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Set-Valued Analysis

An International Journal Devoted to the Theory of Multifunctions and Its Applications

Short Title: Set-Valued Anal.
Publisher: Springer, Dordrecht
ISSN: 0927-6947; 1572-932X/e
Online: http://link.springer.com/journal/volumesAndIssues/11228
Successor: Set-Valued and Variational Analysis
Comments: Journal; No longer indexed
Documents Indexed: 391 Publications (1993–2008)
References Indexed: 226 Publications with 5,002 References.
all top 5

Authors

10 Borwein, Jonathan Michael
9 Penot, Jean-Paul
6 Beer, Gerald Alan
6 Gutev, Valentin Goutev
6 Svaiter, Benar Fux
6 Valero, José
5 Aubin, Jean-Pierre
5 Dontchev, Asen L.
5 Frankowska, Hélène
5 Kloeden, Peter Eris
5 Levin, Vladimir L’vovich
5 Lewis, Adrian S.
5 Seeger, Alberto
5 Théra, Michel A.
4 Artstein, Zvi
4 Castaing, Charles
4 Doyen, Luc
4 Hess, Christian
4 Holá, Ľubica
4 Ioffe, Alexander Davidovich
4 Levy, Adam B.
4 Melnik, Valery S.
4 Monteiro Marques, Manuel D. P.
4 Outrata, Jiří V.
4 Repovš, Dušan D.
4 Roberto, Lucchetti E.
4 Rockafellar, Ralph Tyrrell
4 Saint-Pierre, Patrick
4 Simons, Stephen
4 Takahashi, Wataru
4 Thibault, Lionel
4 Tolstonogov, Aleksandr Aleksandrovich
4 Veliov, Vladimir M.
3 Alber, Yakov I.
3 Attouch, Hedy
3 Azé, Dominique
3 Baier, Robert
3 Burachik, Regina Sandra
3 Cabot, Alexandre
3 Cánovas, María Josefa
3 Dinh The Luc
3 Farkhi, Elza M.
3 Goberna, Miguel Angel
3 Jourani, Abderrahim
3 Kryszewski, Wojciech
3 Levi, Sandro
3 López-Cerdá, Marco Antonio
3 Marano, Salvatore Angelo
3 Mattioli, Juliette
3 McCoy, Robert A.
3 Mordukhovich, Boris S.
3 Motreanu, Dumitru
3 Papageorgiou, Nikolaos S.
3 Parra, Juan
3 Phan Quôc Khánh
3 Revalski, Julian Petrov
3 Robinson, Stephen M.
3 Rubinov, Aleksandr Moiseevich
3 Semenov, Pavel Vladimirovič
3 Sendov, Hristo S.
3 Staicu, Vasile
3 Vanderwerff, Jon D.
3 Verona, Andrei
3 Verona, Maria Elena
3 Vladimirov, Aleksandr Aleksandrovich
3 Wang, Shawn Xianfu
3 Nguyen Dong Yen
3 Zagrodny, Dariusz
3 Zaslavski, Alexander Yakovlevich
3 Zhu, Qiji Jim
2 Andres, Jan
2 Anh, Lam Quoc
2 Aragón Artacho, Francisco Javier
2 Bacciotti, Andrea
2 Bader, Ralf
2 Bauschke, Heinz H.
2 Bounkhel, Messaoud
2 Bressan, Alberto
2 Caraballo Garrido, Tomás
2 Costantini, Camillo
2 Daniilidis, Aris
2 Diamond, Phil
2 Eberhard, Andrew C.
2 Edmond, Jean Fenel
2 Fabian, Marián J.
2 Flåm, Sjur Didrik
2 Gajardo, Pedro
2 Galbraith, Grant N.
2 Geoffroy, Michel H.
2 Georgiev, Pando Grigorov
2 Giles, John R.
2 Goebel, Rafal
2 Grammel, Götz
2 Henrion, René
2 Huynh Van Ngai
2 Indumathi, V.
2 Iusem, Alfredo Noel
2 Jeyakumar, Vaithilingam
2 Jüttner, Libor
2 Kamimura, Shoji
...and 311 more Authors

Publications by Year

Citations contained in zbMATH Open

357 Publications have been cited 5,697 times in 4,352 Documents Cited by Year
Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization. Zbl 1156.90426
Maingé, Paul-Emile
458
2008
An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping. Zbl 0991.65056
Alvarez, Felipe; Attouch, Hedy
406
2001
On attractors of multivalued semi-flows and differential inclusions. Zbl 0915.58063
Mel’nik, Valery S.; Valero, José
171
1998
A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator. Zbl 0959.90038
Solodov, M. V.; Svaiter, B. F.
129
1999
On the convergence of von Neumann’s alternating projection algorithm for two sets. Zbl 0801.47042
Bauschke, H. H.; Borwein, J. M.
117
1993
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
115
2004
Regularization of nonlinear ill-posed variational inequalities and convergence rates. Zbl 0924.49009
Liu, Fengshan; Nashed, M. Zuhair
110
1998
Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Zbl 1018.37048
Caraballo, T.; Langa, J. A.; Melnik, V. S.; Valero, J.
107
2003
On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013
Ioffe, Alexander D.; Outrata, Jiří V.
97
2008
Fine properties of sets of finite perimeter in doubling metric measure spaces. Zbl 1037.28002
Ambrosio, Luigi
94
2002
Enlargement of monotone operators with applications to variational inequalities. Zbl 0882.90105
Burachik, Regina S.; Iusem, Alfredo N.; Svaiter, B. F.
92
1997
Necessary conditions for free end-time, measurably time dependent optimal control problems with state constraints. Zbl 0967.49017
Vinter, R. B.; Zheng, H.
62
2000
Inertial iterative process for fixed points of certain quasi-nonexpansive mappings. Zbl 1129.47054
Maingé, Paul-Emile
58
2007
Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143
Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V.
58
2007
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
57
2008
Evolution equations governed by the sweeping process. Zbl 0813.34018
Castaing, C.; Dúc Hā, Trúóng Xuân; Valadier, M.
56
1993
Newton’s method for a class of nonsmooth functions. Zbl 0804.65062
Robinson, Stephen M.
54
1994
A comparison between two theories for multi-valued semiflows and their asymptotic behaviour. Zbl 1053.47050
Caraballo, T.; Marín-Rubio, P.; Robinson, J. C.
54
2003
The sweeping processes without convexity. Zbl 0957.34060
Colombo, Giovanni; Goncharov, Vladimir V.
53
1999
Maximal monotone operators, convex functions and a special family of enlargements. Zbl 1033.47036
Burachik, Regina Sandra; Svaiter, B. F.
52
2002
Weak and strong convergence of solutions to accretive operator inclusions and applications. Zbl 0981.47036
Kamimura, Shoji; Takahashi, Wataru
51
2000
Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036
Martínez-Legaz, J.-E.; Svaiter, B. F.
51
2005
Linearized elasticity as \(\Gamma\)-limit of finite elasticity. Zbl 1009.74008
Dal Maso, G.; Negri, M.; Percivale, D.
51
2002
About regularity of collections of sets. Zbl 1141.49020
Kruger, A. Ya.
50
2006
Extension of subgradient techniques for nonsmooth optimization in Banach spaces. Zbl 1049.90123
Alber, Ya. I.; Iusem, A. N.
49
2001
Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization. Zbl 1058.49017
Huynh Van Ngai; Théra, Michel
43
2004
\(\varepsilon\)-enlargements of maximal monotone operators in Banach spaces. Zbl 0948.47050
Burachik, Regina Sandra; Svaiter, B. F.
42
1999
Metric inequality, subdifferential calculus and applications. Zbl 1024.49017
Huynh Van Ngai; Théra, Michel
42
2001
Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. II. Lower semicontinuities applications. Zbl 1156.90443
Anh, Lam Quoc; Khanh, Phan Quoc
42
2008
\(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems. Zbl 0847.54019
Tolstonogov, A. A.; Tolstonogov, D. A.
41
1996
Nonsmooth analysis of singular values. I: Theory. Zbl 1129.49025
Lewis, Adrian S.; Sendov, Hristo S.
40
2005
On the coderivative of the projection operator onto the second-order cone. Zbl 1161.49011
Outrata, Jiří V.; Sun, Defeng
40
2008
Weak and strong convergence theorems for maximal monotone operators in a Banach space. Zbl 1078.47050
Kamimura, Shoji; Kohsaka, Fumiaki; Takahashi, Wataru
40
2004
Wijsman convergence: A survey. Zbl 0812.54014
Beer, Gerald
38
1994
A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014
Rockafellar, R. T.; Zagrodny, D.
37
1997
Homotopical stability of isolated critical points of continuous functionals. Zbl 1008.58011
Corvellec, J.-N.; Hantoute, A.
37
2002
Nonsmooth analysis of singular values. II: Applications. Zbl 1129.49026
Lewis, Adrian S.; Sendov, Hristo S.
36
2005
\(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems. Zbl 0861.54019
Tolstonogov, A. A.; Tolstonogov, D. A.
36
1996
BV solutions to evolution problems with time-dependent domains. Zbl 0880.34017
Kunze, M.; Monteiro Marques, M. D. P.
36
1997
Mutational equations in metrics spaces. Zbl 0784.34015
Aubin, Jean-Pierre
36
1993
On the Pettis integral of closed valued multifunctions. Zbl 0974.28009
El Amri, Khadija; Hess, Christian
33
2000
Implicit multifunction theorems. Zbl 0952.49017
Ledyaev, Yuri S.; Zhu, Qiji J.
32
1999
Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. I: Upper semicontinuities. Zbl 1192.90208
Anh, Lam Quoc; Khanh, Phan Quoc
31
2008
On attractors for multivalued semigroups defined by generalized semiflows. Zbl 1143.35310
Simsen, Jacson; Gentile, Cláudia B.
30
2008
On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions. Zbl 1063.35040
Melnik, Valery S.; Valero, José
29
2000
Nonconvex differential calculus for infinite-dimensional multifunctions. Zbl 0866.49024
Mordukhovich, Boris S.; Shao, Yongheng
28
1996
Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem. Zbl 0934.54013
Levin, Vladimir
27
1999
Fixed-point index for compositions of set-valued maps with proximally \(\infty\)-connected values on arbitrary ANR’s. Zbl 0846.55001
Bader, Ralf; Kryszewski, Wojciech
27
1994
Set-valued Kurzweil-Henstock-Pettis integral. Zbl 1100.28008
Di Piazza, L.; Musiał, K.
27
2005
A simple ‘finite approximations’ proof of the Pontryagin maximum principle under reduced differentiability hypotheses. Zbl 1046.49014
Arutyunov, Aram V.; Vinter, Richard B.
26
2004
Existence results on the second-order nonconvex sweeping processes with perturbations. Zbl 1048.49002
Bounkhel, Messaoud; Azzam, Dalila-Laouir
25
2004
Prox-regularity of functions and sets in Banach spaces. Zbl 1046.49009
Bernard, Frédéric; Thibault, Lionel
25
2004
A calculus for set-valued maps and set-valued evolution equations. Zbl 0856.49016
Artstein, Zvi
24
1995
BV periodic solutions of an evolution problem associated with continuous moving convex sets. Zbl 0845.35142
Castaing, Charles; Monteiro Marques, Manuel D. P.
24
1995
Compactness properties, openness criteria and coderivatives. Zbl 0932.49019
Penot, Jean-Paul
24
1998
An existence theorem for generalized quasi-variational inequalities. Zbl 0781.49006
Cubiotti, Paolo
24
1993
Second-order optimality conditions in generalized semi-infinite programming. Zbl 0984.90056
Rückmann, Jan-J.; Shapiro, Alexander
23
2001
A family of enlargements of maximal monotone operators. Zbl 0977.47042
Svaiter, B. F.
22
2000
Non-convex quasi-variational differential inclusions. Zbl 1134.34036
Chemetov, N.; Marques, M. D. P. Monteiro
22
2007
Metric regularity and subdifferential calculus in Banach spaces. Zbl 0854.49015
Jourani, A.; Thibault, L.
21
1995
Second-order subdifferentials of \(C^{1,1}\) functions and optimality conditions. Zbl 0864.49012
Georgiev, Pando Gr.; Zlateva, Nadia P.
21
1996
Spaces of densely continuous forms. Zbl 0892.54009
Hammer, S. T.; McCoy, R. A.
21
1997
On the Fell topology. Zbl 0810.54010
Beer, Gerald
21
1993
Convexity of nonlinear image of a small ball with applications to optimization. Zbl 1006.52001
Polyak, B. T.
20
2001
The equivalence of several basic theorems for subdifferentials. Zbl 0917.49017
Zhu, Qiji J.
20
1998
Convergence of the efficient sets. Zbl 0803.49015
Dinh The Luc; Lucchetti, R.; Maliverti, C.
20
1994
On the subdifferentiability of the difference of two functions and local minimization. Zbl 1165.26307
Amahroq, Tijani; Penot, Jean-Paul; Syam, Aïcha
19
2008
Towards fully discretized differential inclusions. Zbl 1024.34007
Grammel, G.
19
2003
Spaces of densely continuous forms, USCO and minimal USCO maps. Zbl 1022.54012
Holá, Ľ.
19
2003
Regularization of nonconvex sweeping process in Hilbert space. Zbl 1162.34010
Thibault, Lionel
18
2008
Optimization and stability results through cone lower semicontinuity. Zbl 0892.90153
Ferro, F.
18
1997
Proximal analysis in smooth spaces. Zbl 0858.49015
Borwein, Jonathan M.; Ioffe, Alexander
18
1996
Differences of convex compact sets in the space of directed sets. I: The space of directed sets. Zbl 1097.49507
Baier, Robert; Farkhi, Elza M.
18
2001
Necessary conditions in nonsmooth minimization via lower and upper subgradients. Zbl 1046.49011
Mordukhovich, Boris S.
18
2004
On the stability of the boundary of the feasible set in linear optimization. Zbl 1034.49029
Goberna, Miguel A.; Larriqueta, Mercedes; Vera de Serio, Virginia N.
18
2003
On metric boundedness structures. Zbl 0951.54025
Beer, Gerald
17
1999
Fuzzy principles and characterization of trustworthiness. Zbl 0927.49009
Ioffe, Alexander
17
1998
Generic existence of fixed points for set-valued mappings. Zbl 1010.47029
Reich, Simeon; Zaslavski, Alexander J.
16
2002
Multivalued contractions. Zbl 0820.47065
Saint Raymond, J.
16
1994
The sum and chain rules for maximal monotone operators. Zbl 1188.47041
Voisei, M. D.
16
2008
Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151
Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander
16
1997
Calculus for parabolic second-order derivatives. Zbl 0797.58014
Ward, Doug
16
1993
Optimality conditions and synthesis for the minimum time problem. Zbl 0988.49010
Cannarsa, Piermarco; Frankowska, Hélène; Sinestrari, Carlo
15
2000
Criteria for the metric generalized inverse and its selections in Banach spaces. Zbl 1148.47003
Hudzik, Henryk; Wang, Yuwen; Zheng, Wenjing
14
2008
Lyapunov sequences and a turnpike theorem without convexity. Zbl 0917.90051
Dzalilov, Z.; Rubinov, A. M.; Kloeden, P. E.
14
1998
Upper semicontinuity of the feasible set mapping for linear inequality systems. Zbl 1080.90076
Cánovas, M. J.; López, M. A.; Parra, J.
14
2002
Regularization of monotone variational inequalities with Mosco approximations of the constraint sets. Zbl 1129.49003
Alber, Yakov; Butnariu, Dan; Ryazantseva, Irina
14
2005
Necessary and sufficient conditions for viability for nonlinear evolution inclusions. Zbl 1179.34068
Cârjă, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
14
2008
Multiplicity results for an eigenvalue problem for hemivariational inequalities in strip-like domains. Zbl 1080.35058
Kristály, Alexandru
14
2005
\(\varepsilon\)-subdifferentials in terms of subdifferentials. Zbl 0870.47032
Martinez-Legaz, Juan-Enrique; Théra, Michel
14
1996
Perturbed unstable variational inequalities with unbounded operators on approximately given sets. Zbl 0815.49010
Alber, Ya. I.; Notik, A. I.
14
1993
A geometric characterization of viable sets for controlled degenerate diffusions. Zbl 1031.93160
Bardi, Martino; Jensen, Robert
14
2002
Some properties of maximal monotone operators on nonreflexive Banach spaces. Zbl 0822.47047
Fitzpatrick, S. P.; Phelps, R. R.
13
1995
Elliptic boundary-value problems with discontinuous nonlinearities. Zbl 0843.35034
Marano, Salvatore A.
13
1995
Differences of convex compact sets in the space of directed sets. II: Visualization of directed sets. Zbl 1097.49508
Baier, Robert; Farkhi, Elza M.
13
2001
Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
13
2000
Localized normal maps and the stability of variational conditions. Zbl 1066.47064
Robinson, Stephen M.
13
2004
Perturbations and metric regularity. Zbl 1086.49020
Dontchev, A. L.; Lewis, A. S.
13
2005
Singularly perturbed differential inclusions: An averaging approach. Zbl 0864.34010
Grammel, Götz
13
1996
Modified continuity and a generalisation of Michael’s selection theorem. Zbl 0805.54018
Giles, J. R.; Bartlett, M. O.
13
1993
Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization. Zbl 1156.90426
Maingé, Paul-Emile
458
2008
On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013
Ioffe, Alexander D.; Outrata, Jiří V.
97
2008
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
57
2008
Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. II. Lower semicontinuities applications. Zbl 1156.90443
Anh, Lam Quoc; Khanh, Phan Quoc
42
2008
On the coderivative of the projection operator onto the second-order cone. Zbl 1161.49011
Outrata, Jiří V.; Sun, Defeng
40
2008
Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. I: Upper semicontinuities. Zbl 1192.90208
Anh, Lam Quoc; Khanh, Phan Quoc
31
2008
On attractors for multivalued semigroups defined by generalized semiflows. Zbl 1143.35310
Simsen, Jacson; Gentile, Cláudia B.
30
2008
On the subdifferentiability of the difference of two functions and local minimization. Zbl 1165.26307
Amahroq, Tijani; Penot, Jean-Paul; Syam, Aïcha
19
2008
Regularization of nonconvex sweeping process in Hilbert space. Zbl 1162.34010
Thibault, Lionel
18
2008
The sum and chain rules for maximal monotone operators. Zbl 1188.47041
Voisei, M. D.
16
2008
Criteria for the metric generalized inverse and its selections in Banach spaces. Zbl 1148.47003
Hudzik, Henryk; Wang, Yuwen; Zheng, Wenjing
14
2008
Necessary and sufficient conditions for viability for nonlinear evolution inclusions. Zbl 1179.34068
Cârjă, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
14
2008
Normal fans of polyhedral convex sets. Zbl 1144.52008
Lu, Shu; Robinson, Stephen M.
12
2008
Partial exact penalty for mathematical programs with equilibrium constraints. Zbl 1170.65052
Liu, Guoshan; Ye, Jane; Zhu, Jiaping
12
2008
Addendum to: “On attractors of multivalued semi-flows and differential inclusions”. (Addendum to: “On attractors of multivalued semiflows and differential inclusions”.) Zbl 1172.35331
Melnik, V. S.; Valero, J.
11
2008
On the dynamics of nonautonomous general dynamical systems and differential inclusions. Zbl 1187.37026
Li, Desheng; Wang, Yejuan; Wang, Suyun
11
2008
Bifurcations of asymptotically autonomous differential equations. Zbl 1175.34051
Rasmussen, Martin
11
2008
Sensitivity of solutions to a parametric generalized equation. Zbl 1156.90437
Huy, N. Q.; Lee, G. M.
11
2008
Embeddings of bornological universes. Zbl 1171.54012
Beer, Gerald
9
2008
An application of the bivariate inf-convolution formula to enlargements of monotone operators. Zbl 1188.47040
Boţ, Radu Ioan; Csetnek, Ernö Robert
9
2008
On implicit multifunction theorems. Zbl 1159.47037
Azé, D.; Benahmed, S.
8
2008
Lagrange multipliers for multiobjective programs with a general preference. Zbl 1191.90053
Bellaassali, S.; Jourani, A.
8
2008
Gap, excess and bornological convergence. Zbl 1165.54002
Beer, Gerald; Levi, Sandro
8
2008
On the index of solvability for variational inequalities in Banach spaces. Zbl 1148.47046
Benedetti, Irene; Obukhovskii, Valeri
7
2008
On the Lipschitz modulus of the argmin mapping in linear semi-infinite optimization. Zbl 1156.90448
Cánovas, M. J.; Gómez-Senent, F. J.; Parra, J.
7
2008
Relaxation results for hybrid inclusions. Zbl 1169.37017
Cai, Chaohong; Goebel, Rafal; Teel, Andrew R.
7
2008
Viability with probabilistic knowledge of initial condition, application to optimal control. Zbl 1161.49009
As Soulaimani, S.
7
2008
Representations of affine multifunctions by affine selections. Zbl 1147.54010
Gorokhovik, Valentin V.
6
2008
Viability for differential inclusions on graphs. Zbl 1182.34083
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
6
2008
A remark on the existence of solutions to nonlinear equations with degenerate mappings. Zbl 1154.47050
Prusińska, Agnieszka; Tret’yakov, Alexey
5
2008
Localization of generalized normal maps and stability of variational inequalities in reflexive Banach spaces. Zbl 1210.47089
Kien, Bui Trong; Yao, Jen-Chih
5
2008
Positive solutions for nonlinear periodic problems with the scalar \(p\)-Laplacian. Zbl 1172.34005
Denkowski, Zdzisław; Gasiński, Leszek; Papageorgiou, Nikolaos S.
5
2008
A Peano type theorem for a class of nonconvex-valued differential inclusions. Zbl 1170.34308
Goblet, Jordan
5
2008
Gap continuity of multimaps. Zbl 1173.54009
Penot, Jean-Paul
4
2008
A characterization of maximal monotone operators. Zbl 1207.47050
Löhne, Andreas
4
2008
A generalized proximal point algorithm and implicit iterative schemes for a sequence of operators on Banach spaces. Zbl 1169.47050
Kimura, Yasunori; Takahashi, Wataru
4
2008
Eigenvalue problems for hemivariational inequalities. Zbl 1166.35356
Papageorgiou, Nikolaos S.; Andrade Santos, Sandrina Rafaela; Staicu, Vasile
4
2008
Lower semicontinuity of the solution map to a parametric generalized variational inequality in reflexive Banach spaces. Zbl 1210.47088
Kien, B. T.
4
2008
Applications of general infimum principles to fixed-point theory and game theory. Zbl 1158.91423
Kulpa, Władysław; Szymanski, Andrzej
3
2008
Boundedly UC spaces and topologies on function spaces. Zbl 1166.54005
Brandi, P.; Ceppitelli, R.; Holá, Ľ.
3
2008
Existence of exact penalty and its stability for nonconvex constrained optimization problems in Banach spaces. Zbl 1162.49039
Zaslavski, Alexander J.
3
2008
Relaxation of a Bolza problem governed by a time-delay sweeping process. Zbl 1194.49003
Edmond, Jean Fenel
3
2008
Generalizing mutational equations for uniqueness of some nonlocal first-order geometric evolutions. Zbl 1133.49017
Lorenz, Thomas
2
2008
On partially ordered semigroups and an abstract set-difference. Zbl 1145.06007
Pallaschke, D.; Przybycień, H.; Urbański, R.
2
2008
Slice-continuous sets in reflexive Banach spaces: some complements. Zbl 1234.52003
Ernst, Emil; Théra, Michel
2
2008
\(p\)-Laplacian inclusions via fixed points for multifunctions in posets. Zbl 1166.35388
Carl, Siegfried; Heikkilä, Seppo
2
2008
The convexity of the closure of the domain and the range of a maximal monotone multifunction of type NI. Zbl 1173.47031
Zagrodny, Dariusz
2
2008
Asymptotic compactness and attractors for phase-field equations in \(\mathbb R^{3}\). Zbl 1173.35370
Morillas, Francisco; Valero, José
2
2008
Second order cones for maximal monotone operators via representative functions. Zbl 1152.47036
Eberhard, A. C.; Borwein, J. M.
1
2008
Vector majorization and a robust option replacement trading strategy. Zbl 1151.91554
Zhu, Q. J.
1
2008
A multivalued approach to the planar isosceles three-body problem. Zbl 1159.70008
Chiralt, Cristina; Marco, Luis; Martínez-Alfaro, José
1
2008
Stability of the feasible set mapping of linear systems with an exact constraint set. Zbl 1161.49022
Amaya, Jorge; Bosch, Paul; Goberna, Miguel A.
1
2008
Fixed points and zeros for set valued mappings on Riemannian manifolds: a subdifferential approach. Zbl 1161.49010
Azagra, Daniel; Ferrera, Juan; Sanz, Beatriz
1
2008
Existence of solutions for a class of nonvariational quasilinear periodic problems. Zbl 1172.34006
Jebelean, Petru; Papageorgiou, Nikolaos S.
1
2008
On a separation principle for nonconvex sets. Zbl 1161.65045
Li, Guoyin; Tang, Chunming; Yu, Gaohang; Wei, Zengxin
1
2008
Inertial iterative process for fixed points of certain quasi-nonexpansive mappings. Zbl 1129.47054
Maingé, Paul-Emile
58
2007
Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143
Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V.
58
2007
Non-convex quasi-variational differential inclusions. Zbl 1134.34036
Chemetov, N.; Marques, M. D. P. Monteiro
22
2007
Generalized Jacobian for functions with infinite dimensional range and domain. Zbl 1211.49019
Páles, Zsolt; Zeidan, Vera
11
2007
Regularity of solution maps of differential inclusions under state constraints. Zbl 1126.34011
Bettiol, Piernicola; Frankowska, Hélène
10
2007
Regularity and integration of set-valued maps represented by generalized Steiner points. Zbl 1144.28005
Baier, Robert; Farkhi, Elza
9
2007
Continuity of the solution map in parametric affine variational inequalities. Zbl 1119.49010
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
9
2007
Completeness, sections and selections. Zbl 1140.54003
Gutev, Valentin
7
2007
Convex difference criteria for the quantitative stability of parametric quasidifferentiable systems. Zbl 1156.90018
Uderzo, A.
6
2007
Metric projections and polyhedral spaces. Zbl 1133.46008
Indumathi, V.
5
2007
A convex-analytical approach to extension results for \(n\)-cyclically monotone operators. Zbl 1133.47037
Bauschke, Heinz H.; Wang, Xianfu
5
2007
On some concepts of generalized differentials. Zbl 1118.49010
Piccoli, Benedetto; Girejko, Ewa
4
2007
Existence theorems for set-valued operators in Banach spaces. Zbl 1133.47035
Matsushita, Shin-ya; Takahashi, Wataru
4
2007
On the parametrized integral of a multifunction: the unbounded case. Zbl 1127.28009
Hess, Christian
3
2007
Conic set-valued maps in vector optimization. Zbl 1156.90016
Jiménez Guerra, Pedro; Melguizo, Miguel Angel; Muñoz-Bouzo, María J.
2
2007
Lipschitzian properties of integral functionals on Lebesgue spaces \(L_p, 1 \leqslant p < \infty\). Zbl 1144.26006
Giner, Emmanuel
2
2007
On the calculus of limiting subhessians. Zbl 1138.49019
Eberhard, A.; Wenczel, R.
2
2007
On the inner and outer norms of sublinear mappings. Zbl 1156.49015
Aragón Artacho, F. J.; Dontchev, A. L.
1
2007
Existence of exact penalty for constrained optimization problems in metric spaces. Zbl 1152.49034
Zaslavski, Alexander J.
1
2007
A dual criterion for maximal monotonicity of composition operators. Zbl 1133.47039
Jeyakumar, V.; Wu, Z. Y.
1
2007
About regularity of collections of sets. Zbl 1141.49020
Kruger, A. Ya.
50
2006
Sharp minima for multiobjective optimization in Banach spaces. Zbl 1103.49009
Zheng, X. Y.; Yang, X. M.; Teo, K. L.
12
2006
An inertial proximal algorithm with dry friction: finite convergence results. Zbl 1102.65063
Baji, Bruno; Cabot, Alexandre
11
2006
Clarke generalized Jacobian of the projection onto the cone of positive semidefinite matrices. Zbl 1100.49033
Malick, Jérôme; Sendov, Hristo S.
11
2006
Stability of a cubically convergent method for generalized equations. Zbl 1100.49020
Geoffroy, Michel H.; Hilout, Saïd; Piétrus, Alain
9
2006
Semifixed sets of maps in hyperspaces with application to set differential equations. Zbl 1110.47040
de Blasi, F. S.
8
2006
Reynold’s transport theorem for differential inclusions. Zbl 1111.34013
Lorenz, Thomas
5
2006
Delay perturbed sweeping process. Zbl 1122.34060
Edmond, Jean Fenel
5
2006
Supercalm multifunctions for convergence analysis. Zbl 1100.49021
Levy, Adam B.
5
2006
Multivalued exponentiation analysis. I: Maclaurin exponentials. Zbl 1113.26026
Cabot, Alexandre; Seeger, Alberto
4
2006
Strong analyticity of partly filled-in composite Julia sets. Zbl 1101.37037
Klimek, Maciej; Kosek, Marta
3
2006
Exponentiating a bundle of linear operators. Zbl 1113.47037
Amri, Amine; Seeger, Alberto
3
2006
Some properties of general minimization problems with constraints. Zbl 1103.49007
Le, Vy K.; Motreanu, Dumitru
3
2006
Generalized differential inclusions in Banach spaces. Zbl 1108.34055
Tabor, Jacek
2
2006
Extensions by means of expansions and selections. Zbl 1114.54014
Gutev, Valentin; Ohta, Haruto; Yamazaki, Kaori
2
2006
Regularity and the Brøndsted-Rockafellar properties of maximal monotone operators. Zbl 1112.47045
Verona, Andrei; Verona, Maria Elena
2
2006
Multivalued exponentiation analysis. II: Recursive exponetials. Zbl 1113.26027
Cabot, Alexandre; Seeger, Alberto
2
2006
Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036
Martínez-Legaz, J.-E.; Svaiter, B. F.
51
2005
Nonsmooth analysis of singular values. I: Theory. Zbl 1129.49025
Lewis, Adrian S.; Sendov, Hristo S.
40
2005
Nonsmooth analysis of singular values. II: Applications. Zbl 1129.49026
Lewis, Adrian S.; Sendov, Hristo S.
36
2005
Set-valued Kurzweil-Henstock-Pettis integral. Zbl 1100.28008
Di Piazza, L.; Musiał, K.
27
2005
Regularization of monotone variational inequalities with Mosco approximations of the constraint sets. Zbl 1129.49003
Alber, Yakov; Butnariu, Dan; Ryazantseva, Irina
14
2005
Multiplicity results for an eigenvalue problem for hemivariational inequalities in strip-like domains. Zbl 1080.35058
Kristály, Alexandru
14
2005
Perturbations and metric regularity. Zbl 1086.49020
Dontchev, A. L.; Lewis, A. S.
13
2005
Attractors of weakly asymptotically compact set-valued dynamical systems. Zbl 1088.37002
Kloeden, P. E.; Valero, J.
12
2005
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Cited by 3,580 Authors

91 Yao, Jen-Chih
67 Kumam, Poom
65 Shehu, Yekini
51 Mordukhovich, Boris S.
47 Zegeye, Habtu
45 Valero, José
43 Cho, Yeol Je
43 Jolaoso, Lateef Olakunle O.
42 Cholamjiak, Prasit
42 Penot, Jean-Paul
41 Kruger, Alexander Y.
38 Mewomo, Oluwatosin Temitope
35 Wang, Bixiang
34 Ceng, Lu-Chuan
33 Holá, Ľubica
33 Tolstonogov, Aleksandr Aleksandrovich
32 Dương Việt Thông
32 Zaslavski, Alexander Yakovlevich
30 Boţ, Radu Ioan
29 Attouch, Hedy
29 Reich, Simeon
29 Shahzad, Naseer
28 Dong, Qiaoli
28 Lahti, Panu
27 Kapustyan, Oleksiy V.
27 Phan Quôc Khánh
27 Svaiter, Benar Fux
27 Thibault, Lionel
26 Borwein, Jonathan Michael
26 Kasyanov, Pavlo O.
24 Rehman, Habib Ur
24 Wang, Shawn Xianfu
23 López-Cerdá, Marco Antonio
23 Suantai, Suthep
22 Adly, Samir
22 Andres, Jan
22 Bauschke, Heinz H.
22 Caraballo Garrido, Tomás
22 Csetnek, Ernö Robert
22 Eslamian, Mohammad
22 Kloeden, Peter Eris
22 Noor, Muhammad Aslam
22 Outrata, Jiří V.
21 Gfrerer, Helmut
21 Izuchukwu, Chinedu
21 Simsen, Jacson
20 Goberna, Miguel Angel
20 Liou, Yeongcheng
20 Théra, Michel A.
19 Dang Van Hieu
19 Huang, Nan-Jing
19 Takahashi, Wataru
19 Yao, Yonghong
19 Ye, Jane J.
18 Azzam-Laouir, Dalila
18 Huynh Van Ngai
18 Iyiola, Olaniyi Samuel
18 Li, Shengjie
18 Lorenz, Thomas
18 Shanmugalingam, Nageswari
18 Sunthrayuth, Pongsakorn
17 Beer, Gerald Alan
17 Frankowska, Hélène
17 Iusem, Alfredo Noel
17 Trương Minh Tuyên
16 Cubiotti, Paolo
16 Donchev, Tzanko Donchev
16 Durea, Marius
16 Gibali, Aviv
16 Lin, Lai-Jiu
16 Papageorgiou, Nikolaos S.
16 Ulusu, Uǧur
16 Wang, Yejuan
16 Zheng, Xiyin
15 Castaing, Charles
15 Geoffroy, Michel H.
15 Jourani, Abderrahim
15 Khan, Akhtar Ali
15 Marín-Rubio, Pedro
15 Martínez-Legaz, Juan-Enrique
15 Pastor, Karel
15 Quincampoix, Marc
15 Ugwunnadi, Godwin Chidi
14 Alves, M. Marques
14 Ioffe, Alexander Davidovich
14 Thao, Nguyen Hieu
14 Uderzo, Amos
13 Alakoya, Timilehin Opeyemi
13 Boikanyo, Oganeditse Aaron
13 Cabot, Alexandre
13 Farkhi, Elza M.
13 Gutev, Valentin Goutev
13 Henrion, René
13 Holý, Dušan
13 Musial, Kazimierz
13 Okeke, Chibueze Christian
13 Pakkaranang, Nuttapol
13 Qin, Xiaolong
13 Sama, Miguel
13 Zălinescu, Constantin
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Cited in 450 Journals

231 Journal of Mathematical Analysis and Applications
229 Optimization
225 Journal of Optimization Theory and Applications
196 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
180 Set-Valued and Variational Analysis
111 Mathematical Programming. Series A. Series B
96 Set-Valued Analysis
95 Journal of Global Optimization
95 Fixed Point Theory and Applications
86 Journal of Inequalities and Applications
84 Numerical Functional Analysis and Optimization
84 SIAM Journal on Optimization
73 Topology and its Applications
69 Journal of Differential Equations
52 Abstract and Applied Analysis
49 Computational Optimization and Applications
49 Optimization Letters
45 Discrete and Continuous Dynamical Systems. Series B
44 Journal of Fixed Point Theory and Applications
42 Computational and Applied Mathematics
39 Applied Mathematics and Computation
36 Numerical Algorithms
34 Journal of Computational and Applied Mathematics
33 Applicable Analysis
33 Journal of Convex Analysis
33 Positivity
29 Rendiconti del Circolo Matemàtico di Palermo. Serie II
29 Vietnam Journal of Mathematics
26 Optimization Methods & Software
26 Journal of Industrial and Management Optimization
25 Journal of Applied Mathematics and Computing
25 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
24 SIAM Journal on Control and Optimization
24 Calculus of Variations and Partial Differential Equations
24 Journal of Applied Mathematics
23 Journal of Mathematical Sciences (New York)
22 Computers & Mathematics with Applications
22 Journal of Nonlinear and Variational Analysis
21 Transactions of the American Mathematical Society
21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
20 Applied Mathematics and Optimization
20 Discrete and Continuous Dynamical Systems
20 Nonlinear Analysis. Theory, Methods & Applications
19 Automatica
19 Proceedings of the American Mathematical Society
18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
18 Acta Mathematica Sinica. English Series
17 Archive for Rational Mechanics and Analysis
17 Journal of Functional Analysis
17 Systems & Control Letters
16 Journal of Nonlinear Science and Applications
16 Journal of Function Spaces
15 Bulletin of the Australian Mathematical Society
15 Journal of Approximation Theory
15 European Journal of Operational Research
15 Filomat
15 Mathematical Methods of Operations Research
15 Mediterranean Journal of Mathematics
14 Demonstratio Mathematica
14 Applied Mathematics Letters
14 Stochastics and Dynamics
13 Mathematics of Operations Research
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Annals of Operations Research
12 Linear Algebra and its Applications
12 Journal of Applied Analysis
12 Nonlinear Analysis. Real World Applications
12 Nonlinear Functional Analysis and Applications
12 Thai Journal of Mathematics
11 Fuzzy Sets and Systems
11 Mathematica Slovaca
11 Stochastic Analysis and Applications
11 Acta Applicandae Mathematicae
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Journal of Mathematical Physics
10 Mathematical Methods in the Applied Sciences
10 Rocky Mountain Journal of Mathematics
10 Journal of Scientific Computing
10 The Journal of Geometric Analysis
10 International Journal of Computer Mathematics
10 Top
9 Mathematical Notes
9 Journal of Mathematical Economics
9 Siberian Mathematical Journal
9 Applied Numerical Mathematics
9 Journal of Dynamical and Control Systems
9 Communications on Pure and Applied Analysis
9 Central European Journal of Mathematics
9 Fixed Point Theory
9 Advances in Difference Equations
9 Proceedings of the Steklov Institute of Mathematics
8 Inverse Problems
8 Acta Mathematica Vietnamica
8 Bulletin of the Iranian Mathematical Society
8 SIAM Journal on Mathematical Analysis
8 Russian Mathematics
8 NoDEA. Nonlinear Differential Equations and Applications
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Nonlinear Analysis. Hybrid Systems
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Cited in 55 Fields

1,653 Calculus of variations and optimal control; optimization (49-XX)
1,497 Operator theory (47-XX)
1,364 Operations research, mathematical programming (90-XX)
717 Numerical analysis (65-XX)
435 Ordinary differential equations (34-XX)
416 Partial differential equations (35-XX)
379 General topology (54-XX)
287 Functional analysis (46-XX)
256 Dynamical systems and ergodic theory (37-XX)
232 Real functions (26-XX)
182 Global analysis, analysis on manifolds (58-XX)
179 Systems theory; control (93-XX)
152 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
132 Probability theory and stochastic processes (60-XX)
130 Measure and integration (28-XX)
100 Convex and discrete geometry (52-XX)
82 Mechanics of deformable solids (74-XX)
72 Computer science (68-XX)
57 Linear and multilinear algebra; matrix theory (15-XX)
50 Approximations and expansions (41-XX)
43 Differential geometry (53-XX)
42 Functions of a complex variable (30-XX)
36 Information and communication theory, circuits (94-XX)
33 Sequences, series, summability (40-XX)
33 Fluid mechanics (76-XX)
30 Potential theory (31-XX)
26 Biology and other natural sciences (92-XX)
21 Algebraic topology (55-XX)
20 Statistics (62-XX)
18 Integral equations (45-XX)
18 Mechanics of particles and systems (70-XX)
15 Mathematical logic and foundations (03-XX)
15 Topological groups, Lie groups (22-XX)
12 Difference and functional equations (39-XX)
9 Algebraic geometry (14-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Geometry (51-XX)
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8 Harmonic analysis on Euclidean spaces (42-XX)
7 Classical thermodynamics, heat transfer (80-XX)
5 History and biography (01-XX)
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5 Geophysics (86-XX)
4 Category theory; homological algebra (18-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Nonassociative rings and algebras (17-XX)
3 Group theory and generalizations (20-XX)
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3 Optics, electromagnetic theory (78-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Quantum theory (81-XX)
2 Mathematics education (97-XX)
1 Integral transforms, operational calculus (44-XX)

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