×

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: 580 Publications (since 2009)
References Indexed: 562 Publications with 16,686 References.
all top 5

Authors

14 Mordukhovich, Boris S.
12 Bauschke, Heinz H.
12 López-Cerdá, Marco Antonio
11 Outrata, Jiří V.
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 Ye, Jane J.
7 Adly, Samir
7 Combettes, Patrick L.
7 Hantoute, Abderrahim
7 Thibault, Lionel
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
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 Ivanov, Grigorii E.
4 Li, Shengjie
4 Luke, David Russell
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 Yang, Xiaoqi
4 Yao, Liangjin
3 Attouch, Hedy
3 Azzam-Laouir, Dalila
3 Burke, James V.
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 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 Meng, Kaiwen
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
3 Royset, Johannes O.
3 Sagara, Nobusumi
...and 623 more Authors
all top 5

Fields

334 Calculus of variations and optimal control; optimization (49-XX)
272 Operations research, mathematical programming (90-XX)
141 Operator theory (47-XX)
72 Functional analysis (46-XX)
72 Numerical analysis (65-XX)
64 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)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
31 Global analysis, analysis on manifolds (58-XX)
27 Systems theory; control (93-XX)
25 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)
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)
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 Statistics (62-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

444 Publications have been cited 3,321 times in 2,538 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
123
2012
A three-operator splitting scheme and its optimization applications. Zbl 1464.47041
Davis, Damek; Yin, Wotao
94
2017
Error bounds: necessary and sufficient conditions. Zbl 1192.49018
Fabian, Marian J.; Henrion, René; Kruger, Alexander Y.; Outrata, Jiří V.
79
2010
On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs. Zbl 1321.49031
Gfrerer, Helmut
65
2013
Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099
Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin
61
2015
Common solutions to variational inequalities. Zbl 1296.47060
Censor, Yair; Gibali, Aviv; Reich, Simeon; Sabach, Shoham
54
2012
Resolvents of set-valued monotone vector fields in Hadamard manifolds. Zbl 1239.47043
Li, Chong; López, Genaro; Martín-Márquez, Victoria; Wang, Jin-Hua
51
2011
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.
40
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.
32
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
31
2013
Error bounds and Hölder metric subregularity. Zbl 1330.49012
Kruger, Alexander Y.
28
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.
27
2015
A second-order model for image denoising. Zbl 1203.94006
Bergounioux, Maïtine; Piffet, Loic
27
2010
A shared-constraint approach to multi-leader multi-follower games. Zbl 1307.91046
Kulkarni, Ankur A.; Shanbhag, Uday V.
26
2014
Robust duality in parametric convex optimization. Zbl 1327.90195
Boţ, R. I.; Jeyakumar, V.; Li, G. Y.
26
2013
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
23
2012
Generalized control systems in the space of probability measures. Zbl 1400.93330
Cavagnari, Giulia; Marigonda, Antonio; Nguyen, Khai T.; Priuli, Fabio S.
23
2018
Calculus rules for derivatives of multimaps. Zbl 1173.54008
Li, S. J.; Meng, K. W.; Penot, J.-P.
22
2009
First and second order convex sweeping processes in reflexive smooth Banach spaces. Zbl 1200.34067
Bounkhel, Messaoud; Al-Yusof, Rabab
22
2010
Optimal control involving sweeping processes. Zbl 1419.49030
de Pinho, M. d. R.; Ferreira, M. M. A.; Smirnov, G. V.
22
2019
Deep neural network structures solving variational inequalities. Zbl 1448.49014
Combettes, Patrick L.; Pesquet, Jean-Christophe
22
2020
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
Codifferential calculus. Zbl 1262.47074
Li, Shengjie; Penot, Jean-Paul; Xue, Xiaowei
21
2011
A maximum principle for the controlled sweeping process. Zbl 1398.49015
Arroud, Chems Eddine; Colombo, Giovanni
21
2018
Cutting plane oracles to minimize non-smooth non-convex functions. Zbl 1219.49013
Noll, Dominikus
21
2010
Variational analysis of directional minimal time functions and applications to location problems. Zbl 1321.49028
Nam, Nguyen Mau; Zălinescu, Constantin
20
2013
About subtransversality of collections of sets. Zbl 1383.49028
Kruger, Alexander Y.; Luke, D. Russell; Thao, Nguyen H.
20
2017
Calmness of the feasible set mapping for linear inequality systems. Zbl 1297.90163
Cánovas, M. J.; López, M. A.; Parra, J.; Toledo, F. J.
20
2014
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.
20
2018
On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs. Zbl 1297.49023
Gfrerer, Helmut
19
2014
Solving ill-posed bilevel programs. Zbl 1362.90346
Zemkoho, Alain B.
19
2016
Restricted normal cones and the method of alternating projections: applications. Zbl 1349.65191
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
19
2013
A class of generalized evolutionary problems driven by variational inequalities and fractional operators. Zbl 1441.47076
Migórski, Stanisław; Zeng, Shengda
19
2019
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.
18
2015
A proximal point-type method for multicriteria optimization. Zbl 1296.90113
Bento, G. C.; Neto, J. X. Cruz; Soubeyran, A.
18
2014
Perturbed evolution problems with continuous bounded variation in time and applications. Zbl 1403.34046
Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, M. D. P.
17
2018
On subregularity properties of set-valued mappings. Zbl 1285.90062
Apetrii, Marius; Durea, Marius; Strugariu, Radu
17
2013
Inradius and circumradius of various convex cones arising in applications. Zbl 1217.46047
Henrion, René; Seeger, Alberto
17
2010
Local search proximal algorithms as decision dynamics with costs to move. Zbl 1209.49042
Attouch, H.; Soubeyran, A.
17
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
(Sub-)differentiability of probability functions with elliptical distributions. Zbl 1416.90028
van Ackooij, W.; Aleksovska, I.; Munoz-Zuniga, M.
16
2018
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.
16
2017
An inertial algorithm for DC programming. Zbl 1434.90151
de Oliveira, Welington; Tcheou, Michel P.
16
2019
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
Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints. Zbl 1261.90058
Zhang, Yi; Zhang, Liwei; Wu, Jia
15
2011
The limiting normal cone to pointwise defined sets in Lebesgue spaces. Zbl 1401.49018
Mehlitz, Patrick; Wachsmuth, Gerd
15
2018
On properties of different notions of centers for convex cones. Zbl 1198.46011
Henrion, René; Seeger, Alberto
15
2010
Uniform continuity, uniform convergence, and shields. Zbl 1236.54012
Beer, Gerald; Levi, Sandro
15
2010
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.
15
2018
Nonlocal problems for differential inclusions in Hilbert spaces. Zbl 1312.34097
Benedetti, I.; Loi, N. V.; Malaguti, L.
15
2014
Mixed semicontinuous perturbation of nonconvex state-dependent sweeping process. Zbl 1307.34033
Azzam-Laouir, Dalila; Izza, Sabrina; Thibault, Lionel
14
2014
Three solutions for a partial differential inclusion via nonsmooth critical point theory. Zbl 1219.35381
Iannizzotto, Antonio
14
2011
On optimality conditions in control of elliptic variational inequalities. Zbl 1211.49036
Outrata, Jiří; Jarušek, Jiří; Stará, Jana
14
2011
Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027
Burke, James V.; Hoheisel, Tim; Kanzow, Christian
13
2013
Equilibrium problems: existence results and applications. Zbl 06861473
Cotrina, John; García, Yboon
13
2018
Perspective functions: properties, constructions, and examples. Zbl 1396.26021
Combettes, Patrick L.
13
2018
Subgradients of the value function to a parametric optimal control problem. Zbl 1214.47064
Toan, N. T.; Kien, B. T.
13
2010
On the theory of global attractors and Lyapunov functionals. Zbl 1260.37048
Coti Zelati, Michele
13
2013
A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators. Zbl 1481.47082
Cevher, Volkan; Vũ, Bằng Công
13
2021
On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions. Zbl 1365.65160
Bello Cruz, José Yunier
13
2017
Asymptotics for some proximal-like method involving inertia and memory aspects. Zbl 1214.65037
Cabot, Alexandre; Frankel, Pierre
13
2011
Calculus for directional limiting normal cones and subdifferentials. Zbl 1426.49018
Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V.
13
2019
Mathematical programs with semidefinite cone complementarity constraints: constraint qualifications and optimality conditions. Zbl 1296.90118
Wu, Jia; Zhang, Liwei; Zhang, Yi
12
2014
Flow invariance on stratified domains. Zbl 1327.93215
Barnard, Richard C.; Wolenski, Peter R.
12
2013
Equivalent conditions for local error bounds. Zbl 1254.49011
Meng, K. W.; Yang, X. Q.
12
2012
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.
12
2017
Infimum gaps for limit solutions. Zbl 1311.49087
Aronna, M.-Soledad; Motta, Monica; Rampazzo, Franco
12
2015
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
Some results on strongly pseudomonotone quasi-variational inequalities. Zbl 1441.49013
Nguyen, Luong V.; Qin, Xiaolong
12
2020
Nonsmooth Lur’e dynamical systems in Hilbert spaces. Zbl 1333.37113
Adly, Samir; Hantoute, Abderrahim; Le, Ba Khiet
11
2016
Necessary optimality conditions for mathematical programs with second-order cone complementarity constraints. Zbl 1297.90152
Liang, Yan-Chao; Zhu, Xi-De; Lin, Gui-Hua
11
2014
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
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
Infinite horizon optimal control problems in the light of convex analysis in Hilbert spaces. Zbl 1311.49084
Pickenhain, Sabine
11
2015
Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
11
2015
Constraint qualifications for nonsmooth mathematical programs with equilibrium constraints. Zbl 1191.90070
Movahedian, N.; Nobakhtian, S.
11
2009
Metric regularity of mappings and generalized normals to set images. Zbl 1218.49023
Mordukhovich, Boris S.; Nam, Nguyen Mau; Wang, Bingwu
11
2009
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
A review on ambiguity in stochastic portfolio optimization. Zbl 1416.90026
Pflug, Georg Ch.; Pohl, Mathias
11
2018
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
Necessary optimality conditions for optimal control problems with nonsmooth mixed state and control constraints. Zbl 1350.49027
Li, An; Ye, Jane J.
10
2016
Finite convergence of the proximal point algorithm for variational inequality problems. Zbl 1321.49016
Matsushita, Shin-Ya; Xu, Li
10
2013
A characterization of the subdifferential of singular Gaussian distribution functions. Zbl 1327.90159
van Ackooij, Wim; Minoux, M.
10
2015
A generalized inexact proximal point method for nonsmooth functions that satisfies Kurdyka Łojasiewicz inequality. Zbl 1342.49019
Bento, Glaydston C.; Soubeyran, Antoine
10
2015
State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces. Zbl 1262.34072
Bounkhel, Messaoud; Castaing, Charles
10
2012
Global solutions for nonlinear delay evolution inclusions with nonlocal initial conditions. Zbl 1266.34127
Vrabie, Ioan I.
10
2012
Pareto solutions of polyhedral-valued vector optimization problems in Banach spaces. Zbl 1177.49033
Zheng, Xi Yin
10
2009
On some regularity properties in variational analysis. Zbl 1177.49032
Uderzo, Amos
10
2009
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
Stability and optimality of solutions to differential inclusions via averaging method. Zbl 1307.34001
Gama, Ricardo; Smirnov, Georgi
10
2014
Linear monotone subspaces of locally convex spaces. Zbl 1192.47047
Voisei, M. D.; Zălinescu, C.
10
2010
Negatively invariant sets and entire trajectories of set-valued dynamical systems. Zbl 1225.37022
Kloeden, Peter E.; Marín-Rubio, Pedro
10
2011
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.
10
2011
Sequential constant rank constraint qualifications for nonlinear semidefinite programming with algorithmic applications. Zbl 07676062
Andreani, Roberto; Haeser, Gabriel; Mito, Leonardo M.; Ramírez, Héctor
2
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 07695126
Fukuda, Ellen H.; Haeser, Gabriel; Mito, Leonardo M.
1
2023
Conservative parametric optimality and the ridge method for tame min-max problems. Zbl 1518.49031
Pauwels, Edouard
1
2023
Convergence of constant step stochastic gradient descent for non-smooth non-convex functions. Zbl 1497.65099
Bianchi, Pascal; Hachem, Walid; Schechtman, Sholom
5
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
4
2022
Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces. Zbl 1515.41019
Alimov, Alexey R.; Tsar’kov, Igor’ G.
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
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
Conservative and semismooth derivatives are equivalent for semialgebraic maps. Zbl 1487.49014
Davis, Damek; Drusvyatskiy, Dmitriy
3
2022
Vector optimization with domination structures: variational principles and applications. Zbl 1494.90103
Bao, Truong Q.; Mordukhovich, Boris S.; Soubeyran, Antoine; Tammer, Christiane
3
2022
The obstacle problem at zero for the fractional \(p\)-Laplacian. Zbl 07490854
Frassu, Silvia; Rocha, Eugénio M.; Staicu, Vasile
2
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.
2
2022
Estimates of generalized hessians for optimal value functions in mathematical programming. Zbl 1492.90181
Zemkoho, Alain B.
2
2022
A direct proof of convergence of Davis-Yin splitting algorithm allowing larger stepsizes. Zbl 07563237
Aragón-Artacho, Francisco J.; Torregrosa-Belén, David
2
2022
Characterizations of some transversality-type properties. Zbl 1497.49025
Apostolov, Stoyan; Bivas, Mira; Ribarska, Nadezhda
2
2022
Nonconvex and nonsmooth approaches for affine chance-constrained stochastic programs. Zbl 1492.90100
Cui, Ying; Liu, Junyi; Pang, Jong-Shi
2
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
2
2022
Distance function associated to a prox-regular set. Zbl 1492.49020
Nacry, Florent; Thibault, Lionel
2
2022
On ranges of non-linear operators. Zbl 1507.47110
Cibulka, Radek; Roubal, Tomáš
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
Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization. Zbl 1487.90610
Sarabi, M. Ebrahim
1
2022
Calmness and calculus: two basic patterns. Zbl 1484.49026
Benko, Matúš; Mehlitz, Patrick
1
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
1
2022
Superdifferential analysis of the Takagi-van der Waerden functions. Zbl 1506.26002
Ferrera, Juan; Gil, Javier Gómez; Llorente, Jesús
1
2022
Optimal control and directional differentiability for elliptic quasi-variational inequalities. Zbl 07563231
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
1
2022
An algorithm for best generalised rational approximation of continuous functions. Zbl 1492.90123
Díaz Millán, R.; Sukhorukova, Nadezda; Ugon, Julien
1
2022
Circumcentering reflection methods for nonconvex feasibility problems. Zbl 1492.90134
Dizon, Neil D.; Hogan, Jeffrey A.; Lindstrom, Scott B.
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
Topological approach to mathematical programs with switching constraints. Zbl 1489.90142
Shikhman, Vladimir
1
2022
On nonconvex pseudomonotone equilibrium problems with applications. Zbl 1489.90137
Lara, F.
1
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.
1
2022
First-order frameworks for continuous Newton-like dynamics governed by maximally monotone operators. Zbl 1498.37139
Labarre, Florian; Maingé, Paul-Emile
1
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
About error bounds in metrizable topological vector spaces. Zbl 1514.46052
Abbasi, Malek; Théra, Michel
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
A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators. Zbl 1481.47082
Cevher, Volkan; Vũ, Bằng Công
13
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
10
2021
Continuous Newton-like inertial dynamics for monotone inclusions. Zbl 1477.37101
Attouch, Hedy; László, Szilárd Csaba
8
2021
BV continuous solutions of an evolution inclusion with maximal monotone operator and nonconvex-valued perturbation. Existence theorem. Zbl 1482.34144
Tolstonogov, A. A.
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.
6
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
Measure differential inclusions: existence results and minimum problems. Zbl 1479.34008
Di Piazza, Luisa; Marraffa, Valeria; Satco, Bianca
5
2021
No infimum gap and normality in optimal impulsive control under state constraints. Zbl 1470.49064
Fusco, Giovanni; Motta, Monica
5
2021
Bregman forward-backward operator splitting. Zbl 1487.47097
Bùi, Minh N.; Combettes, Patrick L.
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.
3
2021
On the quantitative solution stability of parameterized set-valued inclusions. Zbl 1470.49035
Uderzo, A.
3
2021
Generalized sequential differential calculus for expected-integral functionals. Zbl 1472.49036
Mordukhovich, Boris S.; Pérez-Aros, Pedro
3
2021
A constant rank constraint qualification in continuous-time nonlinear programming. Zbl 07345310
Cirilo do Monte, Moisés Rodrigues; de Oliveira, Valeriano Antunes
3
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
Regularization of Brézis pseudomonotone variational inequalities. Zbl 1462.49033
Bianchi, M.; Kassay, G.; Pini, R.
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.
1
2021
Nonsmooth feedback control for multi-agent dynamics. Zbl 1476.34137
Bivas, Mira; Quincampoix, Marc
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
Categorizing with catastrophic radii in numerical minimization. Zbl 1472.65071
Levy, Adam B.
1
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
1
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.
1
2021
Deep neural network structures solving variational inequalities. Zbl 1448.49014
Combettes, Patrick L.; Pesquet, Jean-Christophe
22
2020
Some results on strongly pseudomonotone quasi-variational inequalities. Zbl 1441.49013
Nguyen, Luong V.; Qin, Xiaolong
12
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
7
2020
New sharp necessary optimality conditions for mathematical programs with equilibrium constraints. Zbl 1491.90161
Gfrerer, Helmut; Ye, Jane J.
6
2020
Duality for the robust sum of functions. Zbl 1476.90346
Dinh, N.; Goberna, M. A.; Volle, Michel
6
2020
Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems. Zbl 1491.90167
Dolgopolik, M. V.
6
2020
The radius of metric subregularity. Zbl 1447.49030
Dontchev, Asen L.; Gfrerer, Helmut; Kruger, Alexander Y.; Outrata, Jiří V.
6
2020
Evolution inclusions governed by time-dependent maximal monotone operators with a full domain. Zbl 1511.34072
Vilches, Emilio; Nguyen, Bao Tran
6
2020
On the stability of the directional regularity. Zbl 1442.47036
Cibulka, Radek; Durea, Marius; Panţiruc, Marian; Strugariu, Radu
5
2020
The ABC of DC programming. Zbl 1467.90037
de Oliveira, Welington
5
2020
A projection algorithm for non-monotone variational inequalities. Zbl 1434.90201
Burachik, Regina S.; Díaz Millán, R.
5
2020
Stability analysis for parameterized variational systems with implicit constraints. Zbl 1437.49017
Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V.
5
2020
A discussion of probability functions and constraints from a variational perspective. Zbl 1467.90028
van Ackooij, Wim
4
2020
Continuous dynamics related to monotone inclusions and non-smooth optimization problems. Zbl 1471.34123
Csetnek, Ernö Robert
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
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.
3
2020
Immobile indices and CQ-free optimality criteria for linear copositive programming problems. Zbl 1442.90145
Kostyukova, O. I.; Tchemisova, T. V.; Dudina, O. S.
3
2020
Finite alternation theorems and a constructive approach to piecewise polynomial approximation in Chebyshev norm. Zbl 1444.41004
Crouzeix, Jean-Pierre; Sukhorukova, Nadezda; Ugon, Julien
3
2020
An inverse mapping theorem in Fréchet-Montel spaces. Zbl 1446.49014
Cibulka, Radek; Fabian, Marián; Roubal, Tomáš
3
2020
Nonsmoothness in machine learning: specific structure, proximal identification, and applications. Zbl 1506.90272
Iutzeler, Franck; Malick, Jérôme
2
2020
Set-convergence and its application: a tutorial. Zbl 1464.49008
Royset, Johannes O.
2
2020
Directional metric pseudo subregularity of set-valued mappings: a general model. Zbl 1439.49028
Van Ngai, Huynh; Tron, Nguyen Huu; Van Vu, Nguyen; Théra, Michel
2
2020
Bartle-Graves theorem revisited. Zbl 1444.47068
Dontchev, Asen L.
2
2020
Epi/hypo-convergence of bifunctions on general domains and approximations of quasi-variational problems. Zbl 1450.90052
Diem, H. T. H.; Khanh, P. Q.
2
2020
Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators. Zbl 1443.37015
Adly, Samir; Hantoute, Abderrahim; Nguyen, Bao Tran
1
2020
The \(\mathcal{U}\)-Lagrangian, fast track, and partial smoothness of a prox-regular function. Zbl 1441.49020
Liu, Shuai; Eberhard, Andrew; Luo, Yousong
1
2020
A discussion on variational analysis in derivative-free optimization. Zbl 1473.49019
Hare, Warren
1
2020
On linear transformations of intersections. Zbl 1460.52005
Kushnir, Alexey; Liu, Shuo
1
2020
Set-valued means. Zbl 1467.26019
Nikodem, Kazimierz
1
2020
Optimal control involving sweeping processes. Zbl 1419.49030
de Pinho, M. d. R.; Ferreira, M. M. A.; Smirnov, G. V.
22
2019
A class of generalized evolutionary problems driven by variational inequalities and fractional operators. Zbl 1441.47076
Migórski, Stanisław; Zeng, Shengda
19
2019
...and 344 more Documents
all top 5

Cited by 2,570 Authors

35 Boţ, Radu Ioan
35 Mordukhovich, Boris S.
34 Yao, Jen-Chih
30 Kruger, Alexander Y.
30 Papageorgiou, Nikolaos S.
26 Zaslavski, Alexander Yakovlevich
25 Bauschke, Heinz H.
25 Soubeyran, Antoine
25 Wang, Shawn Xianfu
22 Csetnek, Ernö Robert
22 Ye, Jane J.
21 Mehlitz, Patrick
21 Pérez-Aros, Pedro
21 Reich, Simeon
20 Adly, Samir
20 Combettes, Patrick L.
20 Hantoute, Abderrahim
20 López-Cerdá, Marco Antonio
19 Durea, Marius
19 Kasyanov, Pavlo O.
19 Wachsmuth, Gerd
18 Gfrerer, Helmut
18 Van Ackooij, Wim
17 Théra, Michel A.
17 Thibault, Lionel
17 Zhang, Liwei
16 Arutyunov, Aram Vladimirovic
16 Noll, Dominikus
16 Seeger, Alberto
16 Thai Doan Chuong
16 Zeng, Shengda
15 Cánovas, María Josefa
15 Dang Van Hieu
15 Gasiński, Leszek
15 Henrion, René
15 Parra, Juan
15 Strugariu, Radu
15 Zhang, Jin
14 Goberna, Miguel Angel
14 Huynh Van Ngai
14 Li, Shengjie
14 Valero, José
13 Anh, Nguyen Le Hoang
13 Attouch, Hedy
13 Azzam-Laouir, Dalila
13 Kapustyan, Oleksiy V.
13 Tang, Yuchao
13 Volle, Michel
13 Vũ, Bằng Công
13 Yao, Liangjin
12 Borwein, Jonathan Michael
12 Bounkhel, Messaoud
12 Castaing, Charles
12 Christof, Constantin
12 Correa, Rafael Augusto Couceiro
12 da Cruz Neto, João Xavier
12 de Oliveira, Welington Luis
12 Kumam, Poom
12 Nam, Nguyen Mau
12 Nobakhtian, Soghra
12 Phan, Hung M.
11 Aragón Artacho, Francisco Javier
11 Beer, Gerald Alan
11 Cibulka, Radek
11 Gorban, Nataliia V.
11 Hu, Yijun
11 Le, Ba Khiet
11 Li, Minghua
11 Liu, Zhenhai
11 Martínez-Legaz, Juan-Enrique
11 Motta, Monica
11 Nguyen Thi Toan
11 Outrata, Jiří V.
11 Penot, Jean-Paul
11 Sun, Xiangkai
11 Tam, Matthew K.
11 Wen, Chingfeng
11 Yang, Xiaoqi
11 Zhang, Jie
10 Chen, Yanhong
10 Dao, Minh Ngoc
10 Fadili, Jalal M.
10 Hamel, Andreas H.
10 Izmailov, Alekseĭ F.
10 Lindstrom, Scott B.
10 Luke, David Russell
10 Marigonda, Antonio
10 Mewomo, Oluwatosin Temitope
10 Movahedian, Nooshin
10 Pesquet, Jean-Christophe
10 Royset, Johannes O.
10 Rudloff, Birgit
10 Thao, Nguyen Hieu
10 Winkert, Patrick
10 Zidani, Hasnaa
9 Briceño-Arias, Luis M.
9 Burachik, Regina Sandra
9 Campoy, Rubén
9 Colombo, Giovanni
9 Hermosilla, Cristopher
...and 2,470 more Authors
all top 5

Cited in 338 Journals

196 Set-Valued and Variational Analysis
186 Journal of Optimization Theory and Applications
160 Optimization
111 SIAM Journal on Optimization
87 Mathematical Programming. Series A. Series B
85 Journal of Mathematical Analysis and Applications
73 Optimization Letters
62 Journal of Global Optimization
52 Computational Optimization and Applications
52 Journal of Convex Analysis
46 SIAM Journal on Control and Optimization
43 Positivity
39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Numerical Functional Analysis and Optimization
32 Applied Mathematics and Optimization
31 Vietnam Journal of Mathematics
31 Journal of Inequalities and Applications
27 Journal of Differential Equations
26 Applicable Analysis
26 Annals of Operations Research
24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
24 Optimization Methods & Software
24 Journal of Fixed Point Theory and Applications
21 Journal of Nonlinear and Variational Analysis
19 Journal of Industrial and Management Optimization
19 SIAM Journal on Imaging Sciences
18 Numerical Algorithms
17 Mathematics of Operations Research
16 Discrete and Continuous Dynamical Systems. Series B
15 Computational and Applied Mathematics
15 Fixed Point Theory and Applications
14 Results in Mathematics
14 Mediterranean Journal of Mathematics
13 Applied Mathematics and Computation
13 Topology and its Applications
13 European Journal of Operational Research
13 Journal of Mathematical Imaging and Vision
12 Operations Research Letters
12 Mathematical Problems in Engineering
12 Discrete and Continuous Dynamical Systems. Series S
11 Journal of Scientific Computing
11 Filomat
10 Inverse Problems
10 Proceedings of the American Mathematical Society
10 Calculus of Variations and Partial Differential Equations
10 Abstract and Applied Analysis
9 Journal of Mathematical Sciences (New York)
9 Discrete and Continuous Dynamical Systems
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 Journal of Computational and Applied Mathematics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Asia-Pacific Journal of Operational Research
7 Topological Methods in Nonlinear Analysis
7 Top
7 Mathematical Methods of Operations Research
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 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Linear Algebra and its Applications
6 SIAM Journal on Scientific Computing
6 Applied and Computational Harmonic Analysis
6 Thai Journal of Mathematics
6 OJMO. Open Journal of Mathematical Optimization
5 Journal of Mathematical Economics
5 Advances in Computational Mathematics
5 Communications in Contemporary Mathematics
5 Differential Equations
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Communications on Pure and Applied Analysis
5 Numerical Algebra, Control and Optimization
5 Mathematical Control and Related Fields
5 SIAM Journal on Mathematics of Data Science
5 Fixed Point Theory and Algorithms for Sciences and Engineering
4 International Journal of Control
4 Mathematical Methods in the Applied Sciences
4 Mathematical Notes
4 Beiträge zur Algebra und Geometrie
4 Automatica
4 SIAM Journal on Numerical Analysis
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 INFORMS Journal on Computing
4 Finance and Stochastics
4 Fractional Calculus & Applied Analysis
4 International Journal of Theoretical and Applied Finance
4 Journal of Dynamical and Control Systems
4 Foundations of Computational Mathematics
4 Computational Management Science
4 Symmetry
...and 238 more Journals
all top 5

Cited in 51 Fields

1,261 Operations research, mathematical programming (90-XX)
1,093 Calculus of variations and optimal control; optimization (49-XX)
606 Operator theory (47-XX)
456 Numerical analysis (65-XX)
231 Partial differential equations (35-XX)
206 Ordinary differential equations (34-XX)
171 General topology (54-XX)
168 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
159 Functional analysis (46-XX)
122 Real functions (26-XX)
110 Global analysis, analysis on manifolds (58-XX)
100 Systems theory; control (93-XX)
81 Dynamical systems and ergodic theory (37-XX)
73 Computer science (68-XX)
72 Convex and discrete geometry (52-XX)
70 Information and communication theory, circuits (94-XX)
61 Measure and integration (28-XX)
39 Statistics (62-XX)
32 Probability theory and stochastic processes (60-XX)
30 Mechanics of deformable solids (74-XX)
27 Approximations and expansions (41-XX)
25 Biology and other natural sciences (92-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
16 Difference and functional equations (39-XX)
16 Fluid mechanics (76-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Differential geometry (53-XX)
9 General and overarching topics; collections (00-XX)
9 Mathematical logic and foundations (03-XX)
8 Geometry (51-XX)
8 Algebraic topology (55-XX)
8 Mechanics of particles and systems (70-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)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Algebraic geometry (14-XX)
3 Topological groups, Lie groups (22-XX)
2 Category theory; homological algebra (18-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 Manifolds and cell complexes (57-XX)

Citations by Year