal value functions in mathematical programming. Zbl 1492.90181
Zemkoho, Alain B.
2
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Optimal control and directional differentiability for elliptic quasi-variational inequalities. Zbl 07563231
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
2
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An algorithm for best generalised rational approximation of continuous functions. Zbl 1492.90123
Díaz Millán, R.; Sukhorukova, Nadezda; Ugon, Julien
2
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Characterizations of some transversality-type properties. Zbl 1497.49025
Apostolov, Stoyan; Bivas, Mira; Ribarska, Nadezhda
2
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Stability of minimization problems and the error bound condition. Zbl 07563240
Balashov, Maxim V.
2
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Nonconvex and nonsmooth approaches for affine chance-constrained stochastic programs. Zbl 1492.90100
Cui, Ying; Liu, Junyi; Pang, Jong-Shi
2
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Derivatives of probability functions: unions of polyhedra and elliptical distributions. Zbl 1489.90092
van Ackooij, Wim; Javal, Paul; Pérez-Aros, Pedro
1
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On the strong convergence of forward-backward splitting in reconstructing jointly sparse signals. Zbl 1495.94012
Dexter, Nick; Tran, Hoang; Webster, Clayton G.
1
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Capra-convexity, convex factorization and variational formulations for the \(\ell_0\) pseudonorm. Zbl 1500.46056
Chancelier, Jean-Philippe; De Lara, Michel
1
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A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems. Zbl 1490.49013
Vilches, Emilio
1
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About error bounds in metrizable topological vector spaces. Zbl 1514.46052
Abbasi, Malek; Théra, Michel
1
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On the generalized Jacobian of the inverse of a Lipschitzian mapping. Zbl 1521.47100
Fabian, M.; Hiriart-Urruty, J.-B.; Pauwels, E.
1
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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
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Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations. Zbl 1485.35271
Dinh, Tuan Nguyen
1
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Superdifferential analysis of the Takagi-van der Waerden functions. Zbl 1506.26002
Ferrera, Juan; Gil, Javier Gómez; Llorente, Jesús
1
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Correction to: “On the continuity of the tangent cone to the determinantal variety”. Zbl 1493.49021
Olikier, Guillaume; Absil, P.-A.
1
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The projection onto the cross. Zbl 1500.90051
Bauschke, Heinz H.; Lal, Manish Krishan; Wang, Xianfu
1
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On the nonemptiness and boundedness of solution sets of weakly homogeneous optimization problems. Zbl 1492.90171
Hieu, Vu Trung
1
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A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators. Zbl 1481.47082
Cevher, Volkan; Vũ, Bằng Công
17
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Continuous Newton-like inertial dynamics for monotone inclusions. Zbl 1477.37101
Attouch, Hedy; László, Szilárd Csaba
15
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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
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Bregman forward-backward operator splitting. Zbl 1487.47097
Bùi, Minh N.; Combettes, Patrick L.
9
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BV continuous solutions of an evolution inclusion with maximal monotone operator and nonconvex-valued perturbation. Existence theorem. Zbl 1482.34144
Tolstonogov, A. A.
8
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Measure differential inclusions: existence results and minimum problems. Zbl 1479.34008
Di Piazza, Luisa; Marraffa, Valeria; Satco, Bianca
7
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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
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New inertial factors of the Krasnosel’skiĭ-Mann iteration. Zbl 07345313
Dong, Yunda
6
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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
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Transversality properties: primal sufficient conditions. Zbl 1470.49029
Cuong, Nguyen Duy; Kruger, Alexander Y.
5
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No infimum gap and normality in optimal impulsive control under state constraints. Zbl 1470.49064
Fusco, Giovanni; Motta, Monica
5
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Generalized sequential differential calculus for expected-integral functionals. Zbl 1472.49036
Mordukhovich, Boris S.; Pérez-Aros, Pedro
5
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Resolvents and Yosida approximations of displacement mappings of isometries. Zbl 1487.47080
Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu
5
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Upper semicontinuity of the solution map to a parametric elliptic optimal control problem. Zbl 1473.49031
Son, N. H.; Giang, N. B.
4
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The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124
Balashov, Maxim V.
4
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On the quantitative solution stability of parameterized set-valued inclusions. Zbl 1470.49035
Uderzo, A.
4
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A constant rank constraint qualification in continuous-time nonlinear programming. Zbl 1527.90215
Cirilo do Monte, Moisés Rodrigues; de Oliveira, Valeriano Antunes
3
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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
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Regularization of Brézis pseudomonotone variational inequalities. Zbl 1462.49033
Bianchi, M.; Kassay, G.; Pini, R.
2
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Differential stability properties in convex scalar and vector optimization. Zbl 1481.49019
An, D. T. V.; Gutiérrez, C.
2
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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
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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
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Ergodic approach to robust optimization and infinite programming problems. Zbl 1473.90103
Pérez-Aros, Pedro
2
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Nonsmooth feedback control for multi-agent dynamics. Zbl 1476.34137
Bivas, Mira; Quincampoix, Marc
2
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Cone-constrained eigenvalue problems: structure of cone spectra. Zbl 1471.15029
Seeger, Alberto
2
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Categorizing with catastrophic radii in numerical minimization. Zbl 1472.65071
Levy, Adam B.
1
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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
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On the FPV property, monotone operator structure and the monotone polar of representable monotone sets. Zbl 1495.47078
Eberhard, A.; Wenczel, R.
1
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MPCC: strong stability of \(m\)-stationary points. Zbl 1479.90200
Günzel, Harald; Hernández Escobar, Daniel; Rückmann, Jan-J.
1
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Algebraic approach to duality in optimization and applications. Zbl 1479.90217
Luc, Dinh The; Volle, Michel
1
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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
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Enlargements of the Moreau-Rockafellar subdifferential. Zbl 1479.90195
Abbasi, Malek; Kruger, Alexander Y.; Théra, Michel
1
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Deep neural network structures solving variational inequalities. Zbl 1448.49014
Combettes, Patrick L.; Pesquet, Jean-Christophe
23
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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
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Cited by 2,780 Authors

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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
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11 Wen, Chingfeng
11 Zhang, Jie
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10 Bednarczuk, Ewa M.
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Cited in 357 Journals

209 Journal of Optimization Theory and Applications
209 Set-Valued and Variational Analysis
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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
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1,388 Operations research, mathematical programming (90-XX)
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