# zbMATH — the first resource for mathematics

## Journal of Convex Analysis

 Short Title: J. Convex Anal. Publisher: Heldermann, Lemgo ISSN: 0944-6532 Online: http://www.heldermann.de/JCA/jcacon.htmhttps://www.emis.de/journals/JCA/ Predecessor: Séminaire d’Analyse Convexe Comments: Indexed cover-to-cover
 Documents Indexed: 1,324 Publications (since 1994) References Indexed: 234 Publications with 5,169 References.
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#### Latest Issues

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#### Authors

 17 Borwein, Jonathan Michael 14 Martínez-Legaz, Juan-Enrique 14 Seeger, Alberto 13 Iusem, Alfredo Noel 13 Svaiter, Benar Fux 12 Takahashi, Wataru 12 Zachos, Anastasios N. 12 Zajíček, Luděk 11 Zălinescu, Constantin 10 Mordukhovich, Boris S. 10 Simons, Stephen 9 Balashov, Maxim Viktorovich 9 Buttazzo, Giuseppe 9 Ioffe, Alexander Davidovich 9 Jeyakumar, Vaithilingam 9 López-Cerdá, Marco Antonio 9 Nour, Chadi 8 Bauschke, Heinz H. 8 Kąkol, Jerzy 7 Adly, Samir 7 Attouch, Hedy 7 Beer, Gerald Alan 7 Carlier, Guillaume 7 Correa, Rafael 7 Cui, Yunan 7 Ivanov, Grigorii E. 7 Marques Alves, Maicon 7 Martini, Horst 7 Muñoz-Fernández, Gustavo A. 7 Paul, Kallol 7 Penot, Jean-Paul 7 Reich, Simeon 7 Sadarangani, Kishin B. 7 Sendov, Hristo S. 7 Seoane-Sepúlveda, Juan Benigno 7 Thibault, Lionel 7 Urbański, Ryszard 7 Valadier, Michel 7 Veselý, Libor 7 Volle, Michel 7 Zaslavski, Alexander Yakovlevich 6 Dontchev, Asen L. 6 Hadjisavvas, Nicolas 6 Hantoute, Abderrahim 6 Ivanov, Milen 6 Nam, Nguyen Mau 6 Novo-Sanjurjo, Vicente 6 Pallaschke, Diethard 6 Sain, Debmalya 6 Soltan, Valeriu 6 Stern, Ronald Jay 6 Théra, Michel A. 6 Zhang, Kewei 6 Zlateva, Nadia P. 5 Bouchitté, Guy 5 Butnariu, Dan 5 Daniilidis, Aris 5 Dinh The Luc 5 Eberhard, Andrew C. 5 Grzybowski, Jerzy 5 Jiménez, Bienvenido 5 Monteiro Marques, Manuel D. P. 5 Musial, Kazimierz 5 Niezgoda, Marek 5 Pedregal, Pablo 5 Quang, Nguyen Van 5 Rockafellar, Ralph Tyrrell 5 Takche, Jean 5 Vanderwerff, Jon D. 5 Wang, Shawn Xianfu 5 Yao, Liangjin 5 Zamfirescu, Tudor I. 5 Zouzoulas, Gerasimos 4 Alvarez, Felipe 4 Aubin, Jean-Pierre 4 Aussel, Didier 4 Azé, Dominique 4 Bellettini, Giovanni 4 Boccardo, Lucio 4 Boţ, Radu Ioan 4 Bucur, Dorin 4 Bueno, Orestes 4 Calogero, Andrea 4 Clarke, Francis H. 4 Colombo, Giovanni 4 Combettes, Patrick L. 4 De Bernardi, Carlo Alberto 4 Ernst, Emil O. 4 Fabian, Marián J. 4 Ferrando, Juan Carlos 4 Fischer, Pal 4 Frankowska, Hélène 4 Garcia-Pacheco, Francisco Javier 4 Greco, Gabriele H. 4 Harjani, Jackie 4 Hess, Christian 4 Hudzik, Henryk 4 Jerónimo-Castro, Jesús 4 Kałamajska, Agnieszka 4 Kot, Piotr ...and 1,305 more Authors
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#### Fields

 617 Calculus of variations and optimal control; optimization (49-XX) 328 Functional analysis (46-XX) 279 Convex and discrete geometry (52-XX) 235 Operations research, mathematical programming (90-XX) 210 Operator theory (47-XX) 186 Real functions (26-XX) 125 Partial differential equations (35-XX) 73 General topology (54-XX) 63 Measure and integration (28-XX) 62 Global analysis, analysis on manifolds (58-XX) 56 Ordinary differential equations (34-XX) 51 Numerical analysis (65-XX) 50 Mechanics of deformable solids (74-XX) 38 Approximations and expansions (41-XX) 34 Probability theory and stochastic processes (60-XX) 29 Differential geometry (53-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 23 Systems theory; control (93-XX) 21 Difference and functional equations (39-XX) 18 Geometry (51-XX) 10 History and biography (01-XX) 9 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Information and communication theory, circuits (94-XX) 7 Topological groups, Lie groups (22-XX) 6 Mathematical logic and foundations (03-XX) 6 Combinatorics (05-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of particles and systems (70-XX) 5 General and overarching topics; collections (00-XX) 5 Potential theory (31-XX) 5 Integral equations (45-XX) 4 Algebraic geometry (14-XX) 4 Special functions (33-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 3 Field theory and polynomials (12-XX) 3 Category theory; homological algebra (18-XX) 3 Sequences, series, summability (40-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)

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940 Publications have been cited 6,114 times in 4,612 Documents Cited by Year
The split common fixed point problem for directed operators. Zbl 1189.65111
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Proximal smoothness and the lower-$$C^ 2$$ property. Zbl 0881.49008
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A hybrid projection-proximal point algorithm. Zbl 0961.90128
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1999
Legendre functions and the method of random Bregman projections. Zbl 0894.49019
Bauschke, Heinz G.; Borwein, Jonathan M.
1997
Iterative construction of the resolvent of a sum of maximal monotone operators. Zbl 1193.47067
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2009
Alternating proximal algorithms for weakly coupled convex minimization problems. Applications to dynamical games and PDE’s. Zbl 1154.65044
Attouch, Hedy; Bolte, Jérôme; Redont, Patrick; Soubeyran, Antoine
2008
Non-uniform integrability and generalized Young measures. Zbl 0981.49012
Alibert, J. J.; Bouchitté, G.
1997
Maximal monotonicity via convex analysis. Zbl 1111.47042
Borwein, Jonathan M.
2006
On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040
Efendiev, Messoud A.; Mielke, Alexander
2006
A general duality principle for the sum of two operators. Zbl 0861.47028
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1996
On existence theorems for monotone and nonmonotone variational inequalities. Zbl 1192.47052
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2009
Proximal point methods for quasiconvex and convex functions with Bregman distances on Hadamard manifolds. Zbl 1176.90361
Papa Quiroz, Erik A.; Oliveira, Paolo Roberto
2009
A unified theory for metric regularity of multifunctions. Zbl 1101.49013
Azé, D.
2006
A systematization of convexity concepts for sets and functions. Zbl 0885.52003
Breckner, Wolfgang W.; Kassay, Gábor
1997
Continuity and maximality properties of pseudomonotone operators. Zbl 1063.47041
2003
Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time. Zbl 1214.47080
Peypouquet, Juan; Sorin, Sylvain
2010
Characterization of metric regularity of subdifferentials. Zbl 1146.49012
Aragón Artacho, Francisco. J.; Geoffroy, Michel H.
2008
A dual condition for the convex subdifferential sum formula with applications. Zbl 1098.49017
Burachik, R. S.; Jeyakumar, V.
2005
The convex analysis of unitarily invariant matrix functions. Zbl 0860.15026
Lewis, A. S.
1995
From linear to convex systems: consistency, Farkas’ lemma and applications. Zbl 1137.90684
Dinh, N.; Goberna, M. A.; López, M. A.
2006
An explicit descent method for bilevel convex optimization. Zbl 1145.90081
Solodov, Mikhail
2007
On some properties of paramonotone operators. Zbl 0914.90216
Iusem, Alfredo N.
1998
A variational approach to a class of singular semilinear elliptic equations. Zbl 1073.35092
Canino, Annamaria; Degiovanni, Marco
2004
On nonconvex subdifferential calculus in Banach spaces. Zbl 0838.49013
Mordukhovich, Boris S.; Shao, Yongheng
1995
The Graves theorem revisited. Zbl 0867.46036
Dontchev, Asen L.
1996
Identifying active constraints via partial smoothness and prox-regularity. Zbl 1178.90314
Hare, W. L.; Lewis, A. S.
2004
Aubin criterion for metric regularity. Zbl 1098.49018
Dontchev, A. L.; Quincampoix, M.; Zlateva, N.
2006
Existence and uniqueness of solution of unilateral problems with $$L^1$$ data. Zbl 0958.47038
Boccardo, L.; Cirmi, G. R.
1999
Farkas-type results and duality for DC programs with convex constraints. Zbl 1145.49016
Dinh, Nguyen; Vallet, Guy; Nghia, T. T. A.
2008
Limits of discrete systems with long-range interactions. Zbl 1031.49022
Braides, Andrea; Gelli, Maria Stella
2002
Maximal monotone operators and maximal monotone functions for equilibrium problems. Zbl 1165.47036
Aoyama, Koji; Kimura, Yasunori; Takahashi, Wataru
2008
Second-order growth, tilt stability, and metric regularity of the subdifferential. Zbl 1311.49035
Drusvyatskiy, D.; Mordukhovich, B. S.; Nghia, T. T. A.
2014
Subdifferential characterization of quasiconvexity and convexity. Zbl 0832.49010
Aussel, Didier; Corvellec, Jean-Noël; Lassonde, Marc
1994
Convergence theorems for a pair of nonexpansive mappings. Zbl 0916.47042
Takahashi, Wataru; Tamura, Takayuki
1998
Inexact and accelerated proximal point algorithms. Zbl 1283.90030
Salzo, Saverio; Villa, Silvia
2012
Consistency of minimizers and the SLLN for stochastic programs. Zbl 0837.90093
Artstein, Zvi; Wets, Roger J. B.
1995
On uniform convexity, total convexity and convergence of the proximal point and outer Bregman projection algorithms in Banach spaces. Zbl 1091.90078
Butnariu, Dan; Iusem, Alfredo N.; Zălinescu, Constantin
2003
A new system of generalized nonlinear mixed variational inequalities in Hilbert spaces. Zbl 1061.49010
Kim, Jong Kyu; Kim, Do Sang
2004
Variational inequalities and regularity properties of closed sets in Hilbert spaces. Zbl 0989.49020
2001
Best constants in Poincaré inequalities for convex domains. Zbl 1263.35010
Esposito, Luca; Nitsch, Carlo; Trombetti, Cristina
2013
Variational analysis for a class of minimal time functions in Hilbert spaces. Zbl 1059.49028
Colombo, Giovanni; Wolenski, Peter R.
2004
Principles of comparison with distance functions for absolute minimizers. Zbl 1128.49024
Champion, Thierry; De Pascale, Luigi
2007
Characterizations of prox-regular sets in uniformly convex Banach spaces. Zbl 1121.49014
Bernard, Frédéric; Thibault, Lionel; Zlateva, Nadia
2006
On a class of multidimensional optimal transportation problems. Zbl 1084.49037
Carlier, G.
2003
Partial and full boundary regularity for minimizers of functionals with nonquadratic growth. Zbl 1066.49022
Duzaar, Frank; Grotowski, Joseph F.; Kronz, Manfred
2004
On total convexity, Bregman projection and stability in Banach spaces. Zbl 1080.46010
Resmerita, Elena
2004
Remarks on diameter 2 properties. Zbl 1274.46027
Abrahamsen, Trond; Lima, Vegard; Nygaard, Olav
2013
The Schur geometrical convexity of the extended mean values. Zbl 1163.26004
Chu, Yuming; Zhang, Xiaoming; Wang, Gendi
2008
Exponential convexity method. Zbl 1275.26038
Jakšetić, Julije; Pečarić, Josip
2013
Vector variational principles; $$\varepsilon$$-efficiency and scalar stationarity. Zbl 1058.90072
Bolintinéanu, S.
2001
On $$L^1$$-lower semicontinuity in $$BV$$. Zbl 1115.49011
De Cicco, Virginia; Fusco, Nicola; Verde, Anna
2005
Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Fitzpatrick. Zbl 1117.26011
Bauschke, Heinz H.; McLaren, D. Alexander; Sendov, Hristo S.
2006
Energy functionals on certain fractal structures. Zbl 1018.28005
Mosco, Umberto
2002
Bounded linear regularity, strong CHIP, and CHIP are distinct properties. Zbl 0964.90032
Bauschke, Heinz H.; Borwein, Jonathan M.; Tseng, Paul
2000
Existence and uniqueness of solutions for non-autonomous complementarity dynamical systems. Zbl 1217.34026
Brogliato, B.; Thibault, L.
2010
On duality of diameter 2 properties. Zbl 1337.46007
Haller, Rainis; Langemets, Johann; Põldvere, Märt
2015
The $$p$$-Laplace eigenvalue problem as $$p\to 1$$ and Cheeger sets in a Finsler metric. Zbl 1186.35115
Kawohl, B; Novaga, M
2008
Set-semidefinite optimization. Zbl 1172.90013
Eichfelder, Gabriele; Jahn, Johannes
2008
Some remarks about the density of smooth functions in weighted Sobolev spaces. Zbl 0865.46019
Chiadò Piat, Valeria; Serra Cassano, Francesco
1994
Compactly epi-Lipschitzian convex sets and functions in normed spaces. Zbl 0989.49018
Borwein, Jonathan; Lucet, Yves; Mordukhovich, Boris
2000
Evolution problems associated with primal lower nice functions. Zbl 1102.49012
Marcellin, Sylvie; Thibault, Lionel
2006
Monotone linear relations: maximality and Fitzpatrick functions. Zbl 1193.47004
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2009
Variational sum of monotone operators. Zbl 0824.47044
Attouch, H.; Baillon, J.-B.; Théra, M.
1994
Unbounded linear monotone operators on nonreflexive Banach spaces. Zbl 1128.47301
Phelps, R. R.; Simons, S.
1998
Alternative theorems and necessary optimality conditions for directionally differentiable multiobjective programs. Zbl 1010.90073
Jiménez, B.; Novo, V.
2002
A complete characterization of the subdifferential set of the supremum of an arbitrary family of convex functions. Zbl 1165.52010
Hantoute, Abderrahim; López, M. A.
2008
Fréchet-Legendre functions and reflexive Banach spaces. Zbl 1206.58004
Borwein, J. M.; Vanderwerff, J.
2010
A formula for the set of optimal solutions of a relaxed minimization problem. Applications to subdifferential calculus. Zbl 1219.90184
López, M. A.; Volle, M.
2010
The split common fixed point problem and the shrinking projection method in Banach spaces. Zbl 06843163
Takahashi, Wataru
2017
Local uniform rotundity in Calderón-Lozanovskiĭ spaces. Zbl 1159.46018
Foralewski, Paweł; Kolwicz, Paweł
2007
Proximal points are on the fast track. Zbl 1037.49031
Mifflin, Robert; Sagastizábal, Claudia
2002
Total convexity for powers of the norm in uniformly convex Banach spaces. Zbl 0971.46005
Butnariu, Dan; Iusem, Alfredo N.; Resmerita, Elena
2000
A note on the characterization of the global maxima of a (tangentially) convex function over a convex set. Zbl 0877.49017
Hiriart-Urruty, J.-B.; Ledyaev, Yuri S.
1996
Minimization of nonsmooth convex functionals in Banach spaces. Zbl 0895.90150
Alber, Ya. I.; Iusem, A. N.; Solodov, M. V.
1997
Geodetically convex sets in the Heisenberg group. Zbl 1077.53030
Monti, Roberto; Rickly, Matthieu
2005
Pseudometrizable bornological convergence is Attouch-Wets convergence. Zbl 1173.54002
Beer, Gerald; Levi, Sandro
2008
Generalized variational inequalities. Zbl 1001.49014
Krejčí, Pavel; Laurençot, Philippe
2002
Existence and construction of bipotentials for graphs of multivalued laws. Zbl 1133.49018
Buliga, M.; de Saxcé, G.; Vallée, C.
2008
Existence and relaxation theorems for unbounded differential inclusions. Zbl 1104.34006
Ioffe, A.
2006
Subgradients of minimal time functions under minimal requirements. Zbl 1248.49020
Mordukhovich, Boris S.; Nam, Nguyen Mau
2011
Calderón-Zygmund estimates for systems of $$\varphi$$-growth. Zbl 1207.49047
Verde, Anna
2011
On a problem of potential wells. Zbl 0880.49005
Cellina, Arrigo; Perrotta, Stefania
1995
On the algebraic properties of convex bodies and some applications. Zbl 0964.52001
Markov, Svetoslav
2000
Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. Zbl 0911.49014
Jeyakumar, V.; Luc, D. T.; Schaible, S.
1998
$$\Gamma$$-convergence for the irrigation problem. Zbl 1076.49024
Mosconi, Sunra J. N.; Tilli, Paolo
2005
A class of variable metric decomposition methods for monotone variational inclusions. Zbl 1183.49011
Lotito, P. A.; Parente, L. A.; Solodov, M.
2009
Bauschke, H. H.; Combettes, P. L.
2010
Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: a case study. Zbl 1350.65057
Bauschke, Heinz H.; Dao, Minh N.; Noll, Dominikus; Phan, Hung M.
2016
A regularity result for asymptotically convex problems with lower order terms. Zbl 1245.35009
Passarelli di Napoli, A.; Verde, A.
2008
Positively $$\alpha$$-far sets and existence results for generalized perturbed sweeping processes. Zbl 1350.49015
Jourani, A.; Vilches, E.
2016
Moreau sweeping process with bounded truncated retraction. Zbl 1360.34032
Thibault, Lionel
2016
Quasistatic evolution problems for nonhomogeneous elastoplastic materials. Zbl 1166.74006
Solombrino, Francesco
2009
Necessary and sufficient conditions for polyconvexity of isotropic functions. Zbl 1098.49013
Mielke, Alexander
2005
Linear structures in the set of norm-attaining functionals on a Banach space. Zbl 1118.46024
2006
Structure of efficient sets for strictly quasi convex objectives. Zbl 0836.90130
Malivert, C.; Boissard, N.
1994
A general approach to dual characterizations of solvability of inequality systems with applications. Zbl 0840.52001
Rubinov, A. M.; Glover, B. M.; Jeyakumar, V.
1995
Subdifferential calculus without qualification assumptions. Zbl 0874.49016
Penot, Jean-Paul
1996
Shape optimization problems over classes of convex domains. Zbl 0921.49030
Buttazzo, Giuseppe; Guasoni, Paolo
1997
Well-posedness of inverse variational inequalities. Zbl 1146.49023
Hu, Rong; Fang, Ya-Ping
2008
Infimal convolutions and Lipschitzian properties of subdifferentials for prox-regular functions in Hilbert spaces. Zbl 1207.49015
Bacak, M.; Borwein, J. M.; Eberhard, A.; Mordukhovich, B. S.
2010
Quantitative results on the proximal point algorithm in uniformly convex Banach spaces. Zbl 1461.47024
Kohlenbach, Ulrich
2021
On $$BV$$ homeomorphisms. Zbl 07356998
D&rsquo;Onofrio, Luigi; Malý, Jan; Sbordone, Carlo; Schiattarella, Roberta
2021
On some quasi-variational inequalities and other problems with moving sets. Zbl 1466.35209
Menaldi, José-Luis; Rautenberg, Carlos N.
2021
Preconditioned proximal point methods and notions of partial subregularity. Zbl 1455.49012
Valkonen, Tuomo
2021
Daugavet- and Delta-points in absolute sums of Banach spaces. Zbl 1459.46012
Haller, Rainis; Pirk, Katriin; Veeorg, Triinu
2021
A varifold perspective on the $$p$$-elastic energy of planar sets. Zbl 1446.49032
Pozzetta, Marco
2020
Nonlinear transversality of collections of sets: dual space necessary characterizations. Zbl 1440.49018
Cuong, Nguyen Duy; Kruger, Alexander Y.
2020
Integration of multifunctions with closed convex values in arbitrary Banach spaces. Zbl 1461.28007
Candeloro, Domenico; Di Piazza, Luisa; Musial, Kazimierz; Sambucini, Anna Rita
2020
Characterization of approximate Birkhoff-James orthogonality sets in a Banach space. Zbl 1457.46019
Sen, Jeet; Mal, Arpita; Paul, Kallol
2020
On formulae for the Ioffe geometric subdifferential of a supremum function. Zbl 1440.49017
Pérez-Aros, Pedro; Salas, David; Vilches, Emilio
2020
Existence of solutions for sweeping processes with local conditions. Zbl 07232721
Le, Ba Khiet
2020
The plasticity of some mass transportation networks in the three dimensional Euclidean space. Zbl 1448.51004
Zachos, Anastasios N.
2020
What is the best viscous approximation to a rate-independent process? Zbl 1446.49008
Krejcí, Pavel; Monteiro, Giselle A.
2020
Lower bound of the upper topological limit of a sequence of subspaces. Zbl 1454.46026
Arutyunov, Aram V.
2020
Lipschitz stability of extremal problems with a strongly convex set. Zbl 1440.46020
Balashov, Maxim V.
2020
A uniform approach to Hölder calmness of subdifferentials. Zbl 1439.49030
Beer, Gerald; Cánovas, María Josefa; López, Marco Antonio; Parra, Juan
2020
Regularization for optimal control problems associated to nonlinear evolution equations. Zbl 1439.49039
Meinlschmidt, Hannes; Meyer, Christian; Rehberg, Joachim
2020
Optimality conditions for nonconvex variational problems with integral constraints in Banach spaces. Zbl 1439.49011
Sagara, Nobusumi
2020
Existence and relaxation of BV solutions for a sweeping process with a nonconvex-valued perturbation. Zbl 1439.49033
Timoshin, Sergey A.; Tolstonogov, Alexander A.
2020
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Metrizable bounded sets in $$C(X)$$ spaces and distinguished $$C_p(X)$$ spaces. Zbl 1431.54010
Ferrando, Juan Carlos; Kąkol, Jerzy
2019
Valadier-like formulas for the supremum function. II: The compactly indexed case. Zbl 1428.26025
Correa, Rafael; Hantoute, Abderrahim; López, Marco Antonio
2019
Inequalities for Orlicz mixed quermassintegrals. Zbl 1411.52003
Zhao, Chang-Jian
2019
On approximate Birkhoff-James orthogonality and normal cones in a normed space. Zbl 1420.46019
Sain, Debmalya; Paul, Kallol; Mal, Arpita
2019
Examples of nondistinguished function spaces $$C_p(X)$$. Zbl 1446.46001
Ferrando, Juan Carlos; Kąkol, Jerzy; Saxon, Stephen A.
2019
A framework for Wasserstein-1-type metrics. Zbl 1426.49032
Schmitzer, Bernhard; Wirth, Benedikt
2019
Orthogonality in generalized Minkowski spaces. Zbl 1421.46016
Jahn, Thomas
2019
A guided tour of polyhedric sets: basic properties, new results on intersections and applications. Zbl 1412.52006
Wachsmuth, Gerd
2019
Extreme contractions on finite-dimensional polygonal Banach spaces. Zbl 1428.46011
Sain, Debmalya; Ray, Anubhab; Paul, Kallol
2019
The minimizing vector theorem in symmetrized max-plus algebra. Zbl 1429.15024
Özel, Cenap; Piękosz, Artur; Wajch, Eliza; Zekraoui, Hanifa
2019
Weak compactness of sublevel sets in complete locally convex spaces. Zbl 1431.46056
Pérez-Aros, Pedro; Thibault, Lionel
2019
Functional characterizations of countable Tychonoff spaces. Zbl 1442.54014
Ferrando, Juan Carlos; Gabriyelyan, Saak; Kakol, Jerzy
2019
Convexity of suns in tangent directions. Zbl 1441.46012
Alimov, Alexey R.; Shchepin, Evgeny V.
2019
Convex bodies associated to tensor norms. Zbl 1442.46056
Fernández-Unzueta, Maite; Higueras-Montaño, Luisa F.
2019
A constant step forward-backward algorithm involving random maximal monotone operators. Zbl 07079312
Bianchi, Pascal; Hachem, Walid; Salim, Adil
2019
On inequalities for convex functions. Zbl 1418.26005
Bernal-González, Luis; Jiménez-Rodríguez, Pablo; Munoz-Fernández, Gustavo A.; Seoane-Sepúlveda, Juan B.
2019
Sets with the unique footpoint property and $$\varphi$$-convex subsets of Riemannian manifolds. Zbl 1420.58004
2019
Quadratic fractional programming under asymptotic analysis. Zbl 1409.90128
Lara, Felipe
2019
Fixed points of Legendre-Fenchel type transforms. Zbl 07036242
Iusem, Alfredo N.; Reem, Daniel; Reich, Simeon
2019
On a decomposition formula for the proximal operator of the sum of two convex functions. Zbl 1431.46055
Adly, Samir; Bourdin, Loïc; Caubet, Fabien
2019
Some strong laws of large numbers for double arrays of random sets with gap topology. Zbl 07118224
Quang, Nguyen Van; Giap, Duong Xuan; Ngoc, Bui Nguyen Tram; Hu, Tien-Chung
2019
The plasticity of non-overlapping convex sets in $$\mathbb{R}^2$$. Zbl 1434.52005
Zachos, Anastasios N.
2019
Erratum to: Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions. Zbl 1447.49059
Bandle, Catherine; Wagner, Alfred
2019
Existence and regularity of optimal convex shapes for functionals involving the Robin eigenvalues. Zbl 1429.49044
Cito, Simone
2019
Fenchel-Moreau conjugation inequalities with three couplings and application to the stochastic Bellman equation. Zbl 1434.46048
Chancelier, Jean-Philippe; De Lara, Michel
2019
On the $$\mathbb{H}$$-cone-functions for H-convex sets. Zbl 1435.26006
Calogero, Andrea; Pini, Rita
2019
Multicones, duality and matrix invariance. Zbl 1425.15036
Brundu, Michela; Zennaro, Marino
2019
Positive solutions for nonlinear Robin problems with concave terms. Zbl 1436.35113
Gasiński, Leszek; Papageorgiou, Nikolaos S.; Winowski, Krzysztof
2019
Asymptotic behavior of solutions to a second-order gradient equation of pseudo-convex type. Zbl 1435.34061
2019
Convexity of the distance function to convex subsets of Riemannian manifolds. Zbl 1431.52003
2019
Starshaped and convex sets in Carnot groups and in the geometries of vector fields. Zbl 1428.35654
Dragoni, Federica; Filali, Doaa
2019
Local properties of the surface measure of convex bodies. Zbl 1436.52002
Plakhov, Alexander
2019
Asymptotic Hyers-Ulam stability or superstability for generalized linear equations by unilateral perturbations. Zbl 1416.39017
Peppo, Cathérine
2019
A Fenchel-Moreau theorem for $$\bar{L}^0$$-valued functions. Zbl 1423.46103
Drapeau, Samuel; Jamneshan, Asgar; Kupper, Michael
2019
Polar convexity and critical points of polynomials. Zbl 1422.30009
Sendov, Blagovest; Sendov, Hristo; Wang, Chun
2019
Convex decompositions of convex open sets with polytopes or finite sets removed. Zbl 07079327
Pintea, Cornel
2019
Vertices, edges and facets of the unit ball. Zbl 1433.46008
Garcia-Pacheco, Francisco J.
2019
Subgradients of minimal time functions without calmness. Zbl 1412.49035
Nam, Nguyen Mau; Cuong, Dang Van
2019
On representing and hedging claims for coherent risk measures. Zbl 1419.91371
Jacka, Saul; Armstrong, Seb; Berkaoui, Abdelkarem
2019
A forward-backward-forward differential equation and its asymptotic properties. Zbl 1400.34102
2018
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223
2018
Identification in variational and quasi-variational inequalities. Zbl 1391.49012
Gwinner, Joachim; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
2018
Subdifferentials of nonconvex integral functionals in Banach spaces with applications to stochastic dynamic programming. Zbl 1392.49020
Mordukhovich, Boris S.; Sagara, Nobusumi
2018
Variational analysis of spectral functions simplified. Zbl 1398.49012
Drusvyatskiy, D.; Paquette, C.
2018
Second order asymptotic functions and applications to quadratic programming. Zbl 1390.90415
Iusem, Alfredo N.; Lara, Felipe
2018
On super weak compactness of subsets and its equivalences in Banach spaces. Zbl 1408.46014
Cheng, Lixin; Cheng, Qingjin; Luo, Sijie; Tu, Kun; Zhang, Jichao
2018
Asymptotic planes and closedness conditions for linear images and vector sums of sets. Zbl 1405.52003
Soltan, Valeriu
2018
Kantorovich-type theorems for generalized equations. Zbl 1393.49021
2018
Diametral diameter two properties in Banach spaces. Zbl 1403.46008
Becerra Guerrero, Julio; López-Pérez, Ginés; Rueda Zoca, Abraham
2018
Tight SDP relaxations for a class of robust SOS-convex polynomial programs without the Slater condition. Zbl 1429.90085
Chuong, T. D.; Jeyakumar, V.
2018
Valadier-like formulas for the supremum function. I. Zbl 1404.26015
Correa, R.; Hantoute, A.; López, M. A.
2018
Duality and optimality conditions in stochastic optimization and mathematical finance. Zbl 1408.90208
Biagini, Sara; Pennanen, Teemu; Perkkiö, Ari-Pekka
2018
Generalized variational inequality and general equilibrium problem. Zbl 1392.49022
Donato, Maria B.; Milasi, Monica; Vitanza, Carmela
2018
Minimization of quadratic functions on convex sets without asymptotes. Zbl 1397.90293
Martínez-Legaz, Juan-Enrique; Noll, Dominikus; Sosa, Wilfredo
2018
Generalized Takagi-van der Waerden functions and their subdifferentials. Zbl 1406.26001
Ferrera, Juan; Gil, Javier Gómez
2018
On a cosine function defined for smooth normed spaces. Zbl 1398.46012
2018
On the monotonicity of perimeter of convex bodies. Zbl 1390.52009
Stefani, Giorgio
2018
Optimal transportation with boundary costs and summability estimates on the transport density. Zbl 1391.35093
Dweik, Samer
2018
Chance-constrained convex mixed-integer optimization and beyond: two sampling algorithms within $$S$$-optimization. Zbl 1390.90405
De Loera, J. A.; La Haye, R. N.; Oliveros, D.; Roldán-Pensado, E.
2018
On minimax theorems for lower semicontinuous functions in Hilbert spaces. Zbl 1401.32010
Bednarczuk, Ewa M.; Syga, Monika
2018
Uniform rotundity with respect to finite-dimensional subspaces. Zbl 1411.46013
Sangeetha, M. Veena; Veeramani, P.
2018
On proximal mappings with Young functions in uniformly convex Banach spaces. Zbl 1410.46005
Bačák, Miroslav; Kohlenbach, Ulrich
2018
Conic James’ compactness theorem. Zbl 1414.46008
Orihuela, J.
2018
Regularization via sets satisfying the interior sphere condition. Zbl 1394.49015
Nour, Chadi; Saoud, Hassan; Takche, Jean
2018
Operator systems and convex sets with many normal cones. Zbl 1392.52002
Weis, Stephan
2018
Minimax representation of nonexpansive functions and application to zero-sum recursive games. Zbl 1386.49009
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
2018
Radial solutions and free boundary of the elastic-plastic torsion problem. Zbl 1465.35416
Giuffrè, Sofia; Pratelli, Aldo; Puglisi, Daniele
2018
Conglomerability and representations. Zbl 1400.28008
Cassese, Gianluca
2018
Elliptic-regularization of nonpotential perturbations of doubly-nonlinear flows of nonconvex energies: a variational approach. Zbl 1436.47020
Akagi, Goro; Melchionna, Stefano
2018
Topological derivative: a semidifferential via the Minkowski content. Zbl 1410.49051
Delfour, Michel C.
2018
Measuring axial symmetry in convex cones. Zbl 06927789
Seeger, Alberto; Torki, Mounir
2018
A new class of sets regularity. Zbl 1404.49009
2018
Some geometric and proximinality properties in Banach spaces. Zbl 1409.46010
Shunmugaraj, P.; Thota, V.
2018
Reduced and minimally convex pairs of sets. Zbl 1406.52002
Grzybowski, J.; Pallaschke, D.; Przybycień, H.; Urbański, R.
2018
Fréchet barycenters in the Monge-Kantorovich spaces. Zbl 06985444
Kroshnin, Alexey
2018
Vector measures with values in $$\ell^{\infty}(\Gamma)$$ and interpolation of Banach lattices. Zbl 1408.46031
Sánchez Pérez, E. A.; Szwedek, R.
2018
On semiconcavity via the second difference. Zbl 1390.26024
Zajíček, Luděk
2018
Convex optimization of second order discrete and differential inclusions with inequality constraints. Zbl 1386.49027
Mahmudov, Elimhan N.
2018
Two positive solutions for superlinear Neumann problems with a complete Sturm-Liouville operator. Zbl 1406.34054
Bonanno, Gabriele; Iannizzotto, Antonio; Marras, Monica
2018
New challenges on the regularity of minimizers of functionals. Zbl 1405.49028
Ragusa, Maria Alessandra; Tachikawa, Atsushi
2018
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#### Cited by 4,232 Authors

 54 Yao, Jen-Chih 47 Mordukhovich, Boris S. 45 Bauschke, Heinz H. 42 Boţ, Radu Ioan 36 Wang, Shawn Xianfu 33 López-Cerdá, Marco Antonio 33 Thibault, Lionel 28 Hantoute, Abderrahim 28 Jeyakumar, Vaithilingam 27 Csetnek, Ernö Robert 27 Kruger, Alexander Ya. 27 Penot, Jean-Paul 26 Cho, Yeol Je 24 Reich, Simeon 24 Volle, Michel 23 Borwein, Jonathan Michael 23 Théra, Michel A. 23 Yao, Yonghong 22 Iusem, Alfredo Noel 22 Novo-Sanjurjo, Vicente 21 Attouch, Hedy 21 Huang, Nan-Jing 21 Liou, Yeongcheng 21 Pečarić, Josip 20 Adly, Samir 20 Correa, Rafael 20 Seeger, Alberto 20 Shehu, Yekini 20 Suantai, Suthep 20 Takahashi, Wataru 19 Combettes, Patrick L. 19 Goberna, Miguel Angel 18 Chang, Shih-Sen 18 Dinh The Luc 17 Ceng, Lu-Chuan 17 Hadjisavvas, Nicolas 17 Li, Chong 17 Li, Guoyin 17 Martínez-Legaz, Juan-Enrique 17 Mewomo, Oluwatosin Temitope 17 Svaiter, Benar Fux 16 Balashov, Maxim Viktorovich 16 Cheng, Lixin 16 Nam, Nguyen Mau 16 Oliveira, Paulo Roberto 16 Peypouquet, Juan 16 Rueda Zoca, Abraham 16 Trương Minh Tuyên 15 Gutiérrez, César 15 Martini, Horst 15 Peng, Jianwen 15 Wanka, Gert 14 Chu, Yuming 14 Durea, Marius 14 Ioffe, Alexander Davidovich 14 Lewis, Adrian S. 14 Peyré, Gabriel 14 Pini, Rita 14 Yang, Xinmin 14 Yao, Liangjin 13 Ansari, Qamrul Hasan 13 Aussel, Didier 13 Crasta, Graziano 13 Cui, Yunan 13 Fragalà, Ilaria 13 Huynh Van Ngai 13 Mingione, Giuseppe 13 Nour, Chadi 13 Pang, Liping 13 Pérez-Aros, Pedro 13 Ruiz Galán, Manuel 13 Sánchez-Pérez, Enrique Alfonso 12 Cholamjiak, Prasit 12 Dontchev, Asen L. 12 Hudzik, Henryk 12 Jiménez, Bienvenido 12 Kumam, Poom 12 Leonetti, Francesco 12 Ng, Kung-Fu 12 Niezgoda, Marek 12 Rossi, Riccarda 12 Zachos, Anastasios N. 12 Zălinescu, Constantin 11 Azzam-Laouir, Dalila 11 Balooee, Javad 11 Bianchi, Monica 11 Bounkhel, Messaoud 11 Cibulka, Radek 11 Colombo, Giovanni 11 Cotrina, John 11 Daniilidis, Aris 11 Dao, Minh Ngoc 11 Drusvyatskiy, Dmitriy 11 Eberhard, Andrew C. 11 Fadili, Jalal M. 11 Flores-Bazán, Fabián 11 Frankowska, Hélène 11 Kassay, Gábor 11 Kim, Jong Kyu 11 Kristensen, Jan ...and 4,132 more Authors
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#### Cited in 476 Journals

 311 Journal of Optimization Theory and Applications 288 Journal of Mathematical Analysis and Applications 212 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 159 Set-Valued and Variational Analysis 137 Journal of Global Optimization 133 Mathematical Programming. Series A. Series B 103 SIAM Journal on Optimization 99 Journal of Convex Analysis 89 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 88 Optimization 87 Optimization Letters 75 Calculus of Variations and Partial Differential Equations 73 Journal of Differential Equations 73 Fixed Point Theory and Applications 65 Computational Optimization and Applications 64 Archive for Rational Mechanics and Analysis 55 Journal of Inequalities and Applications 52 Journal of Functional Analysis 49 Abstract and Applied Analysis 47 Transactions of the American Mathematical Society 44 Journal of Fixed Point Theory and Applications 44 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 42 Positivity 40 Vietnam Journal of Mathematics 36 Applied Mathematics and Optimization 36 Proceedings of the American Mathematical Society 36 Set-Valued Analysis 35 Numerical Algorithms 33 Linear Algebra and its Applications 32 SIAM Journal on Mathematical Analysis 29 Journal of Nonlinear Science and Applications 28 SIAM Journal on Control and Optimization 26 Journal de Mathématiques Pures et Appliquées. Neuvième Série 25 European Journal of Operational Research 24 Mathematics of Operations Research 23 Annali di Matematica Pura ed Applicata. Serie Quarta 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Mediterranean Journal of Mathematics 21 Journal of Approximation Theory 21 Results in Mathematics 20 Computers & Mathematics with Applications 20 Applied Mathematics and Computation 20 Top 20 Journal of Function Spaces 19 Aequationes Mathematicae 19 Discrete and Continuous Dynamical Systems 19 Journal of Applied Mathematics 18 Journal of Computational and Applied Mathematics 18 Operations Research Letters 18 Acta Mathematica Sinica. English Series 17 Numerical Functional Analysis and Optimization 17 The Journal of Geometric Analysis 16 Rendiconti del Circolo Matemàtico di Palermo. Serie II 16 Applied Mathematics Letters 16 NoDEA. Nonlinear Differential Equations and Applications 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Systems & Control Letters 15 Acta Applicandae Mathematicae 15 Nonlinear Analysis. Real World Applications 14 Topology and its Applications 14 Journal of Mathematical Sciences (New York) 14 Discrete and Continuous Dynamical Systems. Series S 12 Fuzzy Sets and Systems 12 Manuscripta Mathematica 12 Ricerche di Matematica 12 Mathematical and Computer Modelling 12 Computational and Applied Mathematics 12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Communications on Pure and Applied Analysis 11 Inverse Problems 11 Israel Journal of Mathematics 11 Advances in Mathematics 11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 11 Journal of Elasticity 11 Journal of Mathematical Imaging and Vision 11 Mathematical Methods of Operations Research 10 Applicable Analysis 10 Mathematical Notes 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Mathematische Nachrichten 10 Communications in Contemporary Mathematics 10 Journal of Nonlinear and Variational Analysis 9 Numerische Mathematik 9 Zeitschrift für Analysis und ihre Anwendungen 9 Journal of Industrial and Management Optimization 9 Proceedings of the Steklov Institute of Mathematics 9 Nonlinear Analysis. Hybrid Systems 9 SIAM Journal on Imaging Sciences 9 Afrika Matematika 9 Nonlinear Analysis. Theory, Methods & Applications 9 Bollettino dell’Unione Matematica Italiana 8 Studia Mathematica 8 Automatica 8 Monatshefte für Mathematik 8 Annals of Operations Research 8 Potential Analysis 8 SIAM Journal on Scientific Computing 8 Optimization Methods & Software 8 Milan Journal of Mathematics 8 Central European Journal of Mathematics ...and 376 more Journals
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#### Cited in 59 Fields

 1,782 Calculus of variations and optimal control; optimization (49-XX) 1,492 Operations research, mathematical programming (90-XX) 1,030 Operator theory (47-XX) 705 Partial differential equations (35-XX) 663 Functional analysis (46-XX) 537 Numerical analysis (65-XX) 336 Real functions (26-XX) 312 Convex and discrete geometry (52-XX) 224 Mechanics of deformable solids (74-XX) 208 Ordinary differential equations (34-XX) 171 General topology (54-XX) 171 Global analysis, analysis on manifolds (58-XX) 150 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 135 Measure and integration (28-XX) 123 Systems theory; control (93-XX) 108 Probability theory and stochastic processes (60-XX) 85 Differential geometry (53-XX) 74 Approximations and expansions (41-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 65 Computer science (68-XX) 54 Information and communication theory, circuits (94-XX) 50 Fluid mechanics (76-XX) 46 Dynamical systems and ergodic theory (37-XX) 45 Statistics (62-XX) 43 Difference and functional equations (39-XX) 39 Geometry (51-XX) 38 Statistical mechanics, structure of matter (82-XX) 32 Functions of a complex variable (30-XX) 27 Quantum theory (81-XX) 22 Biology and other natural sciences (92-XX) 21 Mathematical logic and foundations (03-XX) 21 Integral equations (45-XX) 19 Several complex variables and analytic spaces (32-XX) 17 Potential theory (31-XX) 16 Combinatorics (05-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Mechanics of particles and systems (70-XX) 15 Topological groups, Lie groups (22-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Algebraic geometry (14-XX) 13 History and biography (01-XX) 10 Abstract harmonic analysis (43-XX) 9 Special functions (33-XX) 9 Sequences, series, summability (40-XX) 8 General and overarching topics; collections (00-XX) 8 Optics, electromagnetic theory (78-XX) 6 Category theory; homological algebra (18-XX) 6 Integral transforms, operational calculus (44-XX) 6 Manifolds and cell complexes (57-XX) 6 Geophysics (86-XX) 4 Number theory (11-XX) 4 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 4 Relativity and gravitational theory (83-XX) 3 General algebraic systems (08-XX) 3 Associative rings and algebras (16-XX) 2 Mathematics education (97-XX)