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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: 618 Publications (since 2009)
References Indexed: 598 Publications with 17,871 References.
all top 5

Authors

14 Mordukhovich, Boris S.
13 López-Cerdá, Marco Antonio
12 Bauschke, Heinz H.
12 Théra, Michel A.
11 Outrata, Jiří V.
11 Sagastizábal, Claudia A.
10 Kruger, Alexander Y.
10 Wang, Shawn Xianfu
10 Zaslavski, Alexander Yakovlevich
9 Gfrerer, Helmut
9 Zhang, Liwei
8 Adly, Samir
8 Burachik, Regina Sandra
8 Hantoute, Abderrahim
8 Henrion, René
8 Martínez-Legaz, Juan-Enrique
8 Thibault, Lionel
8 Yao, Jen-Chih
8 Ye, Jane J.
7 Combettes, Patrick L.
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
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 Pérez-Aros, Pedro
5 Reich, Simeon
5 Simons, Stephen
5 Soubeyran, Antoine
5 Valero, José
5 Van Ackooij, Wim
5 Yang, Xiaoqi
4 Attouch, Hedy
4 Azzam-Laouir, Dalila
4 Benko, Matus
4 Bianchi, Monica
4 Bounkhel, Messaoud
4 Červinka, Michal
4 Cibulka, Radek
4 Correa, Rafael Augusto Couceiro
4 Csetnek, Ernö Robert
4 Daniilidis, Aris
4 Dontchev, Asen L.
4 Eberhard, Andrew C.
4 Fabian, Marián J.
4 Li, Shengjie
4 Luke, David Russell
4 Meng, Kaiwen
4 Movahedian, Nooshin
4 Phan Quôc Khánh
4 Pini, Rita
4 Rockafellar, Ralph Tyrrell
4 Royset, Johannes O.
4 Smirnov, Georgi V.
4 Uderzo, Amos
4 Wachsmuth, Gerd
4 Wu, Jia
4 Yao, Liangjin
3 Benedetti, Irene
3 Burke, James V.
3 Campoy, Rubén
3 Colombo, Giovanni
3 de Oliveira, Welington Luis
3 Dinh, Nguyen
3 Donchev, Tzanko Donchev
3 Durea, Marius
3 Haeser, Gabriel
3 Hare, Warren L.
3 Hermosilla, Cristopher
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 Vasilyevich
3 Lassonde, Marc
3 Le, Ba Khiet
3 Li, Chong
3 Li, Guoyin
3 Liu, Yulan
3 Malick, Jérôme
3 Miglierina, Enrico
3 Migórski, Stanisław
3 Pan, Shaohua
3 Pang, Liping
3 Perkkiö, Ari-Pekka
3 Phan, Hung M.
...and 666 more Authors
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Fields

362 Calculus of variations and optimal control; optimization (49-XX)
292 Operations research, mathematical programming (90-XX)
154 Operator theory (47-XX)
79 Numerical analysis (65-XX)
78 Functional analysis (46-XX)
69 Ordinary differential equations (34-XX)
48 Real functions (26-XX)
47 General topology (54-XX)
39 Partial differential equations (35-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Convex and discrete geometry (52-XX)
33 Global analysis, analysis on manifolds (58-XX)
31 Systems theory; control (93-XX)
27 Measure and integration (28-XX)
24 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)
5 Computer science (68-XX)
5 Mechanics of deformable solids (74-XX)
5 Information and communication theory, circuits (94-XX)
3 Mathematical logic and foundations (03-XX)
3 Algebraic geometry (14-XX)
3 Statistics (62-XX)
2 Topological groups, Lie groups (22-XX)
2 Harmonic analysis on Euclidean spaces (42-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

483 Publications have been cited 4,077 times in 3,091 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
142
2012
A three-operator splitting scheme and its optimization applications. Zbl 1464.47041
Davis, Damek; Yin, Wotao
127
2017
Error bounds: necessary and sufficient conditions. Zbl 1192.49018
Fabian, Marian J.; Henrion, René; Kruger, Alexander Y.; Outrata, Jiří V.
85
2010
On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs. Zbl 1321.49031
Gfrerer, Helmut
74
2013
Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099
Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin
71
2015
Resolvents of set-valued monotone vector fields in Hadamard manifolds. Zbl 1239.47043
Li, Chong; López, Genaro; Martín-Márquez, Victoria; Wang, Jin-Hua
65
2011
Common solutions to variational inequalities. Zbl 1296.47060
Censor, Yair; Gibali, Aviv; Reich, Simeon; Sabach, Shoham
64
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.
43
2012
Dualization of signal recovery problems. Zbl 1229.90123
Combettes, Patrick L.; Dũng, Đinh; Vũ, Băng Công
41
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.
37
2009
Discrete approximations of a controlled sweeping process. Zbl 1312.49015
Colombo, G.; Henrion, R.; Hoang, N. D.; Mordukhovich, B. S.
34
2015
Restricted normal cones and the method of alternating projections: theory. Zbl 1272.49027
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
34
2013
A second-order model for image denoising. Zbl 1203.94006
Bergounioux, Maïtine; Piffet, Loic
32
2010
Error bounds and Hölder metric subregularity. Zbl 1330.49012
Kruger, Alexander Y.
30
2015
A shared-constraint approach to multi-leader multi-follower games. Zbl 1307.91046
Kulkarni, Ankur A.; Shanbhag, Uday V.
30
2014
Optimal control involving sweeping processes. Zbl 1419.49030
de Pinho, M. d. R.; Ferreira, M. M. A.; Smirnov, G. V.
29
2019
Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality. Zbl 1263.47066
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
29
2012
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.
29
2018
Robust duality in parametric convex optimization. Zbl 1327.90195
Boţ, R. I.; Jeyakumar, V.; Li, G. Y.
27
2013
Generalized control systems in the space of probability measures. Zbl 1400.93330
Cavagnari, Giulia; Marigonda, Antonio; Nguyen, Khai T.; Priuli, Fabio S.
27
2018
Deep neural network structures solving variational inequalities. Zbl 1448.49014
Combettes, Patrick L.; Pesquet, Jean-Christophe
26
2020
Forward-backward and Tseng’s type penalty schemes for monotone inclusion problems. Zbl 1308.47064
Boţ, Radu Ioan; Csetnek, Ernö Robert
26
2014
On global attractors of multivalued semiflows generated by the 3D Bénard system. Zbl 1259.35042
Kapustyan, Alexey V.; Pankov, Andrey V.; Valero, José
25
2012
Cutting plane oracles to minimize non-smooth non-convex functions. Zbl 1219.49013
Noll, Dominikus
25
2010
Solving ill-posed bilevel programs. Zbl 1362.90346
Zemkoho, Alain B.
24
2016
A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators. Zbl 1481.47082
Cevher, Volkan; Vũ, Bằng Công
24
2021
Calculus rules for derivatives of multimaps. Zbl 1173.54008
Li, S. J.; Meng, K. W.; Penot, J.-P.
24
2009
Codifferential calculus. Zbl 1262.47074
Li, Shengjie; Penot, Jean-Paul; Xue, Xiaowei
24
2011
An inertial algorithm for DC programming. Zbl 1434.90151
de Oliveira, Welington; Tcheou, Michel P.
24
2019
A class of generalized evolutionary problems driven by variational inequalities and fractional operators. Zbl 1441.47076
Migórski, Stanisław; Zeng, Shengda
23
2019
Calmness of the feasible set mapping for linear inequality systems. Zbl 1297.90163
Cánovas, M. J.; López, M. A.; Parra, J.; Toledo, F. J.
23
2014
A proximal point-type method for multicriteria optimization. Zbl 1296.90113
Bento, G. C.; Neto, J. X. Cruz; Soubeyran, A.
23
2014
A maximum principle for the controlled sweeping process. Zbl 1398.49015
Arroud, Chems Eddine; Colombo, Giovanni
23
2018
About subtransversality of collections of sets. Zbl 1383.49028
Kruger, Alexander Y.; Luke, D. Russell; Thao, Nguyen H.
23
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.
23
2018
First and second order convex sweeping processes in reflexive smooth Banach spaces. Zbl 1200.34067
Bounkhel, Messaoud; Al-Yusof, Rabab
22
2010
Perspective functions: properties, constructions, and examples. Zbl 1396.26021
Combettes, Patrick L.
22
2018
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.
22
2017
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
Restricted normal cones and the method of alternating projections: applications. Zbl 1349.65191
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
21
2013
Variational analysis of directional minimal time functions and applications to location problems. Zbl 1321.49028
Nam, Nguyen Mau; Zălinescu, Constantin
20
2013
Continuous Newton-like inertial dynamics for monotone inclusions. Zbl 1477.37101
Attouch, Hedy; László, Szilárd Csaba
19
2021
Calculus for directional limiting normal cones and subdifferentials. Zbl 1426.49018
Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V.
19
2019
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.
19
2017
On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs. Zbl 1297.49023
Gfrerer, Helmut
19
2014
Some results on strongly pseudomonotone quasi-variational inequalities. Zbl 1441.49013
Nguyen, Luong V.; Qin, Xiaolong
19
2020
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.
19
2018
(Sub-)differentiability of probability functions with elliptical distributions. Zbl 1416.90028
van Ackooij, W.; Aleksovska, I.; Munoz-Zuniga, M.
19
2018
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
On subregularity properties of set-valued mappings. Zbl 1285.90062
Apetrii, Marius; Durea, Marius; Strugariu, Radu
17
2013
On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions. Zbl 1365.65160
Bello Cruz, José Yunier
17
2017
Mixed semicontinuous perturbation of nonconvex state-dependent sweeping process. Zbl 1307.34033
Azzam-Laouir, Dalila; Izza, Sabrina; Thibault, Lionel
17
2014
Uniform continuity, uniform convergence, and shields. Zbl 1236.54012
Beer, Gerald; Levi, Sandro
17
2010
A review on ambiguity in stochastic portfolio optimization. Zbl 1416.90026
Pflug, Georg Ch.; Pohl, Mathias
17
2018
About intrinsic transversality of pairs of sets. Zbl 1387.49023
Kruger, Alexander Y.
17
2018
Nonsmooth bundle trust-region algorithm with applications to robust stability. Zbl 1334.49092
Apkarian, Pierre; Noll, Dominikus; Ravanbod, Laleh
16
2016
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
Evolution inclusions governed by time-dependent maximal monotone operators with a full domain. Zbl 1511.34072
Vilches, Emilio; Nguyen, Bao Tran
16
2020
Clarke generalized Jacobian of the projection onto symmetric cones. Zbl 1168.49043
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
16
2009
Nonlocal problems for differential inclusions in Hilbert spaces. Zbl 1312.34097
Benedetti, I.; Loi, N. V.; Malaguti, L.
16
2014
The limiting normal cone to pointwise defined sets in Lebesgue spaces. Zbl 1401.49018
Mehlitz, Patrick; Wachsmuth, Gerd
16
2018
Nonsmooth Lur’e dynamical systems in Hilbert spaces. Zbl 1333.37113
Adly, Samir; Hantoute, Abderrahim; Le, Ba Khiet
15
2016
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
On the theory of global attractors and Lyapunov functionals. Zbl 1260.37048
Coti Zelati, Michele
15
2013
Equilibrium problems: existence results and applications. Zbl 06861473
Cotrina, John; García, Yboon
15
2018
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
Flow invariance on stratified domains. Zbl 1327.93215
Barnard, Richard C.; Wolenski, Peter R.
14
2013
Subgradients of the value function to a parametric optimal control problem. Zbl 1214.47064
Toan, N. T.; Kien, B. T.
14
2010
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
The ABC of DC programming. Zbl 1467.90037
de Oliveira, Welington
14
2020
Stability of weakly Pareto-Nash equilibria and Pareto-Nash equilibria for multiobjective population games. Zbl 1366.91039
Yang, Guanghui; Yang, Hui
14
2017
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.
14
2011
On optimality conditions in control of elliptic variational inequalities. Zbl 1211.49036
Outrata, Jiří; Jarušek, Jiří; Stará, Jana
14
2011
Constraint qualifications for nonsmooth mathematical programs with equilibrium constraints. Zbl 1191.90070
Movahedian, N.; Nobakhtian, S.
13
2009
Infinite horizon optimal control problems in the light of convex analysis in Hilbert spaces. Zbl 1311.49084
Pickenhain, Sabine
13
2015
Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
13
2015
Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces. Zbl 1515.41019
Alimov, Alexey R.; Tsar’kov, Igor’ G.
13
2022
About asymptotic analysis and set optimization. Zbl 07115100
Hernández, Elvira; López, Rubén
13
2019
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.
13
2018
BV continuous solutions of an evolution inclusion with maximal monotone operator and nonconvex-valued perturbation. Existence theorem. Zbl 1482.34144
Tolstonogov, A. A.
13
2021
Connectedness of approximate efficient solutions for generalized semi-infinite vector optimization problems. Zbl 1430.90514
Peng, Zai-Yun; Wang, Xianfu; Yang, Xin-Min
13
2019
Mathematical programs with semidefinite cone complementarity constraints: constraint qualifications and optimality conditions. Zbl 1296.90118
Wu, Jia; Zhang, Liwei; Zhang, Yi
13
2014
Asymptotics for some proximal-like method involving inertia and memory aspects. Zbl 1214.65037
Cabot, Alexandre; Frankel, Pierre
13
2011
Solving stochastic programming problems with risk measures by progressive hedging. Zbl 1416.90027
Rockafellar, R. Tyrrell
13
2018
Necessary optimality conditions for optimal control problems with nonsmooth mixed state and control constraints. Zbl 1350.49027
Li, An; Ye, Jane J.
12
2016
New inertial factors of the Krasnosel’skiĭ-Mann iteration. Zbl 1544.47110
Dong, Yunda
12
2021
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.
12
2013
Infimum gaps for limit solutions. Zbl 1311.49087
Aronna, M.-Soledad; Motta, Monica; Rampazzo, Franco
12
2015
Equivalent conditions for local error bounds. Zbl 1254.49011
Meng, K. W.; Yang, X. Q.
12
2012
On a class of Lur’e dynamical systems with state-dependent set-valued feedback. Zbl 1451.37106
Le, Ba Khiet
12
2020
Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007
Rockafellar, R. Tyrrell
12
2019
Hölder error bounds and Hölder calmness with applications to convex semi-infinite optimization. Zbl 1430.49014
Kruger, Alexander Y.; López, Marco A.; Yang, Xiaoqi; Zhu, Jiangxing
12
2019
Stability and optimality of solutions to differential inclusions via averaging method. Zbl 1307.34001
Gama, Ricardo; Smirnov, Georgi
12
2014
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
12
2017
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
Conjugation-based approach to the \(\varepsilon\)-subdifferential of convex suprema. Zbl 07823289
Correa, Rafael; Hantoute, Abderrahim; López, Marco A.
1
2024
Inertial Krasnoselskii-Mann iterations. Zbl 07842716
Maulén, Juan José; Fierro, Ignacio; Peypouquet, Juan
1
2024
Generalized Nash equilibrium from a robustness perspective in variational analysis. Zbl 07903784
Rockafellar, R. Tyrrell
1
2024
Representative functions, variational convergence and almost convexity. Zbl 1544.47085
Eberhard, A.; Wenczel, R.
1
2024
On new generalized differentials with respect to a set and their applications. Zbl 07920020
Qin, Xiaolong; Thinh, Vo Duc; Yao, Jen-Chih
1
2024
The intrinsic core and minimal faces of convex sets in general vector spaces. Zbl 1517.46003
Millán, R. Díaz; Roshchina, Vera
4
2023
A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process. Zbl 1527.49021
Nour, Chadi; Zeidan, Vera
3
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
3
2023
On successive approximations for compact-valued nonexpansive mappings. Zbl 07719237
Medjic, Emir
2
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.
2
2023
Fast continuous dynamics inside the graph of maximally monotone operators. Zbl 07660559
Maingé, Paul-Emile; Weng-Law, André
2
2023
Solving monotone inclusions involving the sum of three maximally monotone operators and a cocoercive operator with applications. Zbl 1542.47100
Zong, Chunxiang; Tang, Yuchao; Zhang, Guofeng
1
2023
Conservative parametric optimality and the ridge method for tame min-max problems. Zbl 1518.49031
Pauwels, Edouard
1
2023
Resolvent and proximal compositions. Zbl 07719235
Combettes, Patrick L.
1
2023
Multi-dimensional path-dependent forward-backward stochastic variational inequalities. Zbl 1509.49008
Ning, Ning; Wu, Jing
1
2023
Dynamics of nonautomous impulsive multivalued processes. Zbl 1510.35063
Caraballo, Tomás; Uzal, José M.
1
2023
Necessary conditions in infinite-horizon control problems that need no asymptotic assumptions. Zbl 1509.49012
Khlopin, Dmitry
1
2023
Projectional coderivatives and calculus rules. Zbl 1528.49012
Yao, Wenfang; Meng, Kaiwen; Li, Minghua; Yang, Xiaoqi
1
2023
Nonlinear forward-backward splitting with momentum correction. Zbl 1538.90109
Morin, Martin; Banert, Sebastian; Giselsson, Pontus
1
2023
On diffeologies for power sets and measures. Zbl 1543.58018
Ahmadi, Alireza; Magnot, Jean-Pierre
1
2023
Optimality conditions for mathematical programs with orthogonality type constraints. Zbl 1518.90076
Lämmel, S.; Shikhman, V.
1
2023
The homogenization cone: polar cone and projection. Zbl 1522.90086
Bauschke, Heinz H.; Bendit, Theo; Wang, Hansen
1
2023
Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces. Zbl 1515.41019
Alimov, Alexey R.; Tsar’kov, Igor’ G.
13
2022
Convergence of constant step stochastic gradient descent for non-smooth non-convex functions. Zbl 1497.65099
Bianchi, Pascal; Hachem, Walid; Schechtman, Sholom
11
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
10
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
8
2022
A direct proof of convergence of Davis-Yin splitting algorithm allowing larger stepsizes. Zbl 07563237
Aragón-Artacho, Francisco J.; Torregrosa-Belén, David
6
2022
Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization. Zbl 1487.90610
Sarabi, M. Ebrahim
5
2022
Calmness and calculus: two basic patterns. Zbl 1484.49026
Benko, Matúš; Mehlitz, Patrick
5
2022
Circumcentering reflection methods for nonconvex feasibility problems. Zbl 1492.90134
Dizon, Neil D.; Hogan, Jeffrey A.; Lindstrom, Scott B.
5
2022
Topological approach to mathematical programs with switching constraints. Zbl 1489.90142
Shikhman, Vladimir
5
2022
Vector optimization with domination structures: variational principles and applications. Zbl 1494.90103
Bao, Truong Q.; Mordukhovich, Boris S.; Soubeyran, Antoine; Tammer, Christiane
5
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
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.
4
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
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
On nonconvex pseudomonotone equilibrium problems with applications. Zbl 1489.90137
Lara, F.
4
2022
Distance function associated to a prox-regular set. Zbl 1492.49020
Nacry, Florent; Thibault, Lionel
4
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
4
2022
The obstacle problem at zero for the fractional \(p\)-Laplacian. Zbl 07490854
Frassu, Silvia; Rocha, Eugénio M.; Staicu, Vasile
3
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.
3
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
Capra-convexity, convex factorization and variational formulations for the \(\ell_0\) pseudonorm. Zbl 1500.46056
Chancelier, Jean-Philippe; De Lara, Michel
3
2022
On ranges of non-linear operators. Zbl 1507.47110
Cibulka, Radek; Roubal, Tomáš
3
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
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
Characterizations of some transversality-type properties. Zbl 1497.49025
Apostolov, Stoyan; Bivas, Mira; Ribarska, Nadezhda
2
2022
Derivatives of probability functions: unions of polyhedra and elliptical distributions. Zbl 1489.90092
van Ackooij, Wim; Javal, Paul; Pérez-Aros, Pedro
2
2022
On the strong convergence of forward-backward splitting in reconstructing jointly sparse signals. Zbl 1495.94012
Dexter, Nick; Tran, Hoang; Webster, Clayton G.
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
On subdifferentials via a generalized conjugation scheme: an application to DC problems and optimality conditions. Zbl 1515.90105
Fajardo, M. D.; Vidal, J.
2
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.
2
2022
Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations. Zbl 1485.35271
Dinh, Tuan Nguyen
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
On the nonemptiness and boundedness of solution sets of weakly homogeneous optimization problems. Zbl 1492.90171
Hieu, Vu Trung
1
2022
Superdifferential analysis of the Takagi-van der Waerden functions. Zbl 1506.26002
Ferrera, Juan; Gil, Javier Gómez; Llorente, Jesús
1
2022
The projection onto the cross. Zbl 1500.90051
Bauschke, Heinz H.; Lal, Manish Krishan; Wang, Xianfu
1
2022
Second-order optimality conditions for mathematical program with semidefinite cone complementarity constraints and applications. Zbl 1489.90198
Liu, Yulan; Pan, Shaohua
1
2022
On necessary optimality conditions with higher-order complementarity slackness for set-valued optimization problems. Zbl 1489.90168
Bao, Nguyen Xuan Duy; Khanh, Phan Quoc; Tung, Nguyen Minh
1
2022
Minimizing curves in prox-regular subsets of Riemannian manifolds. Zbl 1492.58006
Pouryayevali, Mohamad R.; Radmanesh, Hajar
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
A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators. Zbl 1481.47082
Cevher, Volkan; Vũ, Bằng Công
24
2021
Continuous Newton-like inertial dynamics for monotone inclusions. Zbl 1477.37101
Attouch, Hedy; László, Szilárd Csaba
19
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
BV continuous solutions of an evolution inclusion with maximal monotone operator and nonconvex-valued perturbation. Existence theorem. Zbl 1482.34144
Tolstonogov, A. A.
13
2021
New inertial factors of the Krasnosel’skiĭ-Mann iteration. Zbl 1544.47110
Dong, Yunda
12
2021
Measure differential inclusions: existence results and minimum problems. Zbl 1479.34008
Di Piazza, Luisa; Marraffa, Valeria; Satco, Bianca
11
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.
11
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
10
2021
Bregman forward-backward operator splitting. Zbl 1487.47097
Bùi, Minh N.; Combettes, Patrick L.
10
2021
Transversality properties: primal sufficient conditions. Zbl 1470.49029
Cuong, Nguyen Duy; Kruger, Alexander Y.
6
2021
No infimum gap and normality in optimal impulsive control under state constraints. Zbl 1470.49064
Fusco, Giovanni; Motta, Monica
6
2021
The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124
Balashov, Maxim V.
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
On the quantitative solution stability of parameterized set-valued inclusions. Zbl 1470.49035
Uderzo, A.
4
2021
Differential stability properties in convex scalar and vector optimization. Zbl 1481.49019
An, D. T. V.; Gutiérrez, C.
4
2021
A constant rank constraint qualification in continuous-time nonlinear programming. Zbl 1527.90215
Cirilo do Monte, Moisés Rodrigues; de Oliveira, Valeriano Antunes
4
2021
Regularization of Brézis pseudomonotone variational inequalities. Zbl 1462.49033
Bianchi, M.; Kassay, G.; Pini, R.
3
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.
3
2021
On the FPV property, monotone operator structure and the monotone polar of representable monotone sets. Zbl 1495.47078
Eberhard, A.; Wenczel, R.
2
2021
Nonsmooth feedback control for multi-agent dynamics. Zbl 1476.34137
Bivas, Mira; Quincampoix, Marc
2
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
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
Cone-constrained eigenvalue problems: structure of cone spectra. Zbl 1471.15029
Seeger, Alberto
2
2021
MPCC: strong stability of \(m\)-stationary points. Zbl 1479.90200
Günzel, Harald; Hernández Escobar, Daniel; Rückmann, Jan-J.
2
2021
Enlargements of the Moreau-Rockafellar subdifferential. Zbl 1479.90195
Abbasi, Malek; Kruger, Alexander Y.; Théra, Michel
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
State-constrained control-affine parabolic problems. I. First and second order necessary optimality conditions. Zbl 1470.49007
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
1
2021
Algebraic approach to duality in optimization and applications. Zbl 1479.90217
Luc, Dinh The; Volle, Michel
1
2021
On existence of solutions of parametrized generalized equations. Zbl 1471.49015
Dontchev, Asen L.
1
2021
Constrained Lipschitzian error bounds and noncritical solutions of constrained equations. Zbl 1475.90110
Fischer, A.; Izmailov, A. F.; Jelitte, M.
1
2021
...and 383 more Documents
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Cited by 3,061 Authors

43 Yao, Jen-Chih
41 Mordukhovich, Boris S.
37 Boţ, Radu Ioan
34 Kruger, Alexander Y.
33 Papageorgiou, Nikolaos S.
32 Zaslavski, Alexander Yakovlevich
29 Reich, Simeon
27 Mehlitz, Patrick
26 Bauschke, Heinz H.
26 Soubeyran, Antoine
26 Wang, Shawn Xianfu
25 López-Cerdá, Marco Antonio
24 Csetnek, Ernö Robert
24 Hantoute, Abderrahim
24 Pérez-Aros, Pedro
24 Ye, Jane J.
23 Combettes, Patrick L.
23 Van Ackooij, Wim
22 Adly, Samir
22 Wachsmuth, Gerd
20 Durea, Marius
20 Gfrerer, Helmut
19 Kasyanov, Pavlo O.
19 Théra, Michel A.
19 Thibault, Lionel
17 Attouch, Hedy
17 Cánovas, María Josefa
17 Kumam, Poom
17 Parra, Juan
17 Thai Doan Chuong
17 Zeng, Shengda
17 Zhang, Jin
17 Zhang, Liwei
16 Arutyunov, Aram Vladimirovic
16 Dang Van Hieu
16 Dinh, Nguyen
16 Goberna, Miguel Angel
16 Henrion, René
16 Seeger, Alberto
15 Azzam-Laouir, Dalila
15 Briceño-Arias, Luis M.
15 Correa, Rafael Augusto Couceiro
15 Gasiński, Leszek
15 Huynh Van Ngai
15 Izuchukwu, Chinedu
15 Li, Shengjie
15 Strugariu, Radu
15 Tang, Yuchao
15 Valero, José
14 Kapustyan, Oleksiy V.
14 Liu, Zhenhai
14 Mahmudov, Elimhan Nadir
14 Nguyen Thi Toan
14 Nobakhtian, Soghra
14 Noll, Dominikus
14 Tsar’kov, Igor’ Germanovich
14 Volle, Michel
14 Yang, Xiaoqi
14 Zidani, Hasnaa
13 Anh, Nguyen Le Hoang
13 Aragón Artacho, Francisco Javier
13 Castaing, Charles
13 Christof, Constantin
13 Jolaoso, Lateef Olakunle O.
13 Li, Minghua
13 Martínez-Legaz, Juan-Enrique
13 Nam, Nguyen Mau
13 Saïdi, Soumia
13 Sun, Xiangkai
13 Tam, Matthew K.
13 Vũ, Bằng Công
13 Yao, Liangjin
12 Alimov, Alexey R.
12 Beer, Gerald Alan
12 Borwein, Jonathan Michael
12 Bounkhel, Messaoud
12 da Cruz Neto, João Xavier
12 de Oliveira, Welington Luis
12 Izmailov, Alekseĭ F.
12 Lin, Guihua
12 Mewomo, Oluwatosin Temitope
12 Motta, Monica
12 Outrata, Jiří V.
12 Phan, Hung M.
12 Royset, Johannes O.
12 Shehu, Yekini
12 Vilches, Emilio
12 Wen, Chingfeng
12 Zhang, Jie
11 Ansari, Qamrul Hasan
11 Burachik, Regina Sandra
11 Cibulka, Radek
11 Fadili, Jalal M.
11 Gorban, Nataliia V.
11 Hu, Yijun
11 Iusem, Alfredo Noel
11 Le, Ba Khiet
11 Marigonda, Antonio
11 Penot, Jean-Paul
11 Pesquet, Jean-Christophe
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Cited in 385 Journals

241 Journal of Optimization Theory and Applications
223 Set-Valued and Variational Analysis
193 Optimization
132 SIAM Journal on Optimization
101 Mathematical Programming. Series A. Series B
90 Journal of Mathematical Analysis and Applications
82 Optimization Letters
80 Journal of Global Optimization
80 Computational Optimization and Applications
65 Journal of Convex Analysis
51 SIAM Journal on Control and Optimization
47 Positivity
45 Applied Mathematics and Optimization
39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
39 Numerical Functional Analysis and Optimization
34 Journal of Inequalities and Applications
33 Applicable Analysis
33 Vietnam Journal of Mathematics
32 Journal of Nonlinear and Variational Analysis
31 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
30 Annals of Operations Research
29 Journal of Differential Equations
28 Optimization Methods & Software
28 Journal of Industrial and Management Optimization
25 Journal of Fixed Point Theory and Applications
24 Numerical Algorithms
24 Computational and Applied Mathematics
21 SIAM Journal on Imaging Sciences
17 Mathematics of Operations Research
17 Results in Mathematics
16 Discrete and Continuous Dynamical Systems. Series B
16 Mediterranean Journal of Mathematics
15 European Journal of Operational Research
15 Fixed Point Theory and Applications
14 Topology and its Applications
14 Operations Research Letters
14 Journal of Scientific Computing
14 Calculus of Variations and Partial Differential Equations
13 Mathematical Methods in the Applied Sciences
13 Applied Mathematics and Computation
13 Journal of Mathematical Imaging and Vision
13 Discrete and Continuous Dynamical Systems. Series S
12 Journal of Mathematical Sciences (New York)
12 Mathematical Problems in Engineering
11 Inverse Problems
11 Journal of Computational and Applied Mathematics
11 Topological Methods in Nonlinear Analysis
11 Filomat
11 Communications in Nonlinear Science and Numerical Simulation
10 Proceedings of the American Mathematical Society
10 Discrete and Continuous Dynamical Systems
10 Abstract and Applied Analysis
10 Optimization and Engineering
10 Nonlinear Analysis. Real World Applications
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Evolution Equations and Control Theory
9 Rendiconti del Circolo Matemàtico di Palermo. Serie II
9 Asia-Pacific Journal of Operational Research
9 Mathematical Methods of Operations Research
9 Journal of the Operations Research Society of China
9 Journal of Function Spaces
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Numerical Algebra, Control and Optimization
8 Mathematical Control and Related Fields
7 SIAM Journal on Scientific Computing
7 Top
7 Journal of the Australian Mathematical Society
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Thai Journal of Mathematics
7 Advances in Difference Equations
7 Boundary Value Problems
7 Journal of Nonlinear Science and Applications
7 Minimax Theory and its Applications
6 Automatica
6 Journal of Functional Analysis
6 Numerische Mathematik
6 Linear Algebra and its Applications
6 SIAM Journal on Mathematical Analysis
6 Applied and Computational Harmonic Analysis
6 Communications in Contemporary Mathematics
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Computational Management Science
6 SIAM Journal on Mathematics of Data Science
6 OJMO. Open Journal of Mathematical Optimization
6 Fixed Point Theory and Algorithms for Sciences and Engineering
5 International Journal of Control
5 Acta Mathematica Vietnamica
5 Journal of Mathematical Economics
5 SIAM Journal on Numerical Analysis
5 Optimal Control Applications & Methods
5 Advances in Computational Mathematics
5 Taiwanese Journal of Mathematics
5 Differential Equations
5 Journal of Evolution Equations
5 Foundations of Computational Mathematics
5 Communications on Pure and Applied Analysis
5 Proceedings of the Steklov Institute of Mathematics
4 Mathematical Notes
4 Beiträge zur Algebra und Geometrie
4 Annali di Matematica Pura ed Applicata. Serie Quarta
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Cited in 56 Fields

1,548 Operations research, mathematical programming (90-XX)
1,333 Calculus of variations and optimal control; optimization (49-XX)
738 Operator theory (47-XX)
576 Numerical analysis (65-XX)
275 Partial differential equations (35-XX)
254 Ordinary differential equations (34-XX)
205 Functional analysis (46-XX)
205 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
195 General topology (54-XX)
144 Real functions (26-XX)
126 Global analysis, analysis on manifolds (58-XX)
126 Systems theory; control (93-XX)
106 Dynamical systems and ergodic theory (37-XX)
97 Computer science (68-XX)
81 Convex and discrete geometry (52-XX)
79 Information and communication theory, circuits (94-XX)
71 Measure and integration (28-XX)
46 Statistics (62-XX)
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