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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: 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 G.
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, Alexander M.
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 310 more Authors

Publications by Year

Citations contained in zbMATH Open

355 Publications have been cited 4,938 times in 3,757 Documents Cited by Year
Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization. Zbl 1156.90426
Maingé, Paul-Emile
355
2008
An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping. Zbl 0991.65056
Alvarez, Felipe; Attouch, Hedy
273
2001
On attractors of multivalued semi-flows and differential inclusions. Zbl 0915.58063
Mel’nik, Valery S.; Valero, José
144
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.
107
1999
Regularization of nonlinear ill-posed variational inequalities and convergence rates. Zbl 0924.49009
Liu, Fengshan; Nashed, M. Zuhair
105
1998
On the convergence of von Neumann’s alternating projection algorithm for two sets. Zbl 0801.47042
Bauschke, H. H.; Borwein, J. M.
104
1993
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
101
2004
Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Zbl 1018.37048
Caraballo, T.; Langa, J. A.; Melnik, V. S.; Valero, J.
88
2003
On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013
Ioffe, Alexander D.; Outrata, Jiří V.
86
2008
Enlargement of monotone operators with applications to variational inequalities. Zbl 0882.90105
Burachik, Regina S.; Iusem, Alfredo N.; Svaiter, B. F.
85
1997
Fine properties of sets of finite perimeter in doubling metric measure spaces. Zbl 1037.28002
Ambrosio, Luigi
68
2002
Necessary conditions for free end-time, measurably time dependent optimal control problems with state constraints. Zbl 0967.49017
Vinter, R. B.; Zheng, H.
55
2000
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
55
2008
Evolution equations governed by the sweeping process. Zbl 0813.34018
Castaing, C.; Dúc Hā, Trúóng Xuân; Valadier, M.
50
1993
A comparison between two theories for multi-valued semiflows and their asymptotic behaviour. Zbl 1053.47050
Caraballo, T.; Marín-Rubio, P.; Robinson, J. C.
50
2003
Weak and strong convergence of solutions to accretive operator inclusions and applications. Zbl 0981.47036
Kamimura, Shoji; Takahashi, Wataru
49
2000
Maximal monotone operators, convex functions and a special family of enlargements. Zbl 1033.47036
Burachik, Regina Sandra; Svaiter, B. F.
49
2002
Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036
Martínez-Legaz, J.-E.; Svaiter, B. F.
49
2005
Newton’s method for a class of nonsmooth functions. Zbl 0804.65062
Robinson, Stephen M.
48
1994
Extension of subgradient techniques for nonsmooth optimization in Banach spaces. Zbl 1049.90123
Alber, Ya. I.; Iusem, A. N.
47
2001
The sweeping processes without convexity. Zbl 0957.34060
Colombo, Giovanni; Goncharov, Vladimir V.
47
1999
Inertial iterative process for fixed points of certain quasi-nonexpansive mappings. Zbl 1129.47054
Maingé, Paul-Emile
46
2007
About regularity of collections of sets. Zbl 1141.49020
Kruger, A. Ya.
46
2006
Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143
Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V.
43
2007
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
Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization. Zbl 1058.49017
Huynh Van Ngai; Théra, Michel
41
2004
Metric inequality, subdifferential calculus and applications. Zbl 1024.49017
Huynh Van Ngai; Théra, Michel
41
2001
Linearized elasticity as \(\Gamma\)-limit of finite elasticity. Zbl 1009.74008
Dal Maso, G.; Negri, M.; Percivale, D.
40
2002
\(\varepsilon\)-enlargements of maximal monotone operators in Banach spaces. Zbl 0948.47050
Burachik, Regina Sandra; Svaiter, B. F.
40
1999
Weak and strong convergence theorems for maximal monotone operators in a Banach space. Zbl 1078.47050
Kamimura, Shoji; Kohsaka, Fumiaki; Takahashi, Wataru
39
2004
A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014
Rockafellar, R. T.; Zagrodny, D.
36
1997
On the coderivative of the projection operator onto the second-order cone. Zbl 1161.49011
Outrata, Jiří V.; Sun, Defeng
36
2008
Homotopical stability of isolated critical points of continuous functionals. Zbl 1008.58011
Corvellec, J.-N.; Hantoute, A.
35
2002
\(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems. Zbl 0847.54019
Tolstonogov, A. A.; Tolstonogov, D. A.
34
1996
Nonsmooth analysis of singular values. I: Theory. Zbl 1129.49025
Lewis, Adrian S.; Sendov, Hristo S.
32
2005
Mutational equations in metrics spaces. Zbl 0784.34015
Aubin, Jean-Pierre
31
1993
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
Implicit multifunction theorems. Zbl 0952.49017
Ledyaev, Yuri S.; Zhu, Qiji J.
31
1999
Nonsmooth analysis of singular values. II: Applications. Zbl 1129.49026
Lewis, Adrian S.; Sendov, Hristo S.
30
2005
\(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems. Zbl 0861.54019
Tolstonogov, A. A.; Tolstonogov, D. A.
30
1996
On the Pettis integral of closed valued multifunctions. Zbl 0974.28009
El Amri, Khadija; Hess, Christian
28
2000
Nonconvex differential calculus for infinite-dimensional multifunctions. Zbl 0866.49024
Mordukhovich, Boris S.; Shao, Yongheng
28
1996
On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions. Zbl 1063.35040
Melnik, Valery S.; Valero, José
27
2000
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
On attractors for multivalued semigroups defined by generalized semiflows. Zbl 1143.35310
Simsen, Jacson; Gentile, Cláudia B.
27
2008
Wijsman convergence: A survey. Zbl 0812.54014
Beer, Gerald
26
1994
BV solutions to evolution problems with time-dependent domains. Zbl 0880.34017
Kunze, M.; Monteiro Marques, M. D. P.
25
1997
Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem. Zbl 0934.54013
Levin, Vladimir
25
1999
An existence theorem for generalized quasi-variational inequalities. Zbl 0781.49006
Cubiotti, Paolo
24
1993
Set-valued Kurzweil-Henstock-Pettis integral. Zbl 1100.28008
Di Piazza, L.; Musiał, K.
24
2005
A calculus for set-valued maps and set-valued evolution equations. Zbl 0856.49016
Artstein, Zvi
23
1995
Compactness properties, openness criteria and coderivatives. Zbl 0932.49019
Penot, Jean-Paul
23
1998
A simple ‘finite approximations’ proof of the Pontryagin maximum principle under reduced differentiability hypotheses. Zbl 1046.49014
Arutyunov, Aram V.; Vinter, Richard B.
22
2004
Second-order optimality conditions in generalized semi-infinite programming. Zbl 0984.90056
Rückmann, Jan-J.; Shapiro, Alexander
22
2001
A family of enlargements of maximal monotone operators. Zbl 0977.47042
Svaiter, B. F.
21
2000
Existence results on the second-order nonconvex sweeping processes with perturbations. Zbl 1048.49002
Bounkhel, Messaoud; Azzam, Dalila-Laouir
21
2004
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.
20
1997
On the Fell topology. Zbl 0810.54010
Beer, Gerald
20
1993
Prox-regularity of functions and sets in Banach spaces. Zbl 1046.49009
Bernard, Frédéric; Thibault, Lionel
20
2004
Towards fully discretized differential inclusions. Zbl 1024.34007
Grammel, G.
19
2003
Convexity of nonlinear image of a small ball with applications to optimization. Zbl 1006.52001
Polyak, B. T.
19
2001
BV periodic solutions of an evolution problem associated with continuous moving convex sets. Zbl 0845.35142
Castaing, Charles; Monteiro Marques, Manuel D. P.
19
1995
Convergence of the efficient sets. Zbl 0803.49015
Dinh The Luc; Lucchetti, R.; Maliverti, C.
18
1994
Spaces of densely continuous forms, USCO and minimal USCO maps. Zbl 1022.54012
Holá, Ľ.
18
2003
Non-convex quasi-variational differential inclusions. Zbl 1134.34036
Chemetov, N.; Marques, M. D. P. Monteiro
18
2007
Metric regularity and subdifferential calculus in Banach spaces. Zbl 0854.49015
Jourani, A.; Thibault, L.
18
1995
Optimization and stability results through cone lower semicontinuity. Zbl 0892.90153
Ferro, F.
17
1997
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.
17
2003
Necessary conditions in nonsmooth minimization via lower and upper subgradients. Zbl 1046.49011
Mordukhovich, Boris S.
16
2004
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.
16
2001
The sum and chain rules for maximal monotone operators. Zbl 1188.47041
Voisei, M. D.
16
2008
The equivalence of several basic theorems for subdifferentials. Zbl 0917.49017
Zhu, Qiji J.
16
1998
Generic existence of fixed points for set-valued mappings. Zbl 1010.47029
Reich, Simeon; Zaslavski, Alexander J.
15
2002
Calculus for parabolic second-order derivatives. Zbl 0797.58014
Ward, Doug
15
1993
Proximal analysis in smooth spaces. Zbl 0858.49015
Borwein, Jonathan M.; Ioffe, Alexander
15
1996
On the subdifferentiability of the difference of two functions and local minimization. Zbl 1165.26307
Amahroq, Tijani; Penot, Jean-Paul; Syam, Aïcha
15
2008
Regularization of nonconvex sweeping process in Hilbert space. Zbl 1162.34010
Thibault, Lionel
15
2008
Upper semicontinuity of the feasible set mapping for linear inequality systems. Zbl 1080.90076
Cánovas, M. J.; López, M. A.; Parra, J.
14
2002
Optimality conditions and synthesis for the minimum time problem. Zbl 0988.49010
Cannarsa, Piermarco; Frankowska, Hélène; Sinestrari, Carlo
14
2000
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
13
2002
Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151
Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander
13
1997
Modified continuity and a generalisation of Michael’s selection theorem. Zbl 0805.54018
Giles, J. R.; Bartlett, M. O.
13
1993
\(\varepsilon\)-subdifferentials in terms of subdifferentials. Zbl 0870.47032
Martinez-Legaz, Juan-Enrique; Théra, Michel
13
1996
Singularly perturbed differential inclusions: An averaging approach. Zbl 0864.34010
Grammel, Götz
13
1996
Multivalued contractions. Zbl 0820.47065
Saint Raymond, J.
13
1994
Necessary and sufficient conditions for viability for nonlinear evolution inclusions. Zbl 1179.34068
Cârjă, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
13
2008
Criteria for the metric generalized inverse and its selections in Banach spaces. Zbl 1148.47003
Hudzik, Henryk; Wang, Yuwen; Zheng, Wenjing
13
2008
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
Multiplicity results for an eigenvalue problem for hemivariational inequalities in strip-like domains. Zbl 1080.35058
Kristály, Alexandru
13
2005
Regularization of monotone variational inequalities with Mosco approximations of the constraint sets. Zbl 1129.49003
Alber, Yakov; Butnariu, Dan; Ryazantseva, Irina
13
2005
On metric boundedness structures. Zbl 0951.54025
Beer, Gerald
13
1999
Fuzzy principles and characterization of trustworthiness. Zbl 0927.49009
Ioffe, Alexander
13
1998
Lyapunov sequences and a turnpike theorem without convexity. Zbl 0917.90051
Dzalilov, Z.; Rubinov, A. M.; Kloeden, P. E.
13
1998
Lower subdifferentiability and integration. Zbl 1009.47039
Bachir, M.; Daniilidis, A.; Penot, J.-P.
12
2002
Metrics that generate the same hyperspace convergence. Zbl 0796.54016
Costantini, C.; Levi, S.; Zieminska, J.
12
1993
Polyhedral sweeping processes with oblique reflection in the space of regulated functions. Zbl 1035.34010
Krejčí, Pavel; Vladimirov, Alexander
12
2003
Attractors of weakly asymptotically compact set-valued dynamical systems. Zbl 1088.37002
Kloeden, P. E.; Valero, J.
12
2005
Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization. Zbl 1156.90426
Maingé, Paul-Emile
355
2008
On metric and calmness qualification conditions in subdifferential calculus. Zbl 1156.49013
Ioffe, Alexander D.; Outrata, Jiří V.
86
2008
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
55
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
36
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.
27
2008
The sum and chain rules for maximal monotone operators. Zbl 1188.47041
Voisei, M. D.
16
2008
On the subdifferentiability of the difference of two functions and local minimization. Zbl 1165.26307
Amahroq, Tijani; Penot, Jean-Paul; Syam, Aïcha
15
2008
Regularization of nonconvex sweeping process in Hilbert space. Zbl 1162.34010
Thibault, Lionel
15
2008
Necessary and sufficient conditions for viability for nonlinear evolution inclusions. Zbl 1179.34068
Cârjă, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
13
2008
Criteria for the metric generalized inverse and its selections in Banach spaces. Zbl 1148.47003
Hudzik, Henryk; Wang, Yuwen; Zheng, Wenjing
13
2008
On the dynamics of nonautonomous general dynamical systems and differential inclusions. Zbl 1187.37026
Li, Desheng; Wang, Yejuan; Wang, Suyun
11
2008
Partial exact penalty for mathematical programs with equilibrium constraints. Zbl 1170.65052
Liu, Guoshan; Ye, Jane; Zhu, Jiaping
10
2008
Sensitivity of solutions to a parametric generalized equation. Zbl 1156.90437
Huy, N. Q.; Lee, G. M.
10
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
Embeddings of bornological universes. Zbl 1171.54012
Beer, Gerald
8
2008
Gap, excess and bornological convergence. Zbl 1165.54002
Beer, Gerald; Levi, Sandro
8
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.
8
2008
Normal fans of polyhedral convex sets. Zbl 1144.52008
Lu, Shu; Robinson, Stephen M.
8
2008
Lagrange multipliers for multiobjective programs with a general preference. Zbl 1191.90053
Bellaassali, S.; Jourani, A.
8
2008
Addendum to “On attractors of multivalued semiflows and differential inclusions” [Set-valued Anal. 6, No. 1, 83–111 (1998; Zbl 0915.58063)]. Zbl 1172.35331
Melnik, V. S.; Valero, J.
7
2008
Viability with probabilistic knowledge of initial condition, application to optimal control. Zbl 1161.49009
As Soulaimani, S.
7
2008
On implicit multifunction theorems. Zbl 1159.47037
Azé, D.; Benahmed, S.
7
2008
Bifurcations of asymptotically autonomous differential equations. Zbl 1175.34051
Rasmussen, Martin
6
2008
Viability for differential inclusions on graphs. Zbl 1182.34083
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
6
2008
Representations of affine multifunctions by affine selections. Zbl 1147.54010
Gorokhovik, Valentin V.
6
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
A Peano type theorem for a class of nonconvex-valued differential inclusions. Zbl 1170.34308
Goblet, Jordan
5
2008
On the index of solvability for variational inequalities in Banach spaces. Zbl 1148.47046
Benedetti, Irene; Obukhovskii, Valeri
5
2008
A remark on the existence of solutions to nonlinear equations with degenerate mappings. Zbl 1154.47050
Prusińska, Agnieszka; Tret’yakov, Alexey
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
Positive solutions for nonlinear periodic problems with the scalar \(p\)-Laplacian. Zbl 1172.34005
Denkowski, Zdzisław; Gasiński, Leszek; Papageorgiou, Nikolaos S.
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
Relaxation results for hybrid inclusions. Zbl 1169.37017
Cai, Chaohong; Goebel, Rafal; Teel, Andrew R.
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
\(p\)-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
Generalizing mutational equations for uniqueness of some nonlocal first-order geometric evolutions. Zbl 1133.49017
Lorenz, Thomas
2
2008
Slice-continuous sets in reflexive Banach spaces: some complements. Zbl 1234.52003
Ernst, Emil; Théra, Michel
2
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
On partially ordered semigroups and an abstract set-difference. Zbl 1145.06007
Pallaschke, D.; Przybycień, H.; Urbański, R.
1
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
Inertial iterative process for fixed points of certain quasi-nonexpansive mappings. Zbl 1129.47054
Maingé, Paul-Emile
46
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.
43
2007
Non-convex quasi-variational differential inclusions. Zbl 1134.34036
Chemetov, N.; Marques, M. D. P. Monteiro
18
2007
Regularity of solution maps of differential inclusions under state constraints. Zbl 1126.34011
Bettiol, Piernicola; Frankowska, Hélène
10
2007
Generalized Jacobian for functions with infinite dimensional range and domain. Zbl 1211.49019
Páles, Zsolt; Zeidan, Vera
9
2007
Continuity of the solution map in parametric affine variational inequalities. Zbl 1119.49010
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
8
2007
Completeness, sections and selections. Zbl 1140.54003
Gutev, Valentin
7
2007
A convex-analytical approach to extension results for \(n\)-cyclically monotone operators. Zbl 1133.47037
Bauschke, Heinz H.; Wang, Xianfu
5
2007
Convex difference criteria for the quantitative stability of parametric quasidifferentiable systems. Zbl 1156.90018
Uderzo, A.
5
2007
Regularity and integration of set-valued maps represented by generalized Steiner points. Zbl 1144.28005
Baier, Robert; Farkhi, Elza
5
2007
Metric projections and polyhedral spaces. Zbl 1133.46008
Indumathi, V.
4
2007
Existence theorems for set-valued operators in Banach spaces. Zbl 1133.47035
Matsushita, Shin-ya; Takahashi, Wataru
4
2007
On some concepts of generalized differentials. Zbl 1118.49010
Piccoli, Benedetto; Girejko, Ewa
4
2007
On the parametrized integral of a multifunction: the unbounded case. Zbl 1127.28009
Hess, Christian
3
2007
On the calculus of limiting subhessians. Zbl 1138.49019
Eberhard, A.; Wenczel, R.
2
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
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
On the inner and outer norms of sublinear mappings. Zbl 1156.49015
Aragón Artacho, F. J.; Dontchev, A. L.
1
2007
About regularity of collections of sets. Zbl 1141.49020
Kruger, A. Ya.
46
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
9
2006
Stability of a cubically convergent method for generalized equations. Zbl 1100.49020
Geoffroy, Michel H.; Hilout, Saïd; Piétrus, Alain
9
2006
Clarke generalized Jacobian of the projection onto the cone of positive semidefinite matrices. Zbl 1100.49033
Malick, Jérôme; Sendov, Hristo S.
9
2006
Semifixed sets of maps in hyperspaces with application to set differential equations. Zbl 1110.47040
de Blasi, F. S.
6
2006
Supercalm multifunctions for convergence analysis. Zbl 1100.49021
Levy, Adam B.
5
2006
Delay perturbed sweeping process. Zbl 1122.34060
Edmond, Jean Fenel
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
Reynold’s transport theorem for differential inclusions. Zbl 1111.34013
Lorenz, Thomas
3
2006
Multivalued exponentiation analysis. I: Maclaurin exponentials. Zbl 1113.26026
Cabot, Alexandre; Seeger, Alberto
3
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
Generalized differential inclusions in Banach spaces. Zbl 1108.34055
Tabor, Jacek
2
2006
Some properties of general minimization problems with constraints. Zbl 1103.49007
Le, Vy K.; Motreanu, Dumitru
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.
49
2005
Nonsmooth analysis of singular values. I: Theory. Zbl 1129.49025
Lewis, Adrian S.; Sendov, Hristo S.
32
2005
Nonsmooth analysis of singular values. II: Applications. Zbl 1129.49026
Lewis, Adrian S.; Sendov, Hristo S.
30
2005
Set-valued Kurzweil-Henstock-Pettis integral. Zbl 1100.28008
Di Piazza, L.; Musiał, K.
24
2005
Multiplicity results for an eigenvalue problem for hemivariational inequalities in strip-like domains. Zbl 1080.35058
Kristály, Alexandru
13
2005
Regularization of monotone variational inequalities with Mosco approximations of the constraint sets. Zbl 1129.49003
Alber, Yakov; Butnariu, Dan; Ryazantseva, Irina
13
2005
Attractors of weakly asymptotically compact set-valued dynamical systems. Zbl 1088.37002
Kloeden, P. E.; Valero, J.
12
2005
Perturbations and metric regularity. Zbl 1086.49020
Dontchev, A. L.; Lewis, A. S.
12
2005
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Cited by 3,104 Authors

78 Yao, Jen-Chih
48 Mordukhovich, Boris S.
48 Shehu, Yekini
46 Kumam, Poom
45 Valero, José
40 Penot, Jean-Paul
40 Zegeye, Habtu
37 Cho, Yeol Je
36 Kruger, Alexander Y.
33 Cholamjiak, Prasit
31 Ceng, Lu-Chuan
31 Holá, Ľubica
31 Wang, Bixiang
30 Zaslavski, Alexander Yakovlevich
28 Mewomo, Oluwatosin Temitope
27 Boţ, Radu Ioan
27 Phan Quôc Khánh
27 Svaiter, Benar Fux
26 Borwein, Jonathan Michael
26 Reich, Simeon
26 Tolstonogov, Aleksandr Aleksandrovich
25 Attouch, Hedy
25 Thibault, Lionel
24 Dương Việt Thông
24 Jolaoso, Lateef Olakunle
23 Kapustyan, Oleksiy V.
23 Lahti, Panu
23 Suantai, Suthep
23 Wang, Shawn Xianfu
22 Andres, Jan
22 López-Cerdá, Marco Antonio
21 Bauschke, Heinz H.
21 Csetnek, Ernö Robert
21 Kloeden, Peter Eris
21 Outrata, Jiří V.
20 Goberna, Miguel Angel
20 Kasyanov, Pavlo O.
20 Liou, Yeongcheng
20 Noor, Muhammad Aslam
20 Shahzad, Naseer
19 Adly, Samir
19 Huang, Nan-Jing
19 Takahashi, Wataru
19 Théra, Michel A.
19 Yao, Yonghong
18 Dang Van Hieu
18 Rehman, Habib Ur
18 Simsen, Jacson
17 Beer, Gerald Alan
17 Caraballo Garrido, Tomás
17 Dong, Qiaoli
17 Eslamian, Mohammad
17 Huynh Van Ngai
17 Shanmugalingam, Nageswari
16 Cubiotti, Paolo
16 Donchev, Tzanko Donchev
16 Gfrerer, Helmut
16 Lin, Lai-Jiu
16 Lorenz, Thomas
16 Papageorgiou, Nikolaos S.
16 Wang, Yejuan
16 Zheng, Xiyin
15 Azzam-Laouir, Dalila
15 Durea, Marius
15 Frankowska, Hélène
15 Geoffroy, Michel H.
15 Gibali, Aviv
15 Iusem, Alfredo Noel
15 Izuchukwu, Chinedu
15 Khan, Akhtar Ali
15 Marín-Rubio, Pedro
15 Pastor, Karel
15 Ye, Jane J.
14 Iyiola, Olaniyi Samuel
14 Martínez-Legaz, Juan-Enrique
14 Quincampoix, Marc
14 Thao, Nguyen Hieu
13 Cabot, Alexandre
13 Cánovas, María Josefa
13 Ioffe, Alexander Davidovich
13 Sama, Miguel
13 Trương Minh Tuyên
13 Uderzo, Amos
13 Zălinescu, Constantin
12 Castaing, Charles
12 Hantoute, Abderrahim
12 Henrion, René
12 Holý, Dušan
12 Langa, Jose’ Antonio
12 Marano, Salvatore Angelo
12 Monteiro, Renato D. C.
12 Musial, Kazimierz
12 Parra, Juan
12 Wangkeeree, Rabian
11 Di Piazza, Luisa
11 Dinh The Luc
11 Dontchev, Asen L.
11 Farkhi, Elza M.
11 Gutev, Valentin G.
11 Lewis, Adrian S.
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Cited in 405 Journals

221 Journal of Mathematical Analysis and Applications
210 Journal of Optimization Theory and Applications
193 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
193 Optimization
163 Set-Valued and Variational Analysis
106 Mathematical Programming. Series A. Series B
96 Set-Valued Analysis
95 Fixed Point Theory and Applications
86 Journal of Global Optimization
77 Journal of Inequalities and Applications
74 Numerical Functional Analysis and Optimization
72 SIAM Journal on Optimization
69 Topology and its Applications
66 Journal of Differential Equations
52 Abstract and Applied Analysis
47 Optimization Letters
43 Journal of Fixed Point Theory and Applications
41 Computational Optimization and Applications
39 Applied Mathematics and Computation
39 Discrete and Continuous Dynamical Systems. Series B
31 Positivity
29 Numerical Algorithms
28 Applicable Analysis
28 Computational and Applied Mathematics
27 Vietnam Journal of Mathematics
25 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
23 Journal of Computational and Applied Mathematics
23 Journal of Applied Mathematics
22 Computers & Mathematics with Applications
21 Rendiconti del Circolo Matemàtico di Palermo. Serie II
21 Transactions of the American Mathematical Society
21 Journal of Convex Analysis
21 Optimization Methods & Software
20 Calculus of Variations and Partial Differential Equations
20 Journal of Mathematical Sciences (New York)
20 Discrete and Continuous Dynamical Systems
20 Journal of Applied Mathematics and Computing
20 Nonlinear Analysis. Theory, Methods & Applications
19 Proceedings of the American Mathematical Society
19 SIAM Journal on Control and Optimization
19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Automatica
17 Systems & Control Letters
16 Journal of Nonlinear Science and Applications
15 Archive for Rational Mechanics and Analysis
15 Bulletin of the Australian Mathematical Society
15 Journal of Approximation Theory
15 Journal of Functional Analysis
15 European Journal of Operational Research
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Journal of Function Spaces
14 Mathematical Methods of Operations Research
14 Acta Mathematica Sinica. English Series
14 Stochastics and Dynamics
14 Mediterranean Journal of Mathematics
13 Applied Mathematics and Optimization
13 Applied Mathematics Letters
13 Journal of Industrial and Management Optimization
13 Journal of Nonlinear and Variational Analysis
12 Mathematics of Operations Research
12 Filomat
12 Thai Journal of Mathematics
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Fuzzy Sets and Systems
11 Linear Algebra and its Applications
11 Nonlinear Analysis. Real World Applications
10 Demonstratio Mathematica
10 Mathematica Slovaca
10 Acta Applicandae Mathematicae
10 Annals of Operations Research
10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Top
9 Rocky Mountain Journal of Mathematics
9 Journal of Mathematical Economics
9 The Journal of Geometric Analysis
9 Journal of Applied Analysis
9 Journal of Dynamical and Control Systems
8 Mathematical Notes
8 Journal of Scientific Computing
8 SIAM Journal on Mathematical Analysis
8 Russian Mathematics
8 Nonlinear Functional Analysis and Applications
7 Journal of Mathematical Physics
7 Acta Mathematica Vietnamica
7 Calcolo
7 Functional Analysis and its Applications
7 Zeitschrift für Analysis und ihre Anwendungen
7 Operations Research Letters
7 Stochastic Analysis and Applications
7 Acta Mathematica Hungarica
7 International Journal of Computer Mathematics
7 Economic Theory
7 Communications on Pure and Applied Analysis
7 Proceedings of the Steklov Institute of Mathematics
7 SIAM Journal on Imaging Sciences
7 Discrete and Continuous Dynamical Systems. Series S
7 AIMS Mathematics
6 Israel Journal of Mathematics
6 Advances in Mathematics
6 Ricerche di Matematica
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Cited in 55 Fields

1,431 Calculus of variations and optimal control; optimization (49-XX)
1,250 Operator theory (47-XX)
1,181 Operations research, mathematical programming (90-XX)
571 Numerical analysis (65-XX)
376 Ordinary differential equations (34-XX)
353 Partial differential equations (35-XX)
335 General topology (54-XX)
243 Functional analysis (46-XX)
217 Dynamical systems and ergodic theory (37-XX)
196 Real functions (26-XX)
171 Global analysis, analysis on manifolds (58-XX)
158 Systems theory; control (93-XX)
136 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
110 Measure and integration (28-XX)
106 Probability theory and stochastic processes (60-XX)
97 Convex and discrete geometry (52-XX)
68 Mechanics of deformable solids (74-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
50 Computer science (68-XX)
46 Approximations and expansions (41-XX)
31 Differential geometry (53-XX)
29 Functions of a complex variable (30-XX)
27 Fluid mechanics (76-XX)
26 Potential theory (31-XX)
24 Biology and other natural sciences (92-XX)
22 Sequences, series, summability (40-XX)
21 Algebraic topology (55-XX)
20 Information and communication theory, circuits (94-XX)
19 Statistics (62-XX)
15 Topological groups, Lie groups (22-XX)
15 Integral equations (45-XX)
15 Mechanics of particles and systems (70-XX)
13 Mathematical logic and foundations (03-XX)
9 Algebraic geometry (14-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Manifolds and cell complexes (57-XX)
7 Difference and functional equations (39-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Geometry (51-XX)
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5 History and biography (01-XX)
5 Abstract harmonic analysis (43-XX)
5 Geophysics (86-XX)
4 Category theory; homological algebra (18-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Nonassociative rings and algebras (17-XX)
3 Special functions (33-XX)
3 Optics, electromagnetic theory (78-XX)
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2 Group theory and generalizations (20-XX)
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1 Integral transforms, operational calculus (44-XX)
1 Mathematics education (97-XX)

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