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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: http://link.springer.com/journal/volumesAndIssues/11228
Predecessor: Set-Valued Analysis
Comments: Indexed cover-to-cover
Documents Indexed: 468 Publications (since 2009)
References Indexed: 453 Publications with 13,179 References.
all top 5

Authors

11 Mordukhovich, Boris S.
10 Bauschke, Heinz H.
10 López-Cerdá, Marco Antonio
10 Outrata, Jiří V.
10 Zaslavski, Alexander Yakovlevich
9 Wang, Shawn Xianfu
8 Henrion, René
8 Kruger, Alexander Ya.
8 Théra, Michel A.
8 Zhang, Liwei
7 Adly, Samir
7 Burachik, Regina Sandra
7 Gfrerer, Helmut
6 Borwein, Jonathan Michael
6 Boţ, Radu Ioan
6 Combettes, Patrick L.
6 Goberna, Miguel Angel
6 Hantoute, Abderrahim
6 Martínez-Legaz, Juan-Enrique
6 Thibault, Lionel
5 Beer, Gerald Alan
5 de Pinho, Maria do Rosário
5 Nam, Nguyen Mau
5 Reich, Simeon
5 Seeger, Alberto
5 Simons, Stephen
5 Valero, José
5 Volle, Michel
5 Yao, Jen-Chih
5 Ye, Jane J.
4 Arutyunov, Aram Vladimirovic
4 Bianchi, Monica
4 Bounkhel, Messaoud
4 Cánovas, María Josefa
4 Castaing, Charles
4 Csetnek, Ernö Robert
4 Dontchev, Asen L.
4 Eberhard, Andrew C.
4 Fabian, Marián J.
4 Li, Shengjie
4 Luke, D. Russell
4 Penot, Jean-Paul
4 Pini, Rita
4 Smirnov, Georgi V.
4 Uderzo, Amos
4 Wachsmuth, Gerd
4 Yao, Liangjin
4 Zhukovskiĭ, Sergeĭ Evgen’evich
3 Aragón Artacho, Francisco Javier
3 Attouch, Hedy
3 Aussel, Didier
3 Azzam-Laouir, Dalila
3 Červinka, Michal
3 Cibulka, Radek
3 Colombo, Giovanni
3 Correa, Rafael
3 Daniilidis, Aris
3 Donchev, Tzanko Donchev
3 Durea, Marius
3 Huang, Hui
3 Huynh Van Ngai
3 Ivanov, Grigorii E.
3 Kassay, Gábor
3 Konnov, Igor V.
3 Lassonde, Marc
3 Le, Ba Khiet
3 Mehlitz, Patrick
3 Meng, Kaiwen
3 Movahedian, Nooshin
3 Noll, Dominikus
3 Pang, Liping
3 Parra, Juan
3 Phan, Hung M.
3 Pištěk, Miroslav
3 Roberto, Lucchetti E.
3 Rockafellar, Ralph Tyrrell
3 Royset, Johannes O.
3 Sagara, Nobusumi
3 Sagastizábal, Claudia A.
3 Sagastizábal, Claudia S.
3 Shanbhag, Uday V.
3 Soubeyran, Antoine
3 Strugariu, Radu
3 Toledo, Fco. Javier
3 Van Ackooij, Wim
3 Voisei, Mircea Dan
3 Wang, Bingwu
3 Wu, Jia
3 Yang, Xiaoqi
3 Zhang, Yi
3 Zidani, Hasnaa
2 Adam, Lukáš
2 Apkarian, Pierre
2 Aronna, María Soledad
2 Benedetti, Irene
2 Benko, Matus
2 Bento, Glaydston C.
2 Bonnans, Joseph Frédéric
2 Bueno, Orestes
2 Burke, James V.
...and 489 more Authors

Publications by Year

Citations contained in zbMATH Open

350 Publications have been cited 2,151 times in 1,710 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
94
2012
Error bounds: necessary and sufficient conditions. Zbl 1192.49018
Fabian, Marian J.; Henrion, René; Kruger, Alexander Y.; Outrata, Jiří V.
61
2010
A three-operator splitting scheme and its optimization applications. Zbl 1464.47041
Davis, Damek; Yin, Wotao
52
2017
On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs. Zbl 1321.49031
Gfrerer, Helmut
45
2013
Common solutions to variational inequalities. Zbl 1296.47060
Censor, Yair; Gibali, Aviv; Reich, Simeon; Sabach, Shoham
40
2012
A duality theory for set-valued functions. I: Fenchel conjugation theory. Zbl 1168.49031
Hamel, Andreas H.
37
2009
Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099
Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin
33
2015
Multiple solutions for nonlinear coercive problems with a nonhomogeneous differential operator and a nonsmooth potential. Zbl 1258.35075
Gasiński, Leszek; Papageorgiou, Nikolaos S.
29
2012
Restricted normal cones and the method of alternating projections: theory. Zbl 1272.49027
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
27
2013
Resolvents of set-valued monotone vector fields in Hadamard manifolds. Zbl 1239.47043
Li, Chong; López, Genaro; Martín-Márquez, Victoria; Wang, Jin-Hua
26
2011
Dualization of signal recovery problems. Zbl 1229.90123
Combettes, Patrick L.; Dũng, Đinh; Vũ, Băng Công
23
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.
23
2009
Robust duality in parametric convex optimization. Zbl 1327.90195
Boţ, R. I.; Jeyakumar, V.; Li, G. Y.
20
2013
Error bounds and Hölder metric subregularity. Zbl 1330.49012
Kruger, Alexander Y.
20
2015
A second-order model for image denoising. Zbl 1203.94006
Bergounioux, Maïtine; Piffet, Loic
20
2010
Forward-backward and Tseng’s type penalty schemes for monotone inclusion problems. Zbl 1308.47064
Boţ, Radu Ioan; Csetnek, Ernö Robert
20
2014
First and second order convex sweeping processes in reflexive smooth Banach spaces. Zbl 1200.34067
Bounkhel, Messaoud; Al-Yusof, Rabab
19
2010
Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality. Zbl 1263.47066
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
19
2012
Discrete approximations of a controlled sweeping process. Zbl 1312.49015
Colombo, G.; Henrion, R.; Hoang, N. D.; Mordukhovich, B. S.
18
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.
18
2013
Calculus rules for derivatives of multimaps. Zbl 1173.54008
Li, S. J.; Meng, K. W.; Penot, J.-P.
18
2009
Restricted normal cones and the method of alternating projections: applications. Zbl 1349.65191
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
18
2013
On subregularity properties of set-valued mappings. Zbl 1285.90062
Apetrii, Marius; Durea, Marius; Strugariu, Radu
17
2013
Variational analysis of directional minimal time functions and applications to location problems. Zbl 1321.49028
Nam, Nguyen Mau; Zălinescu, Constantin
16
2013
About subtransversality of collections of sets. Zbl 1383.49028
Kruger, Alexander Y.; Luke, D. Russell; Thao, Nguyen H.
16
2017
On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs. Zbl 1297.49023
Gfrerer, Helmut
16
2014
Codifferential calculus. Zbl 1262.47074
Li, Shengjie; Penot, Jean-Paul; Xue, Xiaowei
16
2011
A maximum principle for the controlled sweeping process. Zbl 1398.49015
Arroud, Chems Eddine; Colombo, Giovanni
16
2018
Generalized control systems in the space of probability measures. Zbl 1400.93330
Cavagnari, Giulia; Marigonda, Antonio; Nguyen, Khai T.; Priuli, Fabio S.
16
2018
On global attractors of multivalued semiflows generated by the 3D Bénard system. Zbl 1259.35042
Kapustyan, Alexey V.; Pankov, Andrey V.; Valero, José
16
2012
Calmness of the feasible set mapping for linear inequality systems. Zbl 1297.90163
Cánovas, M. J.; López, M. A.; Parra, J.; Toledo, F. J.
15
2014
Inradius and circumradius of various convex cones arising in applications. Zbl 1217.46047
Henrion, René; Seeger, Alberto
14
2010
A proximal point-type method for multicriteria optimization. Zbl 1296.90113
Bento, G. C.; Neto, J. X. Cruz; Soubeyran, A.
14
2014
On properties of different notions of centers for convex cones. Zbl 1198.46011
Henrion, René; Seeger, Alberto
14
2010
Graphical derivatives and stability analysis for parameterized equilibria with conic constraints. Zbl 1330.49013
Mordukhovich, Boris S.; Outrata, Jiri V.; Ramírez C., Héctor
13
2015
A shared-constraint approach to multi-leader multi-follower games. Zbl 1307.91046
Kulkarni, Ankur A.; Shanbhag, Uday V.
13
2014
Cutting plane oracles to minimize non-smooth non-convex functions. Zbl 1219.49013
Noll, Dominikus
13
2010
Clarke generalized Jacobian of the projection onto symmetric cones. Zbl 1168.49043
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
13
2009
Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints. Zbl 1261.90058
Zhang, Yi; Zhang, Liwei; Wu, Jia
13
2011
Asymptotics for some proximal-like method involving inertia and memory aspects. Zbl 1214.65037
Cabot, Alexandre; Frankel, Pierre
13
2011
Flow invariance on stratified domains. Zbl 1327.93215
Barnard, Richard C.; Wolenski, Peter R.
12
2013
Uniform continuity, uniform convergence, and shields. Zbl 1236.54012
Beer, Gerald; Levi, Sandro
12
2010
Local search proximal algorithms as decision dynamics with costs to move. Zbl 1209.49042
Attouch, H.; Soubeyran, A.
12
2011
On the theory of global attractors and Lyapunov functionals. Zbl 1260.37048
Coti Zelati, Michele
12
2013
Infimum gaps for limit solutions. Zbl 1311.49087
Aronna, M.-Soledad; Motta, Monica; Rampazzo, Franco
11
2015
Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027
Burke, James V.; Hoheisel, Tim; Kanzow, Christian
11
2013
On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions. Zbl 1365.65160
Bello Cruz, José Yunier
11
2017
Solving ill-posed bilevel programs. Zbl 1362.90346
Zemkoho, Alain B.
11
2016
Mathematical programs with semidefinite cone complementarity constraints: constraint qualifications and optimality conditions. Zbl 1296.90118
Wu, Jia; Zhang, Liwei; Zhang, Yi
11
2014
Mixed semicontinuous perturbation of nonconvex state-dependent sweeping process. Zbl 1307.34033
Azzam-Laouir, Dalila; Izza, Sabrina; Thibault, Lionel
11
2014
On optimality conditions in control of elliptic variational inequalities. Zbl 1211.49036
Outrata, Jiří; Jarušek, Jiří; Stará, Jana
11
2011
Infinite horizon optimal control problems in the light of convex analysis in Hilbert spaces. Zbl 1311.49084
Pickenhain, Sabine
10
2015
About intrinsic transversality of pairs of sets. Zbl 1387.49023
Kruger, Alexander Y.
10
2018
On some regularity properties in variational analysis. Zbl 1177.49032
Uderzo, Amos
10
2009
Metric regularity of mappings and generalized normals to set images. Zbl 1218.49023
Mordukhovich, Boris S.; Nam, Nguyen Mau; Wang, Bingwu
10
2009
Three solutions for a partial differential inclusion via nonsmooth critical point theory. Zbl 1219.35381
Iannizzotto, Antonio
10
2011
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.
10
2015
Global solutions for nonlinear delay evolution inclusions with nonlocal initial conditions. Zbl 1266.34127
Vrabie, Ioan I.
10
2012
Optimal control involving sweeping processes. Zbl 1419.49030
de Pinho, M. d. R.; Ferreira, M. M. A.; Smirnov, G. V.
10
2019
Finite convergence of the proximal point algorithm for variational inequality problems. Zbl 1321.49016
Matsushita, Shin-Ya; Xu, Li
9
2013
A characterization of the subdifferential of singular Gaussian distribution functions. Zbl 1327.90159
van Ackooij, Wim; Minoux, M.
9
2015
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.
9
2018
Well-posedness of minimal time problems with constant dynamics in Banach spaces. Zbl 1219.49014
Colombo, Giovanni; Goncharov, Vladimir V.; Mordukhovich, Boris S.
9
2010
New formulas for the Fenchel subdifferential of the conjugate function. Zbl 1205.26018
Correa, Rafael; Hantoute, Abderrahim
9
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.
9
2010
Nonlocal problems for differential inclusions in Hilbert spaces. Zbl 1312.34097
Benedetti, I.; Loi, N. V.; Malaguti, L.
9
2014
Strong and weak solutions to second order differential inclusions governed by monotone operators. Zbl 1315.34067
Khatibzadeh, Hadi; Moroşanu, Gheorghe
9
2014
Negatively invariant sets and entire trajectories of set-valued dynamical systems. Zbl 1225.37022
Kloeden, Peter E.; Marín-Rubio, Pedro
9
2011
Linear monotone subspaces of locally convex spaces. Zbl 1192.47047
Voisei, M. D.; Zălinescu, C.
9
2010
Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
9
2015
The limiting normal cone to pointwise defined sets in Lebesgue spaces. Zbl 1401.49018
Mehlitz, Patrick; Wachsmuth, Gerd
9
2018
Perturbed evolution problems with continuous bounded variation in time and applications. Zbl 1403.34046
Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, M. D. P.
9
2018
State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces. Zbl 1262.34072
Bounkhel, Messaoud; Castaing, Charles
9
2012
A class of generalized evolutionary problems driven by variational inequalities and fractional operators. Zbl 1441.47076
Migórski, Stanisław; Zeng, Shengda
9
2019
Equivalent conditions for local error bounds. Zbl 1254.49011
Meng, K. W.; Yang, X. Q.
9
2012
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.
9
2013
A generalized inexact proximal point method for nonsmooth functions that satisfies Kurdyka Łojasiewicz inequality. Zbl 1342.49019
Bento, Glaydston C.; Soubeyran, Antoine
8
2015
Any semitopological group that is homeomorphic to a product of Čech-complete spaces is a topological group. Zbl 1321.22006
Moors, Warren B.
8
2013
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
8
2017
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.
8
2017
Multivariate epi-splines and evolving function identification problems. Zbl 1356.41004
Royset, Johannes O.; Wets, Roger J.-B.
8
2016
Nonsmooth bundle trust-region algorithm with applications to robust stability. Zbl 1334.49092
Apkarian, Pierre; Noll, Dominikus; Ravanbod, Laleh
8
2016
Constraint qualifications for nonsmooth mathematical programs with equilibrium constraints. Zbl 1191.90070
Movahedian, N.; Nobakhtian, S.
8
2009
Pareto solutions of polyhedral-valued vector optimization problems in Banach spaces. Zbl 1177.49033
Zheng, Xi Yin
8
2009
Stability and optimality of solutions to differential inclusions via averaging method. Zbl 1307.34001
Gama, Ricardo; Smirnov, Georgi
8
2014
Subgradients of the value function to a parametric optimal control problem. Zbl 1214.47064
Toan, N. T.; Kien, B. T.
8
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.
8
2011
Attractors for multi-valued non-autonomous dynamical systems: relationship, characterization and robustness. Zbl 1401.37085
Cui, Hongyong; Langa, José A.; Li, Yangrong; Valero, José
8
2018
A metric version of Milyutin theorem. Zbl 1250.49020
Uderzo, Amos
8
2012
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.
8
2018
Variational analysis and generalized equations in electronics. Zbl 1321.49029
Adly, Samir; Cibulka, Radek; Massias, Henri
7
2013
Stability in linear optimization under perturbations of the left-hand side coefficients. Zbl 1330.49023
Daniilidis, A.; Goberna, M. A.; Lopez, M. A.; Lucchetti, R.
7
2015
Necessary optimality conditions for optimal control problems with nonsmooth mixed state and control constraints. Zbl 1350.49027
Li, An; Ye, Jane J.
7
2016
On the response of autonomous sweeping processes to periodic perturbations. Zbl 1362.34031
Kamenskii, Mikhail; Makarenkov, Oleg
7
2016
Uniform continuity and a new bornology for a metric space. Zbl 1422.54019
Beer, Gerald; Garrido, M. Isabel; Meroño, Ana S.
7
2018
Equilibrium problems: existence results and applications. Zbl 06861473
Cotrina, John; García, Yboon
7
2018
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm. Zbl 06804490
Bauschke, Heinz H.; Lukens, Brett; Moursi, Walaa M.
7
2017
A class of subdifferential inclusions for elastic unilateral contact problems. Zbl 06584642
Kalita, Piotr; Migórski, Stanisław; Sofonea, Mircea
7
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
7
2014
Generalized topological essentiality and coincidence points of multivalued maps. Zbl 1182.54052
Gabor, Grzegorz; Górniewicz, Lech; Ślosarski, Mirosław
7
2009
New inertial factors of the Krasnosel’skiĭ-Mann iteration. Zbl 07345313
Dong, Yunda
1
2021
Resolvents and Yosida approximations of displacement mappings of isometries. Zbl 07383628
Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu
1
2021
Deep neural network structures solving variational inequalities. Zbl 1448.49014
Combettes, Patrick L.; Pesquet, Jean-Christophe
4
2020
Duality for the robust sum of functions. Zbl 07193689
Dinh, N.; Goberna, M. A.; Volle, Michel
2
2020
Continuous dynamics related to monotone inclusions and non-smooth optimization problems. Zbl 07344788
Csetnek, Ernö Robert
2
2020
Generalized derivatives for the solution operator of the obstacle problem. Zbl 1442.49030
Rauls, Anne-Therese; Wachsmuth, Gerd
2
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.
2
2020
Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems. Zbl 07243969
Dolgopolik, M. V.
2
2020
The radius of metric subregularity. Zbl 1447.49030
Dontchev, Asen L.; Gfrerer, Helmut; Kruger, Alexander Y.; Outrata, Jiří V.
2
2020
Some new characterizations of intrinsic transversality in Hilbert spaces. Zbl 1437.90152
Thao, Nguyen Hieu; Bui, Hoa T.; Cuong, Nguyen Duy; Verhaegen, Michel
1
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
1
2020
Bartle-Graves theorem revisited. Zbl 1444.47068
Dontchev, Asen L.
1
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
1
2020
Stability analysis for parameterized variational systems with implicit constraints. Zbl 1437.49017
Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V.
1
2020
An inverse mapping theorem in Fréchet-Montel spaces. Zbl 1446.49014
Cibulka, Radek; Fabian, Marián; Roubal, Tomáš
1
2020
Nonsmoothness in machine learning: specific structure, proximal identification, and applications. Zbl 07344790
Iutzeler, Franck; Malick, Jérôme
1
2020
Some results on strongly pseudomonotone quasi-variational inequalities. Zbl 1441.49013
Nguyen, Luong V.; Qin, Xiaolong
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
Epi/hypo-convergence of bifunctions on general domains and approximations of quasi-variational problems. Zbl 1450.90052
Diem, H. T. H.; Khanh, P. Q.
1
2020
Optimal control involving sweeping processes. Zbl 1419.49030
de Pinho, M. d. R.; Ferreira, M. M. A.; Smirnov, G. V.
10
2019
A class of generalized evolutionary problems driven by variational inequalities and fractional operators. Zbl 1441.47076
Migórski, Stanisław; Zeng, Shengda
9
2019
An inertial algorithm for DC programming. Zbl 1434.90151
de Oliveira, Welington; Tcheou, Michel P.
7
2019
Sensitivity analysis for a class of \(H_{0}^{1}\)-elliptic variational inequalities of the second kind. Zbl 1416.35036
Christof, Constantin; Meyer, Christian
6
2019
Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248
Hintermüller, M.; Rautenberg, C. N.; Strogies, N.
5
2019
Connectedness of approximate efficient solutions for generalized semi-infinite vector optimization problems. Zbl 1430.90514
Peng, Zai-Yun; Wang, Xianfu; Yang, Xin-Min
3
2019
On a method of solving some functional equations for set-valued functions. Zbl 1428.39032
Sikorska, Justyna
3
2019
Calculus for directional limiting normal cones and subdifferentials. Zbl 1426.49018
Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V.
3
2019
Inversion of nonsmooth maps between Banach spaces. Zbl 1433.49021
Jaramillo, Jesús A.; Lajara, Sebastián; Madiedo, Óscar
3
2019
Metric regularity properties in bang-bang type linear-quadratic optimal control problems. Zbl 1419.49012
Preininger, J.; Scarinci, T.; Veliov, V. M.
3
2019
Convergence analysis of the implicit Euler-discretization and sufficient conditions for optimal control problems subject to index-one differential-algebraic equations. Zbl 1419.49007
Martens, Björn; Gerdts, Matthias
3
2019
Theorems of the alternative for systems of convex inequalities. Zbl 07058435
Arutyunov, Aram V.; Zhukovskiy, Sergey E.; Marinkovic, Boban
2
2019
Regular and limiting normal cones to the graph of the subdifferential mapping of the nuclear norm. Zbl 1416.49018
Liu, Yulan; Pan, Shaohua
2
2019
About asymptotic analysis and set optimization. Zbl 07115100
Hernández, Elvira; López, Rubén
2
2019
On the sequential normal compactness condition and its restrictiveness in selected function spaces. Zbl 1428.49019
Mehlitz, Patrick
2
2019
Linearized M-stationarity conditions for general optimization problems. Zbl 1430.90556
Gfrerer, Helmut
2
2019
Analysis of optimal control problems of semilinear elliptic equations by BV-functions. Zbl 1421.35124
Casas, Eduardo; Kunisch, Karl
2
2019
Lyapunov pairs in semilinear differential problems with state-dependent impulses. Zbl 1426.34074
Benedetti, I.; Cardinali, T.; Gabor, G.; Rubbioni, P.
2
2019
On maximality of quasimonotone operators. Zbl 07058437
Bueno, Orestes; Cotrina, John
1
2019
Selective bi-coordinate method for limit non-smooth resource allocation type problems. Zbl 1420.90067
Konnov, I. V.
1
2019
Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties. Zbl 1423.41050
Alimov, A. R.
1
2019
Trajectories of differential inclusions on Riemannian manifolds and invariance. Zbl 1417.58007
Pouryayevali, M. R.; Radmanesh, H.
1
2019
The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry. Zbl 1415.49014
Mehlitz, Patrick; Wachsmuth, Gerd
1
2019
Computation of the epsilon-subdifferential of convex piecewise linear-quadratic functions in optimal worst-case time. Zbl 07115099
Kumar, Deepak; Lucet, Yves
1
2019
New constraint qualifications and optimality conditions for second order cone programs. Zbl 1423.90249
Zhang, Yi; Zhang, Liwei
1
2019
Variations of deformations with self-contact on Lipschitz domains. Zbl 1431.35200
Palmer, Aaron Zeff
1
2019
Well-posedness and subdifferentials of optimal value and infimal convolution. Zbl 1430.49009
Ivanov, Grigorii E.; Thibault, Lionel
1
2019
Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007
Rockafellar, R. Tyrrell
1
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
1
2019
Correction to: Optimal control involving sweeping processes. Zbl 1453.49012
de Pinho, M. d. R.; Ferreira, M. M. A.; Smirnov, G. V.
1
2019
Infinite horizon problems in the calculus of variations. The role of transformations with an application to the brachistochrone problem. Zbl 1419.49018
Pickenhain, Sabine
1
2019
Sensitivity properties of parametric nonconvex evolution inclusions with application to optimal control problems. Zbl 1421.49002
Adly, Samir; Zakaryan, Taron
1
2019
Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set. Zbl 1432.34081
Vilches, Emilio
1
2019
A maximum principle for the controlled sweeping process. Zbl 1398.49015
Arroud, Chems Eddine; Colombo, Giovanni
16
2018
Generalized control systems in the space of probability measures. Zbl 1400.93330
Cavagnari, Giulia; Marigonda, Antonio; Nguyen, Khai T.; Priuli, Fabio S.
16
2018
About intrinsic transversality of pairs of sets. Zbl 1387.49023
Kruger, Alexander Y.
10
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.
9
2018
The limiting normal cone to pointwise defined sets in Lebesgue spaces. Zbl 1401.49018
Mehlitz, Patrick; Wachsmuth, Gerd
9
2018
Perturbed evolution problems with continuous bounded variation in time and applications. Zbl 1403.34046
Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, M. D. P.
9
2018
Attractors for multi-valued non-autonomous dynamical systems: relationship, characterization and robustness. Zbl 1401.37085
Cui, Hongyong; Langa, José A.; Li, Yangrong; Valero, José
8
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.
8
2018
Uniform continuity and a new bornology for a metric space. Zbl 1422.54019
Beer, Gerald; Garrido, M. Isabel; Meroño, Ana S.
7
2018
Equilibrium problems: existence results and applications. Zbl 06861473
Cotrina, John; García, Yboon
7
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.
7
2018
(Sub-)differentiability of probability functions with elliptical distributions. Zbl 1416.90028
van Ackooij, W.; Aleksovska, I.; Munoz-Zuniga, M.
7
2018
On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind. Zbl 06936446
Hintermüller, M.; Surowiec, T. M.
6
2018
Solving stochastic programming problems with risk measures by progressive hedging. Zbl 1416.90027
Rockafellar, R. Tyrrell
6
2018
Solving graph coloring problems with the Douglas-Rachford algorithm. Zbl 06913660
Aragón Artacho, Francisco J.; Campoy, Rubén
5
2018
The Mayer and minimum time problems with stratified state constraints. Zbl 1404.35469
Hermosilla, C.; Wolenski, P. R.; Zidani, H.
5
2018
Viability theorem for deterministic mean field type control systems. Zbl 1406.49052
Averboukh, Yurii
5
2018
Perspective functions: properties, constructions, and examples. Zbl 1396.26021
Combettes, Patrick L.
4
2018
Full stability of general parametric variational systems. Zbl 1406.49011
Mordukhovich, B. S.; Nghia, T. T. A.; Pham, D. T.
4
2018
A partial answer to the Demyanov-Ryabova conjecture. Zbl 1387.52025
Daniilidis, Aris; Petitjean, Colin
3
2018
A remark on the convergence of the Douglas-Rachford iteration in a non-convex setting. Zbl 06913656
Giladi, Ohad
3
2018
Stability of possibly nonisolated solutions of constrained equations, with applications to complementarity and equilibrium problems. Zbl 06913662
Arutyunov, A. V.; Izmailov, A. F.
3
2018
Computing proximal points of convex functions with inexact subgradients. Zbl 1401.49039
Hare, W.; Planiden, C.
3
2018
A review on ambiguity in stochastic portfolio optimization. Zbl 1416.90026
Pflug, Georg Ch.; Pohl, Mathias
3
2018
Upper semismooth functions and the subdifferential determination property. Zbl 1387.49021
Lassonde, Marc
2
2018
Necessary optimality conditions for implicit control systems with applications to control of differential algebraic equations. Zbl 1390.49018
Li, An; Ye, Jane J.
2
2018
Approaching nonsmooth nonconvex optimization problems through first order dynamical systems with hidden acceleration and Hessian driven damping terms. Zbl 1452.90250
Boţ, Radu Ioan; Csetnek, Ernö Robert
2
2018
Symbolic computation with monotone operators. Zbl 06913663
Lauster, Florian; Luke, D. Russell; Tam, Matthew K.
2
2018
On second-order proto-differentiability of perturbation maps. Zbl 1395.90238
Tung, L. T.
2
2018
Quasidense monotone multifunctions. Zbl 06861465
Simons, Stephen
1
2018
Nearly Chebyshev sets are almost convex. Zbl 1387.41014
Moors, Warren B.
1
2018
SOS-convex semialgebraic programs and its applications to robust optimization: a tractable class of nonsmooth convex optimization. Zbl 1393.90083
Chieu, N. H.; Feng, J. W.; Gao, W.; Li, G.; Wu, D.
1
2018
On Bregman-type distances for convex functions and maximally monotone operators. Zbl 06913664
Burachik, Regina S.; Martínez-Legaz, Juan E.
1
2018
Non-smooth optimization for robust control of infinite-dimensional systems. Zbl 1393.90138
Apkarian, Pierre; Noll, Dominikus; Ravanbod, Laleh
1
2018
Algorithmic construction of the subdifferential from directional derivatives. Zbl 1403.52009
Audet, Charles; Hare, Warren
1
2018
Infimal convolution and optimal time control problem. I: Fréchet and proximal subdifferentials. Zbl 1400.49015
Ivanov, Grigorii E.; Thibault, Lionel
1
2018
The metric integral of set-valued functions. Zbl 1405.26030
Dyn, Nira; Farkhi, Elza; Mokhov, Alona
1
2018
Variance-optimal martingale measures for diffusion processes with stochastic coefficients. Zbl 1405.60056
Hernández-Hernández, Daniel
1
2018
Subgradient projectors: extensions, theory, and characterizations. Zbl 1422.49014
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
1
2018
A three-operator splitting scheme and its optimization applications. Zbl 1464.47041
Davis, Damek; Yin, Wotao
52
2017
About subtransversality of collections of sets. Zbl 1383.49028
Kruger, Alexander Y.; Luke, D. Russell; Thao, Nguyen H.
16
2017
On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions. Zbl 1365.65160
Bello Cruz, José Yunier
11
2017
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
8
2017
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.
8
2017
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm. Zbl 06804490
Bauschke, Heinz H.; Lukens, Brett; Moursi, Walaa M.
7
2017
Stability of saddle points via explicit coderivatives of pointwise subdifferentials. Zbl 1367.49011
Clason, Christian; Valkonen, Tuomo
5
2017
Stability of metric regularity with set-valued perturbations and application to Newton’s method for solving generalized equations. Zbl 1393.49012
Adly, Samir; Huynh Van Ngai; Nguyen Van Vu
5
2017
A general representation of \(\delta\)-normal sets to sublevels of convex functions. Zbl 1381.26015
Hantoute, Abderrahim; Svensson, Anton
5
2017
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Cited by 1,798 Authors

31 Boţ, Radu Ioan
23 Papageorgiou, Nikolaos S.
22 Kruger, Alexander Ya.
22 Mordukhovich, Boris S.
21 Csetnek, Ernö Robert
20 Bauschke, Heinz H.
20 Yao, Jen-Chih
19 Wang, Shawn Xianfu
17 Durea, Marius
17 Soubeyran, Antoine
16 Zaslavski, Alexander Yakovlevich
16 Zhang, Liwei
15 Hantoute, Abderrahim
15 López-Cerdá, Marco Antonio
15 Noll, Dominikus
14 Adly, Samir
14 Arutyunov, Aram Vladimirovic
14 Combettes, Patrick L.
14 Gfrerer, Helmut
14 Kasyanov, Pavlo O.
14 Strugariu, Radu
13 Mehlitz, Patrick
13 Seeger, Alberto
13 Valero, José
13 Van Ackooij, Wim
13 Ye, Jane J.
12 Bounkhel, Messaoud
12 Gasiński, Leszek
12 Goberna, Miguel Angel
12 Huynh Van Ngai
12 Pérez-Aros, Pedro
12 Reich, Simeon
12 Thibault, Lionel
12 Yao, Liangjin
11 Borwein, Jonathan Michael
11 Cánovas, María Josefa
11 Kapustyan, Oleksiy V.
11 Théra, Michel A.
10 Anh, Nguyen Le Hoang
10 Beer, Gerald Alan
10 Chuong, Thai Doan
10 Correa, Rafael
10 Dang Van Hieu
10 Hamel, Andreas H.
10 Henrion, René
10 Outrata, Jiří V.
10 Parra, Juan
10 Phan, Hung M.
10 Volle, Michel
10 Wachsmuth, Gerd
10 Zhang, Jie
9 Castaing, Charles
9 Gorban, Nataliia V.
9 Luke, D. Russell
9 Marigonda, Antonio
9 Martínez-Legaz, Juan-Enrique
9 Movahedian, Nooshin
9 Nobakhtian, Soghra
9 Penot, Jean-Paul
9 Phan Quôc Khánh
9 Royset, Johannes O.
9 Thao, Nguyen Hieu
9 Vũ, Bằng Công
9 Zeng, Shengda
8 Apkarian, Pierre
8 Attouch, Hedy
8 Chen, Yanhong
8 Colombo, Giovanni
8 da Cruz Neto, João Xavier
8 Dao, Minh Ngoc
8 Hu, Yijun
8 Huang, Nan-Jing
8 Karamzin, Dmitry Yu.
8 Le, Ba Khiet
8 Nam, Nguyen Mau
8 Pini, Rita
8 Rudloff, Birgit
8 Sun, Xiangkai
8 Tam, Matthew K.
8 Winkert, Patrick
8 Zhang, Binbin
8 Zhukovskiĭ, Sergeĭ Evgen’evich
7 Aragón Artacho, Francisco Javier
7 Azzam-Laouir, Dalila
7 Bello Cruz, Jose Yunier
7 Bianchi, Monica
7 Cibulka, Radek
7 de Oliveira, Welington Luis
7 Holá, Ľubica
7 Izmailov, Alekseĭ F.
7 Kalita, Piotr
7 Li, Shengjie
7 Lindstrom, Scott B.
7 Motta, Monica
7 Moursi, Walaa M.
7 Oliveira, Paulo Roberto
7 Shahzad, Naseer
7 Tang, Yuchao
7 Torki, Mounir
6 Ansari, Qamrul Hasan
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Cited in 266 Journals

153 Journal of Optimization Theory and Applications
145 Set-Valued and Variational Analysis
102 Optimization
79 SIAM Journal on Optimization
65 Journal of Mathematical Analysis and Applications
60 Mathematical Programming. Series A. Series B
55 Optimization Letters
47 Journal of Global Optimization
39 Computational Optimization and Applications
37 Positivity
34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 SIAM Journal on Control and Optimization
30 Vietnam Journal of Mathematics
22 Journal of Fixed Point Theory and Applications
21 Numerical Functional Analysis and Optimization
19 Journal of Differential Equations
19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Applicable Analysis
16 Journal of Convex Analysis
15 Discrete and Continuous Dynamical Systems. Series B
15 Fixed Point Theory and Applications
14 Applied Mathematics and Optimization
14 Optimization Methods & Software
13 Annals of Operations Research
11 Journal of Mathematical Imaging and Vision
11 Mathematical Problems in Engineering
11 Journal of Inequalities and Applications
11 SIAM Journal on Imaging Sciences
10 Applied Mathematics and Computation
10 Results in Mathematics
10 Calculus of Variations and Partial Differential Equations
10 Mediterranean Journal of Mathematics
10 Journal of Industrial and Management Optimization
9 Topology and its Applications
9 Operations Research Letters
9 Numerical Algorithms
9 Discrete and Continuous Dynamical Systems
9 Abstract and Applied Analysis
9 Discrete and Continuous Dynamical Systems. Series S
8 Mathematics of Operations Research
8 Journal of Mathematical Sciences (New York)
8 Journal of Function Spaces
7 Top
7 Journal of the Australian Mathematical Society
7 Journal of Nonlinear Science and Applications
6 Inverse Problems
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Proceedings of the American Mathematical Society
6 Journal of Scientific Computing
6 European Journal of Operational Research
6 Computational and Applied Mathematics
6 Mathematical Methods of Operations Research
6 Boundary Value Problems
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Mathematical Economics
5 Linear Algebra and its Applications
5 Advances in Computational Mathematics
5 Communications in Contemporary Mathematics
5 Nonlinear Analysis. Real World Applications
5 Mathematical Control and Related Fields
5 Journal of Nonlinear and Variational Analysis
4 Mathematical Methods in the Applied Sciences
4 Beiträge zur Algebra und Geometrie
4 Journal of Functional Analysis
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Transactions of the American Mathematical Society
4 Asia-Pacific Journal of Operational Research
4 SIAM Journal on Mathematical Analysis
4 SIAM Journal on Scientific Computing
4 Applied and Computational Harmonic Analysis
4 International Journal of Theoretical and Applied Finance
4 Journal of Dynamical and Control Systems
4 Differential Equations
4 Communications on Pure and Applied Analysis
4 Advances in Difference Equations
4 Symmetry
4 Evolution Equations and Control Theory
3 Acta Mathematica Vietnamica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Automatica
3 Journal of Computational and Applied Mathematics
3 Systems & Control Letters
3 Acta Applicandae Mathematicae
3 Topological Methods in Nonlinear Analysis
3 Finance and Stochastics
3 Taiwanese Journal of Mathematics
3 Foundations of Computational Mathematics
3 4OR
3 Inverse Problems and Imaging
3 Numerical Algebra, Control and Optimization
3 Journal of the Operations Research Society of China
2 International Journal of Control
2 Indian Journal of Pure & Applied Mathematics
2 Israel Journal of Mathematics
2 Mathematical Notes
2 Russian Mathematical Surveys
2 Ukrainian Mathematical Journal
2 Mathematics of Computation
2 Archiv der Mathematik
2 Calcolo
...and 166 more Journals
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Cited in 48 Fields

834 Operations research, mathematical programming (90-XX)
746 Calculus of variations and optimal control; optimization (49-XX)
400 Operator theory (47-XX)
287 Numerical analysis (65-XX)
167 Partial differential equations (35-XX)
154 Ordinary differential equations (34-XX)
124 General topology (54-XX)
102 Functional analysis (46-XX)
100 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
84 Real functions (26-XX)
80 Global analysis, analysis on manifolds (58-XX)
64 Systems theory; control (93-XX)
58 Dynamical systems and ergodic theory (37-XX)
52 Convex and discrete geometry (52-XX)
46 Computer science (68-XX)
43 Measure and integration (28-XX)
43 Information and communication theory, circuits (94-XX)
26 Mechanics of deformable solids (74-XX)
19 Statistics (62-XX)
17 Probability theory and stochastic processes (60-XX)
16 Approximations and expansions (41-XX)
16 Biology and other natural sciences (92-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
11 Fluid mechanics (76-XX)
10 Difference and functional equations (39-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Differential geometry (53-XX)
8 Mechanics of particles and systems (70-XX)
7 Algebraic topology (55-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 General and overarching topics; collections (00-XX)
5 Mathematical logic and foundations (03-XX)
5 Nonassociative rings and algebras (17-XX)
5 Integral equations (45-XX)
4 Geometry (51-XX)
3 History and biography (01-XX)
3 Topological groups, Lie groups (22-XX)
3 Optics, electromagnetic theory (78-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-XX)
2 Category theory; homological algebra (18-XX)
2 Geophysics (86-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)

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