## 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: 1,413 Publications (since 1994) References Indexed: 361 Publications with 8,171 References.
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### Latest Issues

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### Authors

 17 Borwein, Jonathan Michael 17 Svaiter, Benar Fux 14 Martínez-Legaz, Juan-Enrique 14 Seeger, Alberto 13 Iusem, Alfredo Noel 13 Takahashi, Wataru 13 Zajíček, Luděk 12 Zachos, Anastasios N. 11 Zălinescu, Constantin 10 Balashov, Maxim Viktorovich 10 Buttazzo, Giuseppe 10 Mordukhovich, Boris S. 10 Paul, Kallol 10 Simons, Stephen 9 Ioffe, Alexander Davidovich 9 Jeyakumar, Vaithilingam 9 López-Cerdá, Marco Antonio 9 Muñoz-Fernández, Gustavo Adolfo 9 Nour, Chadi 9 Seoane-Sepúlveda, Juan Benigno 9 Thibault, Lionel 8 Adly, Samir 8 Bauschke, Heinz H. 8 Ivanov, Grigorii E. 8 Kąkol, Jerzy 8 Martini, Horst 8 Reich, Simeon 8 Sain, Debmalya 8 Soltan, Valeriu 8 Zaslavski, Alexander Yakovlevich 7 Attouch, Hedy 7 Beer, Gerald Alan 7 Carlier, Guillaume 7 Correa, Rafael 7 Cui, Yunan 7 Ivanov, Milen 7 Marques Alves, Maicon 7 Penot, Jean-Paul 7 Sadarangani, Kishin B. 7 Sendov, Hristo S. 7 Urbański, Ryszard 7 Valadier, Michel 7 Veselý, Libor 7 Volle, Michel 7 Zamfirescu, Tudor I. 7 Zlateva, Nadia P. 6 Daniilidis, Aris 6 Dontchev, Asen L. 6 Hadjisavvas, Nicolas 6 Hantoute, Abderrahim 6 Musial, Kazimierz 6 Nam, Nguyen Mau 6 Niezgoda, Marek 6 Novo-Sanjurjo, Vicente 6 Pallaschke, Diethard 6 Rubinov, Aleksandr Moiseevich 6 Stern, Ronald Jay 6 Théra, Michel A. 6 Zhang, Kewei 5 Bellettini, Giovanni 5 Bouchitté, Guy 5 Bueno, Orestes 5 Butnariu, Dan 5 Dinh The Luc 5 Eberhard, Andrew C. 5 Grzybowski, Jerzy 5 Jiménez, Bienvenido 5 Monteiro Marques, Manuel D. P. 5 Papageorgiou, Nikolaos S. 5 Pedregal, Pablo 5 Płuciennik, Ryszard 5 Quang, Nguyen Van 5 Rockafellar, Ralph Tyrrell 5 Takche, Jean 5 Vanderwerff, Jon D. 5 Verona, Andrei 5 Verona, Maria Elena 5 Wang, Shawn Xianfu 5 Weis, Stephan 5 Yao, Liangjin 5 Zouzoulas, Gerasimos 4 Alvarez, Felipe 4 Aubin, Jean-Pierre 4 Aussel, Didier 4 Azé, Dominique 4 Balestro, Vitor 4 Bessenyei, Mihály 4 Boccardo, Lucio 4 Boţ, Radu Ioan 4 Brogliato, Bernard 4 Bucur, Dorin 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 Figueiredo, Giovany Malcher ...and 1,409 more Authors
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### Fields

 634 Calculus of variations and optimal control; optimization (49-XX) 357 Functional analysis (46-XX) 304 Convex and discrete geometry (52-XX) 254 Operations research, mathematical programming (90-XX) 231 Operator theory (47-XX) 202 Real functions (26-XX) 137 Partial differential equations (35-XX) 78 General topology (54-XX) 67 Measure and integration (28-XX) 64 Global analysis, analysis on manifolds (58-XX) 60 Ordinary differential equations (34-XX) 57 Numerical analysis (65-XX) 52 Mechanics of deformable solids (74-XX) 46 Approximations and expansions (41-XX) 35 Probability theory and stochastic processes (60-XX) 31 Differential geometry (53-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Difference and functional equations (39-XX) 22 Systems theory; control (93-XX) 20 Geometry (51-XX) 10 History and biography (01-XX) 10 Functions of a complex variable (30-XX) 10 Information and communication theory, circuits (94-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Topological groups, Lie groups (22-XX) 7 Combinatorics (05-XX) 6 Mathematical logic and foundations (03-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 5 General and overarching topics; collections (00-XX) 5 Algebraic geometry (14-XX) 5 Potential theory (31-XX) 4 Special functions (33-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Field theory and polynomials (12-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 3 Sequences, series, summability (40-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

1,032 Publications have been cited 7,152 times in 5,372 Documents Cited by Year
The split common fixed point problem for directed operators. Zbl 1189.65111
Censor, Yair; Segal, Alexander
2009
Proximal smoothness and the lower-$$C^ 2$$ property. Zbl 0881.49008
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
1995
Legendre functions and the method of random Bregman projections. Zbl 0894.49019
Bauschke, Heinz G.; Borwein, Jonathan M.
1997
A hybrid projection-proximal point algorithm. Zbl 0961.90128
Solodov, M. V.; Svaiter, B. F.
1999
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
Iterative construction of the resolvent of a sum of maximal monotone operators. Zbl 1193.47067
Combettes, Patrick L.
2009
Non-uniform integrability and generalized Young measures. Zbl 0981.49012
Alibert, J. J.; Bouchitté, G.
1997
On existence theorems for monotone and nonmonotone variational inequalities. Zbl 1192.47052
Maugeri, A.; Raciti, F.
2009
On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040
Efendiev, Messoud A.; Mielke, Alexander
2006
Characterization of metric regularity of subdifferentials. Zbl 1146.49012
Aragón Artacho, Francisco. J.; Geoffroy, Michel H.
2008
A general duality principle for the sum of two operators. Zbl 0861.47028
Attouch, H.; Théra, M.
1996
Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time. Zbl 1214.47080
Peypouquet, Juan; Sorin, Sylvain
2010
The convex analysis of unitarily invariant matrix functions. Zbl 0860.15026
Lewis, A. S.
1995
An explicit descent method for bilevel convex optimization. Zbl 1145.90081
Solodov, Mikhail
2007
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
Maximal monotonicity via convex analysis. Zbl 1111.47042
Borwein, Jonathan M.
2006
A systematization of convexity concepts for sets and functions. Zbl 0885.52003
Breckner, Wolfgang W.; Kassay, Gábor
1997
A unified theory for metric regularity of multifunctions. Zbl 1101.49013
Azé, D.
2006
Continuity and maximality properties of pseudomonotone operators. Zbl 1063.47041
2003
From linear to convex systems: consistency, Farkas’ lemma and applications. Zbl 1137.90684
Dinh, N.; Goberna, M. A.; López, M. A.
2006
A dual condition for the convex subdifferential sum formula with applications. Zbl 1098.49017
Burachik, R. S.; Jeyakumar, V.
2005
The Graves theorem revisited. Zbl 0867.46036
Dontchev, Asen L.
1996
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
Existence and uniqueness of solution of unilateral problems with $$L^1$$ data. Zbl 0958.47038
Boccardo, L.; Cirmi, G. R.
1999
On nonconvex subdifferential calculus in Banach spaces. Zbl 0838.49013
Mordukhovich, Boris S.; Shao, Yongheng
1995
Exponential convexity method. Zbl 1275.26038
Jakšetić, Julije; Pečarić, Josip
2013
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
Second-order growth, tilt stability, and metric regularity of the subdifferential. Zbl 1311.49035
Drusvyatskiy, D.; Mordukhovich, B. S.; Nghia, T. T. A.
2014
Inexact and accelerated proximal point algorithms. Zbl 1283.90030
Salzo, Saverio; Villa, Silvia
2012
Farkas-type results and duality for DC programs with convex constraints. Zbl 1145.49016
Dinh, Nguyen; Vallet, Guy; Nghia, T. T. A.
2008
Consistency of minimizers and the SLLN for stochastic programs. Zbl 0837.90093
Artstein, Zvi; Wets, Roger J. B.
1995
Convergence theorems for a pair of nonexpansive mappings. Zbl 0916.47042
Takahashi, Wataru; Tamura, Takayuki
1998
Characterizations of prox-regular sets in uniformly convex Banach spaces. Zbl 1121.49014
Bernard, Frédéric; Thibault, Lionel; Zlateva, Nadia
2006
Maximal monotone operators and maximal monotone functions for equilibrium problems. Zbl 1165.47036
Aoyama, Koji; Kimura, Yasunori; Takahashi, Wataru
2008
Subdifferential characterization of quasiconvexity and convexity. Zbl 0832.49010
Aussel, Didier; Corvellec, Jean-Noël; Lassonde, Marc
1994
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
Limits of discrete systems with long-range interactions. Zbl 1031.49022
Braides, Andrea; Gelli, Maria Stella
2002
The Schur geometrical convexity of the extended mean values. Zbl 1163.26004
Chu, Yuming; Zhang, Xiaoming; Wang, Gendi
2008
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
Variational analysis for a class of minimal time functions in Hilbert spaces. Zbl 1059.49028
Colombo, Giovanni; Wolenski, Peter R.
2004
On total convexity, Bregman projection and stability in Banach spaces. Zbl 1080.46010
Resmerita, Elena
2004
On a class of multidimensional optimal transportation problems. Zbl 1084.49037
Carlier, G.
2003
Best constants in Poincaré inequalities for convex domains. Zbl 1263.35010
Esposito, Luca; Nitsch, Carlo; Trombetti, Cristina
2013
Remarks on diameter 2 properties. Zbl 1274.46027
Abrahamsen, Trond; Lima, Vegard; Nygaard, Olav
2013
Partial and full boundary regularity for minimizers of functionals with nonquadratic growth. Zbl 1066.49022
Duzaar, Frank; Grotowski, Joseph F.; Kronz, Manfred
2004
Principles of comparison with distance functions for absolute minimizers. Zbl 1128.49024
Champion, Thierry; De Pascale, Luigi
2007
Moreau sweeping process with bounded truncated retraction. Zbl 1360.34032
Thibault, Lionel
2016
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
The split common fixed point problem and the shrinking projection method in Banach spaces. Zbl 06843163
Takahashi, Wataru
2017
Existence and uniqueness of solutions for non-autonomous complementarity dynamical systems. Zbl 1217.34026
Brogliato, B.; Thibault, L.
2010
The $$p$$-Laplace eigenvalue problem as $$p\to 1$$ and Cheeger sets in a Finsler metric. Zbl 1186.35115
Kawohl, B; Novaga, M
2008
Bounded linear regularity, strong CHIP, and CHIP are distinct properties. Zbl 0964.90032
Bauschke, Heinz H.; Borwein, Jonathan M.; Tseng, Paul
2000
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
Energy functionals on certain fractal structures. Zbl 1018.28005
Mosco, Umberto
2002
On the algebraic properties of convex bodies and some applications. Zbl 0964.52001
Markov, Svetoslav
2000
On duality of diameter 2 properties. Zbl 1337.46007
Haller, Rainis; Langemets, Johann; Põldvere, Märt
2015
An existence result for quasi-equilibrium problems. Zbl 1364.49008
Aussel, Didier; Cotrina, John; Iusem, Alfredo N.
2017
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
Compactly epi-Lipschitzian convex sets and functions in normed spaces. Zbl 0989.49018
Borwein, Jonathan; Lucet, Yves; Mordukhovich, Boris
2000
Some remarks about the density of smooth functions in weighted Sobolev spaces. Zbl 0865.46019
Chiadò Piat, Valeria; Serra Cassano, Francesco
1994
Fréchet-Legendre functions and reflexive Banach spaces. Zbl 1206.58004
Borwein, J. M.; Vanderwerff, J.
2010
Evolution problems associated with primal lower nice functions. Zbl 1102.49012
Marcellin, Sylvie; Thibault, Lionel
2006
Set-semidefinite optimization. Zbl 1172.90013
Eichfelder, Gabriele; Jahn, Johannes
2008
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
Positively $$\alpha$$-far sets and existence results for generalized perturbed sweeping processes. Zbl 1350.49015
Jourani, A.; Vilches, E.
2016
Monotone linear relations: maximality and Fitzpatrick functions. Zbl 1193.47004
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2009
Total convexity for powers of the norm in uniformly convex Banach spaces. Zbl 0971.46005
Butnariu, Dan; Iusem, Alfredo N.; Resmerita, Elena
2000
Geodetically convex sets in the Heisenberg group. Zbl 1077.53030
Monti, Roberto; Rickly, Matthieu
2005
Proximal points are on the fast track. Zbl 1037.49031
Mifflin, Robert; Sagastizábal, Claudia
2002
Identification in variational and quasi-variational inequalities. Zbl 1391.49012
Gwinner, Joachim; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
2018
Pettis integrability of multifunctions with values in arbitrary Banach spaces. Zbl 1245.28011
Musial, Kazimierz
2011
Local uniform rotundity in Calderón-Lozanovskiĭ spaces. Zbl 1159.46018
Foralewski, Paweł; Kolwicz, Paweł
2007
Maximum principle for vector valued minimizers. Zbl 1098.49033
Leonetti, Francesco; Siepe, Francesco
2005
A class of variable metric decomposition methods for monotone variational inclusions. Zbl 1183.49011
Lotito, P. A.; Parente, L. A.; Solodov, M.
2009
Subdifferential calculus without qualification assumptions. Zbl 0874.49016
Penot, Jean-Paul
1996
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
Variational sum of monotone operators. Zbl 0824.47044
Attouch, H.; Baillon, J.-B.; Théra, M.
1994
Calderón-Zygmund estimates for systems of $$\varphi$$-growth. Zbl 1207.49047
Verde, Anna
2011
Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. Zbl 0911.49014
Jeyakumar, V.; Luc, D. T.; Schaible, S.
1998
Unbounded linear monotone operators on nonreflexive Banach spaces. Zbl 1128.47301
Phelps, R. R.; Simons, S.
1998
Regularity of collections of sets and convergence of inexact alternating projections. Zbl 1347.49028
Kruger, Alexander Y.; Thao, Nguyen H.
2016
A regularity result for asymptotically convex problems with lower order terms. Zbl 1245.35009
Passarelli di Napoli, A.; Verde, A.
2008
Pseudometrizable bornological convergence is Attouch-Wets convergence. Zbl 1173.54002
Beer, Gerald; Levi, Sandro
2008
Alternative theorems and necessary optimality conditions for directionally differentiable multiobjective programs. Zbl 1010.90073
Jiménez, B.; Novo, V.
2002
Necessary and sufficient conditions for polyconvexity of isotropic functions. Zbl 1098.49013
Mielke, Alexander
2005
Existence and relaxation theorems for unbounded differential inclusions. Zbl 1104.34006
Ioffe, A.
2006
Minimization of nonsmooth convex functionals in Banach spaces. Zbl 0895.90150
Alber, Ya. I.; Iusem, A. N.; Solodov, M. V.
1997
Shape optimization problems over classes of convex domains. Zbl 0921.49030
Buttazzo, Giuseppe; Guasoni, Paolo
1997
$$\Gamma$$-convergence for the irrigation problem. Zbl 1076.49024
Mosconi, Sunra J. N.; Tilli, Paolo
2005
Bauschke, H. H.; Combettes, P. L.
2010
Control sweeping processes. Zbl 1387.49017
Tolstonogov, Alexander A.
2016
Differential inclusions with proximal normal cones in Banach spaces. Zbl 1204.34083
Bernicot, Frédéric; Venel, Juliette
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
Measure sweeping processes. Zbl 1344.34032
Di Marino, Simone; Maury, Bertrand; Santambrogio, Filippo
2016
Existence and construction of bipotentials for graphs of multivalued laws. Zbl 1133.49018
Buliga, M.; de Saxcé, G.; Vallée, C.
2008
Well-posedness of inverse variational inequalities. Zbl 1146.49023
Hu, Rong; Fang, Ya-Ping
2008
History-dependent sweeping processes in contact mechanics. Zbl 1485.74072
Nacry, Florent; Sofonea, Mircea
2022
A hybrid semismooth quasi-Newton method for structured nonsmooth operator equations in Banach spaces. Zbl 07499215
Mannel, Florian; Rund, Armin
2022
Optimal control of second order sweeping processes with discrete and differential inclusions. Zbl 1485.49007
Mahmudov, Elimhan N.
2022
Existence of solutions for a class of nonlocal problems driven by an anisotropic operator via sub-supersolutions. Zbl 1486.35204
Figueiredo, Giovany M.; Dos Santos, Gelson C. G.; Tavares, Leandro S.
2022
On the numerical range of operators on some special Banach spaces. Zbl 07523727
Mandal, Kalidas; Bhanja, Aniket; Bag, Santanu; Paul, Kallol
2022
Analysis of the implicit Euler time-discretization of a class of descriptor-variable linear cone complementarity systems. Zbl 07523733
Brogliato, Bernard
2022
Boundedly polyhedral sets and $$F$$-simplices. Zbl 07564729
Soltan, Valeriu
2022
A family of Volterra cubic stochastic operators. Zbl 1457.37107
Jamilov, Uygun; Reinfelds, Andrejs
2021
Daugavet- and Delta-points in absolute sums of Banach spaces. Zbl 1459.46012
Haller, Rainis; Pirk, Katriin; Veeorg, Triinu
2021
Quantitative results on the proximal point algorithm in uniformly convex Banach spaces. Zbl 1461.47024
Kohlenbach, Ulrich
2021
A nonlinear mean value property for the Monge-Ampère operator. Zbl 1466.35235
Blanc, Pablo; Charro, Fernando; Manfredi, Juan J.; Rossi, Julio D.
2021
Hidden convexity in the $$\ell_0$$ pseudonorm. Zbl 1458.46064
Chancelier, Jean-Philippe; De Lara, Michel
2021
Preconditioned proximal point methods and notions of partial subregularity. Zbl 1455.49012
Valkonen, Tuomo
2021
Multimeasures with values in conjugate Banach spaces and the weak Radon-Nikodým property. Zbl 07470555
Musial, Kazimierz
2021
A sufficient criterion to determine planar self-Cheeger sets. Zbl 1483.49054
Saracco, Giorgio
2021
Projecting onto intersections of halfspaces and hyperplanes. Zbl 07470562
Ouyang, Hui
2021
Separating hyperplanes of convex sets. Zbl 1490.52003
Soltan, Valeriu
2021
Stability of closedness of closed convex sets under linear mappings. Zbl 07470579
Dinh, Si Tiep; Pham, Tien-Son
2021
Finite-time stabilization of continuous inertial dynamics combining dry friction with Hessian-driven damping. Zbl 1470.37118
2021
An extension result for generalised special functions of bounded deformation. Zbl 1486.49061
Cagnetti, Filippo; Chambolle, Antonin; Perugini, Matteo; Scardia, Lucia
2021
A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity. Zbl 1471.65183
Dal Maso, Gianni; Heltai, Luca
2021
On $$BV$$ homeomorphisms. Zbl 1469.26015
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
Discrete approximations and optimal control of nonsmooth perturbed sweeping processes. Zbl 1465.49023
Mordukhovich, Boris S.; Nguyen, Dao
2021
Uniqueness and estimates for a parabolic equation with $$L^1$$ data. Zbl 1465.35007
Porzio, Maria Michaela
2021
Homogenization of the elasticity problem for a material with fractures. Zbl 1465.35040
Sato, Riuji; Vernescu, Bogdan
2021
Nonlinear transversality of collections of sets: dual space necessary characterizations. Zbl 1440.49018
Cuong, Nguyen Duy; Kruger, Alexander Y.
2020
Compactness of BV solutions of a convex sweeping process of measurable differential inclusion. Zbl 1442.28012
Tolstonogov, Alexander A.
2020
A varifold perspective on the $$p$$-elastic energy of planar sets. Zbl 1446.49032
Pozzetta, Marco
2020
Multiplicity of positive solutions for an anisotropic problem via sub-supersolution method and mountain pass theorem. Zbl 1460.35135
dos Santos, Gelson C. G.; Figueiredo, Giovany; Silva, Julio R. S.
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
Existence of solutions for sweeping processes with local conditions. Zbl 07232721
Le, Ba Khiet
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
A uniform approach to Hölder calmness of subdifferentials. Zbl 1439.49030
Beer, Gerald; Cánovas, María Josefa; López, Marco Antonio; Parra, Juan
2020
Higher order problems in the calculus of variations: Du Bois-Reymond condition and regularity of minimizers. Zbl 1439.49068
Bernis, Julien; Bettiol, Piernicola; Mariconda, Carlo
2020
Existence and uniqueness of solutions for an integral perturbation of Moreau’s sweeping process. Zbl 1445.34092
Colombo, Giovanni; Kozaily, Christelle
2020
On formulae for the Ioffe geometric subdifferential of a supremum function. Zbl 1440.49017
Pérez-Aros, Pedro; Salas, David; Vilches, Emilio
2020
Characterization of approximate Birkhoff-James orthogonality sets in a Banach space. Zbl 1457.46019
Sen, Jeet; Mal, Arpita; Paul, Kallol
2020
On densely complete metric spaces and extensions of uniformly continuous functions in ZF. Zbl 1483.03030
Keremedis, Kyriakos; Wajch, Eliza
2020
Nonlinear images of sets. II: Applications to differential games. Zbl 1461.52002
Ivanov, Grigorii E.
2020
MVT, integration, and monotonicity of a generalized subdifferential in locally convex spaces. Zbl 1473.49020
Correa, Rafael; Hantoute, Abderrahim; Pérez-Aros, Pedro
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
Second-order analysis for the time crisis problem. Zbl 1439.49004
Bayen, Térence; Pfeiffer, Laurent
2020
Ioffe-type criteria in extended quasi-metric spaces. Zbl 1448.58015
2020
Non approximate derivabilityof the Takagi function. Zbl 1439.26026
Ferrera, Juan; Gómez-Gil, Javier
2020
Nonlinear images of sets. I: Strong and weak convexity. Zbl 1446.52002
Ivanov, Grigorii E.
2020
Jordán, Abelardo; Martínez-Legaz, Juan Enrique
2020
Regularization for optimal control problems associated to nonlinear evolution equations. Zbl 1439.49039
Meinlschmidt, Hannes; Meyer, Christian; Rehberg, Joachim
2020
Convex valued geodesics and applications to sweeping processes with bounded retraction. Zbl 1444.34075
Recupero, Vincenzo
2020
Optimality conditions for nonconvex variational problems with integral constraints in Banach spaces. Zbl 1439.49011
Sagara, Nobusumi
2020
No-gap second-order conditions under $$n$$-polyhedric constraints and finitely many nonlinear constraints. Zbl 1445.49015
Wachsmuth, Gerd
2020
Sets in the complex plane mapped into convex ones by Möbius transformations. Zbl 1446.30003
Sendov, Blagovest; Sendov, Hristo
2020
Differentiability of the argmin function and a minimum principle for semiconcave subsolutions. Zbl 1453.90122
Ross, Julius; Nyström, David Witt
2020
Describing multiplicative convex functions. Zbl 1445.26010
Jiménez-Rodríguez, Pablo; Martínez-Gómez, Maria E.; Munoz-Fernández, Gustavo A.; Seoane-Sepúlveda, Juan B.
2020
Yosida approximation methods for generalized equilibrium problems. Zbl 1466.49027
Anh, Pham Ngoc; Le Thi, Hoai An; Tao, Pham Dinh
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
On moving chords in constant curvature 2-manifolds. Zbl 1452.53009
Monterde, Juan; Rochera, David
2020
Convex envelopes on trees. Zbl 1452.35230
Del Pezzo, Leandro M.; Frevenza, Nicolas; Rossi, Julio D.
2020
Non-occurrence of a gap between bounded and Sobolev functions for a class of nonconvex Lagrangians. Zbl 1451.49010
Mariconda, Carlo; Treu, Giulia
2020
A guided tour of polyhedric sets: basic properties, new results on intersections and applications. Zbl 1412.52006
Wachsmuth, Gerd
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
On approximate Birkhoff-James orthogonality and normal cones in a normed space. Zbl 1420.46019
Sain, Debmalya; Paul, Kallol; Mal, Arpita
2019
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
Orthogonality in generalized Minkowski spaces. Zbl 1421.46016
Jahn, Thomas
2019
A framework for Wasserstein-1-type metrics. Zbl 1426.49032
Schmitzer, Bernhard; Wirth, Benedikt
2019
Examples of nondistinguished function spaces $$C_p(X)$$. Zbl 1446.46001
Ferrando, Juan Carlos; Kąkol, Jerzy; Saxon, Stephen A.
2019
Inequalities for Orlicz mixed quermassintegrals. Zbl 1411.52003
Zhao, Chang-Jian
2019
Convexity of suns in tangent directions. Zbl 1441.46012
Alimov, Alexey R.; Shchepin, Evgeny V.
2019
Sets with the unique footpoint property and $$\varphi$$-convex subsets of Riemannian manifolds. Zbl 1420.58004
2019
The minimizing vector theorem in symmetrized max-plus algebra. Zbl 1429.15024
Özel, Cenap; Piękosz, Artur; Wajch, Eliza; Zekraoui, Hanifa
2019
Convex bodies associated to tensor norms. Zbl 1442.46056
Fernández-Unzueta, Maite; Higueras-Montaño, Luisa F.
2019
Quadratic fractional programming under asymptotic analysis. Zbl 1409.90128
Lara, Felipe
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
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
Extreme contractions on finite-dimensional polygonal Banach spaces. Zbl 1428.46011
Sain, Debmalya; Ray, Anubhab; Paul, Kallol
2019
Evolution inclusion on a real Hilbert space with quasi-variational structure for inner products. Zbl 1455.34064
Ito, Akio
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
Subgradients of minimal time functions without calmness. Zbl 1412.49035
Nam, Nguyen Mau; Cuong, Dang Van
2019
Fixed points of Legendre-Fenchel type transforms. Zbl 07036242
Iusem, Alfredo N.; Reem, Daniel; Reich, Simeon
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
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
Multicones, duality and matrix invariance. Zbl 1425.15036
Brundu, Michela; Zennaro, Marino
2019
An abstract variational theorem. Zbl 1437.46066
Moors, Warren B.; Tan, Neşet Özkan
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
Zero-scale asymptotic functions and quasiconvex optimization. Zbl 1436.90137
2019
Local properties of the surface measure of convex bodies. Zbl 1436.52002
Plakhov, Alexander
2019
The Cheeger-N-problem in terms of BV-functions. Zbl 1417.49060
Caroccia, Marco; Littig, Samuel
2019
Vertices, edges and facets of the unit ball. Zbl 1433.46008
Garcia-Pacheco, Francisco J.
2019
Strong convergence theorems by hybrid methods for new demimetric mappings in Banach spaces. Zbl 07036238
Takahashi, Wataru
2019
On representing and hedging claims for coherent risk measures. Zbl 1419.91371
Jacka, Saul; Armstrong, Seb; Berkaoui, Abdelkarem
2019
Asymptotic Hyers-Ulam stability or superstability for generalized linear equations by unilateral perturbations. Zbl 1416.39017
Peppo, Cathérine
2019
$$K$$-midconvex and $$K$$-midconcave set-valued maps bounded on “large” sets. Zbl 1416.26026
Jabłonska, Eliza; Nikodem, Kazimierz
2019
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### Cited by 4,841 Authors

 60 Yao, Jen-Chih 55 Mordukhovich, Boris S. 47 Bauschke, Heinz H. 42 Boţ, Radu Ioan 42 Thibault, Lionel 38 Wang, Shawn Xianfu 36 López-Cerdá, Marco Antonio 32 Hantoute, Abderrahim 32 Reich, Simeon 31 Kruger, Alexander Y. 30 Pečarić, Josip 29 Jeyakumar, Vaithilingam 28 Csetnek, Ernö Robert 27 Adly, Samir 27 Cho, Yeol Je 27 Penot, Jean-Paul 26 Attouch, Hedy 26 Théra, Michel A. 25 Volle, Michel 24 Yao, Yonghong 23 Borwein, Jonathan Michael 23 Novo-Sanjurjo, Vicente 22 Iusem, Alfredo Noel 22 Liou, Yeongcheng 22 Suantai, Suthep 22 Takahashi, Wataru 21 Correa, Rafael 21 Goberna, Miguel Angel 21 Huang, Nan-Jing 21 Mewomo, Oluwatosin Temitope 21 Seeger, Alberto 21 Shehu, Yekini 21 Svaiter, Benar Fux 21 Trương Minh Tuyên 20 Chang, Shih-Sen 20 Chu, Yuming 20 Combettes, Patrick L. 20 Li, Guoyin 19 Balashov, Maxim Viktorovich 19 Dinh The Luc 19 Martínez-Legaz, Juan-Enrique 18 Ceng, Lu-Chuan 18 Hadjisavvas, Nicolas 18 Martini, Horst 18 Nam, Nguyen Mau 18 Rueda Zoca, Abraham 17 Cheng, Lixin 17 Li, Chong 17 Oliveira, Paulo Roberto 16 Kumam, Poom 16 Lewis, Adrian S. 16 Peng, Jianwen 16 Pérez-Aros, Pedro 16 Peypouquet, Juan 15 Aussel, Didier 15 Cui, Yunan 15 Gutiérrez, César 15 Huynh Van Ngai 15 Pini, Rita 15 Wanka, Gert 14 Ansari, Qamrul Hasan 14 Azzam-Laouir, Dalila 14 Cholamjiak, Prasit 14 Durea, Marius 14 Ioffe, Alexander Davidovich 14 Jolaoso, Lateef Olakunle 14 Nour, Chadi 14 Peyré, Gabriel 14 Tolstonogov, Aleksandr Aleksandrovich 14 Wen, Chingfeng 14 Yang, Xinmin 14 Yao, Liangjin 14 Zegeye, Habtu 13 Cibulka, Radek 13 Crasta, Graziano 13 Fadili, Jalal M. 13 Fragalà, Ilaria 13 Hintermüller, Michael 13 Hudzik, Henryk 13 Jiménez, Bienvenido 13 Kassay, Gábor 13 Leonetti, Francesco 13 Mingione, Giuseppe 13 Niezgoda, Marek 13 Pang, Liping 13 Ruiz Galán, Manuel 13 Sánchez-Pérez, Enrique Alfonso 13 Zaslavski, Alexander Yakovlevich 12 Bianchi, Monica 12 Castaing, Charles 12 Cotrina, John 12 Daniilidis, Aris 12 Dao, Minh Ngoc 12 Dontchev, Asen L. 12 Fang, Donghui 12 Flores-Bazán, Fabián 12 Frankowska, Hélène 12 Grad, Sorin-Mihai 12 Ivanov, Grigorii E. 12 Kim, Do Sang ...and 4,741 more Authors
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### Cited in 528 Journals

 345 Journal of Optimization Theory and Applications 306 Journal of Mathematical Analysis and Applications 222 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 180 Set-Valued and Variational Analysis 156 Journal of Convex Analysis 150 Mathematical Programming. Series A. Series B 147 Journal of Global Optimization 122 SIAM Journal on Optimization 121 Optimization 96 Journal of Inequalities and Applications 93 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 91 Optimization Letters 79 Calculus of Variations and Partial Differential Equations 78 Journal of Differential Equations 73 Fixed Point Theory and Applications 70 Computational Optimization and Applications 68 Archive for Rational Mechanics and Analysis 56 Journal of Functional Analysis 49 Abstract and Applied Analysis 47 Applied Mathematics and Optimization 47 Transactions of the American Mathematical Society 47 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 46 Positivity 45 Journal of Fixed Point Theory and Applications 41 Proceedings of the American Mathematical Society 41 Vietnam Journal of Mathematics 38 SIAM Journal on Control and Optimization 36 Numerical Algorithms 36 SIAM Journal on Mathematical Analysis 36 Set-Valued Analysis 35 Linear Algebra and its Applications 31 Mathematics of Operations Research 29 Journal of Nonlinear Science and Applications 28 Numerical Functional Analysis and Optimization 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Results in Mathematics 27 Mediterranean Journal of Mathematics 26 European Journal of Operational Research 25 Annali di Matematica Pura ed Applicata. Serie Quarta 24 Aequationes Mathematicae 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Journal of Function Spaces 22 Rendiconti del Circolo Matemàtico di Palermo. Serie II 22 Filomat 21 Computers & Mathematics with Applications 21 Journal of Approximation Theory 21 Operations Research Letters 21 The Journal of Geometric Analysis 21 Discrete and Continuous Dynamical Systems 20 Applicable Analysis 20 Applied Mathematics and Computation 20 Top 20 Acta Mathematica Sinica. English Series 19 Nonlinear Analysis. Real World Applications 19 Journal of Applied Mathematics 18 Journal of Computational and Applied Mathematics 18 Topology and its Applications 18 Acta Applicandae Mathematicae 18 Applied Mathematics Letters 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 NoDEA. Nonlinear Differential Equations and Applications 17 Journal of Nonlinear and Variational Analysis 15 Systems & Control Letters 15 Journal of Mathematical Sciences (New York) 15 Computational and Applied Mathematics 15 Discrete and Continuous Dynamical Systems. Series S 14 Communications on Pure and Applied Analysis 14 Thai Journal of Mathematics 13 Manuscripta Mathematica 13 Ricerche di Matematica 13 Journal of Elasticity 13 Journal of Mathematical Imaging and Vision 13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Inverse Problems 12 Mathematical Notes 12 Studia Mathematica 12 Fuzzy Sets and Systems 12 Mathematical and Computer Modelling 12 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 12 Journal of Industrial and Management Optimization 12 SIAM Journal on Imaging Sciences 11 Israel Journal of Mathematics 11 Advances in Mathematics 11 Annals of Operations Research 11 Mathematical Methods of Operations Research 11 Journal of the Operations Research Society of China 11 Evolution Equations and Control Theory 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Mathematische Nachrichten 10 Zeitschrift für Analysis und ihre Anwendungen 10 Communications in Contemporary Mathematics 10 Foundations of Computational Mathematics 10 Acta Mathematica Scientia. Series B. (English Edition) 10 Nonlinear Analysis. Hybrid Systems 10 Advances in Nonlinear Analysis 10 Minimax Theory and its Applications 9 Indian Journal of Pure & Applied Mathematics 9 Acta Mathematica Vietnamica 9 Automatica 9 Demonstratio Mathematica ...and 428 more Journals
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### Cited in 60 Fields

 2,029 Calculus of variations and optimal control; optimization (49-XX) 1,725 Operations research, mathematical programming (90-XX) 1,207 Operator theory (47-XX) 822 Partial differential equations (35-XX) 762 Functional analysis (46-XX) 639 Numerical analysis (65-XX) 415 Real functions (26-XX) 372 Convex and discrete geometry (52-XX) 256 Ordinary differential equations (34-XX) 255 Mechanics of deformable solids (74-XX) 212 General topology (54-XX) 198 Global analysis, analysis on manifolds (58-XX) 176 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 161 Measure and integration (28-XX) 139 Systems theory; control (93-XX) 122 Probability theory and stochastic processes (60-XX) 100 Differential geometry (53-XX) 94 Approximations and expansions (41-XX) 83 Linear and multilinear algebra; matrix theory (15-XX) 79 Computer science (68-XX) 62 Information and communication theory, circuits (94-XX) 60 Dynamical systems and ergodic theory (37-XX) 57 Fluid mechanics (76-XX) 55 Statistics (62-XX) 53 Difference and functional equations (39-XX) 43 Geometry (51-XX) 40 Statistical mechanics, structure of matter (82-XX) 35 Functions of a complex variable (30-XX) 31 Biology and other natural sciences (92-XX) 30 Quantum theory (81-XX) 25 Mathematical logic and foundations (03-XX) 25 Integral equations (45-XX) 22 Combinatorics (05-XX) 21 Several complex variables and analytic spaces (32-XX) 20 Potential theory (31-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 18 Topological groups, Lie groups (22-XX) 18 Mechanics of particles and systems (70-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Algebraic geometry (14-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 History and biography (01-XX) 12 General and overarching topics; collections (00-XX) 11 Abstract harmonic analysis (43-XX) 10 Special functions (33-XX) 9 Sequences, series, summability (40-XX) 8 Category theory; homological algebra (18-XX) 8 Manifolds and cell complexes (57-XX) 8 Optics, electromagnetic theory (78-XX) 7 Group theory and generalizations (20-XX) 7 Integral transforms, operational calculus (44-XX) 6 Associative rings and algebras (16-XX) 6 Geophysics (86-XX) 5 Number theory (11-XX) 5 Algebraic topology (55-XX) 4 Nonassociative rings and algebras (17-XX) 4 Relativity and gravitational theory (83-XX) 2 General algebraic systems (08-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX)