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Martínez-Legaz, Juan-Enrique

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Author ID: martinez-legaz.juan-enrique Recent zbMATH articles by "Martínez-Legaz, Juan-Enrique"
Published as: Martínez-Legaz, Juan Enrique; Martínez-Legaz, J. E.; Martínez-Legaz, Juan-Enrique; Martínez-Legaz, J.-E.; Martinez-Legaz, Juan-Enrique; Martinez-Legaz, J. E.; Martinez-Legaz, Juan Enrique; Martínez-Legaz, Juan E.; Martinez-Legaz, J.-E.; Martínez Legaz, Juan Enrique; Legaz, Juan Enrique Martinez; Martìnez-Legaz, Juan Enrique
External Links: MGP
Documents Indexed: 156 Publications since 1983, including 2 Books
18 Contributions as Editor
Reviewing Activity: 266 Reviews
Biographic References: 1 Publication
Co-Authors: 92 Co-Authors with 137 Joint Publications
2,189 Co-Co-Authors
all top 5

Co-Authors

37 single-authored
25 Singer, Ivan
8 Ivanov Todorov, Maxim
6 Burachik, Regina Sandra
6 Goberna, Miguel Angel
6 Rubinov, Aleksandr Moiseevich
6 Seeger, Alberto
6 Tammer, Christiane
6 Volle, Michel
5 Sosa, Wilfredo
4 Dutta, Joydeep
4 Hadjisavvas, Nicolas
4 Rocco, Marco
4 Théra, Michel A.
3 Bilbao, Jesús Mario
3 Crouzeix, Jean-Pierre
3 Daniilidis, Aris
3 Martinón, Antonio
3 Mordukhovich, Boris S.
3 Svaiter, Benar Fux
3 Vicente-Pérez, José
2 Boncompte, M.
2 Bonenti, Francesca
2 Dinh The Luc
2 Elias, Leonardo M.
2 Elster, Rosalind
2 Giannessi, Franco
2 Hiriart-Urruty, Jean-Baptiste
2 Iusem, Alfredo Noel
2 Jordán, Abelardo
2 Kruger, Alexander Y.
2 López-Cerdá, Marco Antonio
2 Marchi, Ezio
2 Naraghirad, Eskandar
2 Ocaña Anaya, Eladio
2 Pallaschke, Diethard
2 Penot, Jean-Paul
2 Pintea, Cornel
2 Rezaie, Mahboubeh
2 Riccardi, Rossana
2 Romano-Rodríguez, S.
2 Santos, Manuel S.
2 Soubeyran, Antoine
2 Tamadoni Jahromi, Maryam
1 Ait Mansour, Mohamed
1 Allevi, Elisabetta
1 Ansari, Qamrul Hasan
1 Bagirov, Adil M.
1 Bajona-Xandri, C.
1 Bigi, Giancarlo
1 Bueno, Orestes
1 Chen, Jein-Shan
1 Cominetti, Roberto
1 Coutat, P.
1 de Melo, Jefferson Divino Gonçalves
1 Dragan, Irinel C.
1 Facchinei, Francisco
1 Ferrer, Albert
1 Flores-Bazán, Fabián
1 Fradera, Isabel
1 Frankowska, Hélène
1 Ramos, Yboon García
1 Getán, Jesús
1 Ginchev, Ivan G.
1 Gupta, Pankaj
1 Hantoute, Abderrahim
1 Henrion, René
1 Huang, Chien-Hao
1 Jacinto, Flávia Morgana O.
1 Köbis, Elisabeth
1 Lahrache, Jaafar
1 Lara, Felipe
1 Lasserre, Jean-Bernard
1 Mahdavi-Amiri, Nezam
1 Meseguer, Antoni
1 Minisci, Edmondo
1 Mohebi, Hossein
1 Noll, Dominikus
1 Pereira Raupp, Fernanda Maria
1 Pham Huu Sach
1 Phan Quôc Khánh
1 Quah, John K.-H.
1 Roshchina, Vera
1 Rückmann, Jan-Joachim
1 Sakalauskas, Leonidas L.
1 Schaible, Siegfried
1 Shapiro, Alex
1 Simons, Stephen
1 Soleimani-damaneh, Majid
1 Thibault, Lionel
1 Vera de Serio, Virginia N.
1 Wagner, Andrea
1 Weber, Gerhard-Wilhelm
1 Yang, Xiaoqi
1 Yao, Jen-Chih
1 Zetina, Carlos Armando
all top 5

Serials

34 Optimization
14 Journal of Convex Analysis
13 Journal of Mathematical Analysis and Applications
10 Journal of Optimization Theory and Applications
8 Journal of Global Optimization
8 Linear Algebra and its Applications
7 Set-Valued and Variational Analysis
5 Numerical Functional Analysis and Optimization
5 Mathematical Programming. Series A. Series B
5 Optimization Letters
3 Journal of Mathematical Economics
3 Vietnam Journal of Mathematics
2 Acta Mathematica Vietnamica
2 Bulletin of the Iranian Mathematical Society
2 SIAM Journal on Optimization
2 Set-Valued Analysis
2 Journal of Mathematical Sciences (New York)
2 Economic Theory
2 Positivity
2 Mathematical Methods of Operations Research
2 Pacific Journal of Optimization
2 Monografías del Instituto de Matemática y Ciencias Afines
1 Bulletin of the Australian Mathematical Society
1 Mathematica Scandinavica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Southeast Asian Bulletin of Mathematics
1 European Journal of Operational Research
1 Zeitschrift für Operations Research. Serie A: Theorie
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Expositiones Mathematicae
1 ZOR. Zeitschrift für Operations Research
1 Topological Methods in Nonlinear Analysis
1 Top
1 ZOR. Mathematical Methods of Operations Research
1 International Transactions in Operational Research
1 Taiwanese Journal of Mathematics
1 Journal of Statistics & Management Systems
1 International Game Theory Review
1 Journal of Nonlinear and Convex Analysis
1 Lecture Notes in Economics and Mathematical Systems
1 Methods of Operations Research
1 Nonconvex Optimization and Its Applications
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 925 times in 582 Documents Cited by Year
Quasiconvex duality theory by generalized conjugation methods. Zbl 0671.49015
Martínez-Legaz, J. E.
61
1988
Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036
Martínez-Legaz, J.-E.; Svaiter, B. F.
49
2005
Duality in D. C. programming: The case of several D. C. constraints. Zbl 0946.90064
Martínez-Legaz, Juan-Enrique; Volle, Michel
38
1999
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
34
2002
A convex representation of maximal monotone operators. Zbl 0999.47037
Martinez-Legaz, Juan-Enrique; Théra, Michel
33
2001
Generalized convex duality and its economic applications. Zbl 1105.90105
Martínez-Legaz, Juan Enrique
28
2005
Motzkin decomposition of closed convex sets. Zbl 1188.90195
Goberna, M. A.; González, E.; Martínez-Legaz, J. E.; Todorov, M. I.
22
2010
Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints. Zbl 1356.90108
Martínez-Legaz, Juan Enrique
21
2015
A formula on the approximate subdifferential of the difference of convex functions. Zbl 0742.90071
Martínez-Legaz, J. E.; Seeger, A.
20
1992
Duality for equilibrium problems. Zbl 1106.90074
Martínez-Legaz, Juan Enrique; Sosa, Wilfredo
20
2006
An appropriate subdifferential for quasiconvex functions. Zbl 1031.49025
Daniilidis, Aris; Hadjisavvas, Nicolas; Martinez-Legaz, Juan-Enrique
19
2001
Characterizations of evenly convex sets and evenly quasiconvex functions. Zbl 1019.52001
Daniilidis, A.; Martinez-Legaz, J.-E.
19
2002
Duality between direct and indirect utility functions under minimal hypotheses. Zbl 0717.90008
Martínez-Legaz, J.-E.
18
1991
Monotonic analysis over cones. II. Zbl 1153.49308
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
16
2004
Exact quasiconvex conjugation. Zbl 0522.90069
Martinez-Legaz, J. E.
16
1983
Monotonic analysis over cones. I. Zbl 1085.49021
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
14
2004
New formulas for the Legendre-Fenchel transform. Zbl 1052.49020
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
14
2003
Lower subdifferentiability in minimax fractional programming. Zbl 0955.90131
Bajona-Xandri, C.; Martínez-Legaz, J. E.
13
1999
\(\varepsilon\)-subdifferentials in terms of subdifferentials. Zbl 0870.47032
Martinez-Legaz, Juan-Enrique; Théra, Michel
13
1996
Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142
Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried
13
2005
Motzkin decomposition of closed convex sets via truncation. Zbl 1262.52002
Goberna, M. A.; Iusem, A.; Martínez-Legaz, J. E.; Todorov, M. I.
12
2013
The e-support function of an e-convex set and conjugacy for e-convex functions. Zbl 1213.26017
Martínez-Legaz, Juan Enrique; Vicente-Pérez, José
12
2011
Fractional programming by lower subdifferentiability techniques. Zbl 0696.90068
Boncompte, M.; Martinez-Legaz, J. E.
11
1991
Weak lower subdifferentials and applications. Zbl 0714.49018
Martinez-Legaz, J.-E.
11
1990
An alternative theorem for quadratic forms and extensions. Zbl 0837.15022
Crouzeix, J. P.; Martínez-Legaz, J. E.; Seeger, A.
11
1995
A generalized concept of conjugation. Zbl 0521.49014
Martinez-Legaz, J.-E.
11
1983
Minimal convex functions bounded below by the duality product. Zbl 1133.47040
Martínez-Legaz, J.-E.; Svaiter, B. F.
11
2008
A new subdifferential in quasiconvex analysis. Zbl 0942.49020
Martínez-Legaz, J. E.; Sach, P. H.
10
1999
\(\bigvee\)-dualities and \(\perp\)-dualities. Zbl 0728.06007
Martínez-Legaz, J.-E.; Singer, Ivan
10
1991
Dualities between complete lattices. Zbl 0728.90071
Martinez-Legaz, J.-E.; Singer, Ivan
10
1990
A quasiconvex asymptotic function with applications in optimization. Zbl 1409.90141
Hadjisavvas, Nicolas; Lara, Felipe; Martínez-Legaz, Juan Enrique
10
2019
On lower subdifferentiable functions. Zbl 0643.49015
Martínez-Legaz, J. E.
10
1988
The structure of hemispaces in \({\mathbb{R}}^ n\). Zbl 0656.52004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
10
1988
On Motzkin decomposable sets and functions. Zbl 1203.52004
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I.
10
2010
Regularization by erasement. Zbl 1148.46044
Martínez-Legaz, Juan-Enrique; Penot, Jean-Paul
10
2006
Motzkin predecomposable sets. Zbl 1305.52004
Iusem, A. N.; Martínez-Legaz, J. E.; Todorov, M. I.
9
2014
Lexicographical separation in \({\mathbb{R}}^ n\). Zbl 0614.52003
Martínez-Legaz, Juan-Enrique; Singer, Ivan
9
1987
Lexicographical order and duality in multiobjective programming. Zbl 0646.90076
Martinez-Legaz, Juan Enrique
8
1988
\(({\ast},s)\)-dualities. Zbl 1136.49315
Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan
8
2003
Yuan’s alternative theorem and the maximization of the minimum eigenvalue function. Zbl 0808.90122
Martinez-Legaz, J. E.; Seeger, A.
7
1994
Farkas-type theorems for positively homogeneous semi-infinite systems. Zbl 1077.90072
López, Marco A.; Martínez-Legaz, Juan E.
7
2005
Lexicographical order, inequality systems and optimization. Zbl 0563.90084
Martínez-Legaz, J. E.
7
1984
Monotonic analysis over cones. III. Zbl 1145.49010
Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M.
7
2008
Subdifferentials with respect to dualities. Zbl 0838.90111
Martinez-Legaz, Juan-Enrique; Singer, Ivan
7
1995
Some generalizations of Rockafellar’s surjectivity theorem. Zbl 1198.47071
Martínez-Legaz, J.-E.
6
2008
Lexicographical order, lexicographical index, and linear operators. Zbl 0711.52002
Martínez-Legaz, Juan-Enrique; Singer, Ivan
6
1990
Minimization of quadratic functions on convex sets without asymptotes. Zbl 1397.90293
Martínez-Legaz, Juan-Enrique; Noll, Dominikus; Sosa, Wilfredo
6
2018
\(*\)-dualities. Zbl 0815.49026
Martinez-Legaz, Juan-Enrique; Singer, Ivan
6
1994
Fenchel duality and related properties in generalized conjugation theory. Zbl 0861.49029
Martinez-Legaz, Juan Enrique
6
1995
Improving the efficiency of DC global optimization methods by improving the DC representation of the objective function. Zbl 1172.90463
Ferrer, Albert; Martínez-Legaz, Juan Enrique
5
2009
Preface. Zbl 1187.90019
López, Marco A.; Martínez-Legaz, Juan Enrique; Shapiro, Alex
5
2010
Least deviation decomposition with respect to a pair of convex sets. Zbl 0940.41019
Luc, D. T.; Martínez-Legaz, J. E.; Seeger, A.
5
1999
Duality for d.c. optimization over compact sets. Zbl 1041.90067
Martinez-Legaz, Juan-Enrique; Volle, Michel
5
2001
On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016
Martínez-Legaz, Juan-Enrique; Singer, Ivan
5
1997
Dual representation of cooperative games based on Fenchel-Moreau conjugation. Zbl 0854.90148
Martínez-Legaz, J.-E.
5
1996
\(\alpha\)-lower subdifferentiable functions. Zbl 0798.49016
Martínez-Legaz, J. E.; Romano-Rodríguez, S.
5
1993
Duality between direct and indirect preferences. Zbl 0808.90005
Martínez-Legaz, Juan-Enrique; Santos, Manuel S.
5
1993
Surrogate duality for vector optimization. Zbl 0609.49012
Martinez-Legaz, Juan-Enrique; Singer, Ivan
5
1987
Some characterizations of \(\varphi\)-Lagrangian dual problems. Zbl 0753.49017
Martínez-Legaz, J.-E.; Singer, Ivan
4
1991
The Voronoi inverse mapping. Zbl 1381.52028
Goberna, M. A.; Martínez-Legaz, J. E.; Vera de Serio, V. N.
4
2016
Some conditions for maximal monotonicity of bifunctions. Zbl 1362.47032
Hadjisavvas, Nicolas; Jacinto, Flávia M. O.; Martínez-Legaz, Juan E.
4
2016
On maximally \(q\)-positive sets. Zbl 1185.47052
Martínez-Legaz, Juan Enrique
4
2009
Some characterizations of surrogate dual problems. Zbl 0817.90112
Martínez-Legaz, J.-E.; Singer, Ivan
4
1992
On Brickman’s theorem. Zbl 1077.15024
Martínez-Legaz, Juan Enrique
4
2005
{\(\Gamma\)}-active constraints in convex semi-infinite programming. Zbl 1295.90096
Martínez-Legaz, Juan Enrique; Todorov, Maxim Ivanov; Zetina, Carlos Armando
4
2014
On Bregman-type distances for convex functions and maximally monotone operators. Zbl 06913664
Burachik, Regina S.; Martínez-Legaz, Juan E.
4
2018
What is invexity with respect to the same \(\eta\)? Zbl 1179.26047
Martínez-Legaz, Juan Enrique
3
2009
On a sufficient condition for equality of two maximal monotone operators. Zbl 1258.47066
Burachik, Regina S.; Martínez-Legaz, Juan Enrique; Rocco, Marco
3
2010
Compatible preorders and linear operators on \({\mathbb{R}}^ n\). Zbl 0726.15014
Martínez-Legaz, Juan-Enrique; SInger, Ivan
3
1991
Lexicographical characterization of the faces of convex sets. Zbl 0901.52008
Martinez-Legaz, J. E.
3
1997
Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Zbl 0897.00032
3
1998
Lower subdifferentiability of quadratic functions. Zbl 0781.90072
Martínez-Legaz, J. E.; Romano-Rodríguez, S.
3
1993
A general cone decomposition theory based on efficiency. Zbl 0819.46002
Martínez-Legaz, J. E.; Seeger, A.
3
1994
A new approach to symmetric quasiconvex conjugacy. Zbl 0543.90085
Martinez-Legaz, J. E.
3
1984
Level sets and the minimal time function of linear control processes. Zbl 0586.49004
Martínez-Legaz, Juan-Enrique
3
1987
An additive subfamily of enlargements of a maximally monotone operator. Zbl 1335.49026
Burachik, Regina S.; Martínez-Legaz, Juan Enrique; Rezaie, Mahboubeh; Théra, Michel
3
2015
Convex solutions of a functional equation arising in information theory. Zbl 1154.39025
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
3
2007
Characterization of d.c. Functions in terms of quasidifferentials. Zbl 1229.90137
Ginchev, Ivan; Martínez-Legaz, Juan-Enrique
3
2011
Some characterizations of convex games. Zbl 1152.91335
Martínez-Legaz, Juan Enrique
3
2006
Dualities associated to binary operations on \(\overline {R}\). Zbl 0832.06004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
3
1995
Convex functions with continuous epigraph or continuous level sets. Zbl 0851.90089
Coutat, P.; Volle, M.; Martinez-Legaz, J. E.
3
1996
Multi-order convexity. Zbl 0741.52001
Martínez-Legaz, Juan-Enrique; Singer, Ivan
2
1991
Duality for closed convex functions and evenly convex functions. Zbl 1361.90066
Volle, M.; Martínez-Legaz, J. E.; Vicente-Pérez, J.
2
2015
A simplified conjugation scheme for lower semi-continuous functions. Zbl 1383.49026
Elias, Leonardo M.; Martínez-Legaz, Juan E.
2
2016
On surjectivity results for maximal monotone operators of type (D). Zbl 1217.47094
Rocco, M.; Martínez-Legaz, J. E.
2
2011
Simplified global optimality conditions in generalized conjugation theory. Zbl 0933.49008
Flores-Bazán, Fabián; Martínez-Legaz, Juan-Enrique
2
1998
On \(\Phi\)-convexity of convex functions. Zbl 0952.26009
Martínez-Legaz, Juan-Enrique; Singer, Ivan
2
1998
Generalized conjugation and related topics. Zbl 0707.49018
Martínez-Legaz, J. E.
2
1990
An extension of d. c. duality theory, with an appendix on \(*\)-subdifferentials. Zbl 0893.90143
Martínez-Legaz, J.-E.; Singer, Ivan
2
1997
On expenditure functions. Zbl 0859.90018
Martínez-Legaz, Juan-Enrique; Santos, Manuel S.
2
1996
A generalization of Fan-Browder’s fixed point theorem and its applications. Zbl 0801.54035
Marchi, Ezio; Martínez-Legaz, Juan-Enrique
2
1993
Lexicographical representation of convex sets. Zbl 1255.52007
Martínez-Legaz, Juan Enrique; Vicente-Pérez, José
2
2012
Some conjugation formulas and subdifferential formulas of convex analysis revisited. Zbl 1211.49018
Martínez-Legaz, J.-E.; Singer, Ivan
2
2006
Locating a semi-obnoxious facility – A Toland-Singer duality based approach. Zbl 1354.49077
Wagner, Andrea; Martínez-Legaz, Juan-Enrique; Tammer, Christiane
2
2016
A tabu search scheme for abstract problems, with applications to the computation of fixed points. Zbl 1141.54017
Martínez-Legaz, Juan Enrique; Soubeyran, Antoine
2
2008
On the infimum of a quasiconvex function over an intersection. Application to the distance function. Zbl 1245.54026
Martínez-Legaz, J.-E.; Martinón, Antonio
2
2011
A contribution to duality theory, applied to the measurement of risk aversion. Zbl 1117.91020
Martínez-Legaz, Juan E.; Quah, John K.-H.
2
2007
Boundedly connected sets and the distance to the intersection of two sets. Zbl 1121.46020
Martínez-Legaz, Juan-Enrique; Martinón, Antonio
2
2007
Characterization of Lipschitz continuous difference of convex functions. Zbl 1284.90054
Hantoute, A.; Martínez-Legaz, J. E.
2
2013
On farthest Voronoi cells. Zbl 1429.51008
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I.
2
2019
Error bounds for inequality systems defining convex sets. Zbl 1477.90061
Dutta, Joydeep; Martínez-Legaz, Juan Enrique
1
2021
Optimality conditions for convex problems on intersections of non necessarily convex sets. Zbl 1452.90242
Allevi, E.; Martínez-Legaz, J. E.; Riccardi, R.
1
2020
Co-radiant set-valued mappings. Zbl 1471.26016
Jordán, Abelardo; Martínez-Legaz, Juan Enrique
1
2020
Some remarks on Greenberg-Pierskalla subdifferentiability of quasiconvex functions. Zbl 1453.26009
Volle, M.; Martínez-Legaz, J. E.
1
2020
A quasiconvex asymptotic function with applications in optimization. Zbl 1409.90141
Hadjisavvas, Nicolas; Lara, Felipe; Martínez-Legaz, Juan Enrique
10
2019
On farthest Voronoi cells. Zbl 1429.51008
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I.
2
2019
On the structure of higher order Voronoi cells. Zbl 1434.52024
Martínez-Legaz, Juan Enrique; Roshchina, Vera; Todorov, Maxim
1
2019
Minimization of quadratic functions on convex sets without asymptotes. Zbl 1397.90293
Martínez-Legaz, Juan-Enrique; Noll, Dominikus; Sosa, Wilfredo
6
2018
On Bregman-type distances for convex functions and maximally monotone operators. Zbl 06913664
Burachik, Regina S.; Martínez-Legaz, Juan E.
4
2018
Weakly Motzkin predecomposable sets. Zbl 1381.52002
Martínez-Legaz, J. E.; Todorov, M. I.
1
2017
Differentiability v.s. convexity for complementarity functions. Zbl 1373.90163
Huang, Chien-Hao; Chen, Jein-Shan; Martinez-Legaz, Juan Enrique
1
2017
The Voronoi inverse mapping. Zbl 1381.52028
Goberna, M. A.; Martínez-Legaz, J. E.; Vera de Serio, V. N.
4
2016
Some conditions for maximal monotonicity of bifunctions. Zbl 1362.47032
Hadjisavvas, Nicolas; Jacinto, Flávia M. O.; Martínez-Legaz, Juan E.
4
2016
A simplified conjugation scheme for lower semi-continuous functions. Zbl 1383.49026
Elias, Leonardo M.; Martínez-Legaz, Juan E.
2
2016
Locating a semi-obnoxious facility – A Toland-Singer duality based approach. Zbl 1354.49077
Wagner, Andrea; Martínez-Legaz, Juan-Enrique; Tammer, Christiane
2
2016
Closed convex sets of Minkowski type. Zbl 1346.52002
Martínez-Legaz, J. E.; Pintea, Cornel
1
2016
Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints. Zbl 1356.90108
Martínez-Legaz, Juan Enrique
21
2015
An additive subfamily of enlargements of a maximally monotone operator. Zbl 1335.49026
Burachik, Regina S.; Martínez-Legaz, Juan Enrique; Rezaie, Mahboubeh; Théra, Michel
3
2015
Duality for closed convex functions and evenly convex functions. Zbl 1361.90066
Volle, M.; Martínez-Legaz, J. E.; Vicente-Pérez, J.
2
2015
On the existence of a saddle value. Zbl 1327.90194
Bonenti, F.; Martínez-Legaz, J. E.
1
2015
Motzkin predecomposable sets. Zbl 1305.52004
Iusem, A. N.; Martínez-Legaz, J. E.; Todorov, M. I.
9
2014
{\(\Gamma\)}-active constraints in convex semi-infinite programming. Zbl 1295.90096
Martínez-Legaz, Juan Enrique; Todorov, Maxim Ivanov; Zetina, Carlos Armando
4
2014
On the monotone polar and representable closures of monotone operators. Zbl 1305.47035
Bueno, Orestes; Martínez-Legaz, Juan Enrique; Svaiter, Benar F.
1
2014
On Weierstrass extreme value theorem. Zbl 1283.49010
Martínez-Legaz, Juan Enrique
1
2014
Motzkin decomposition of closed convex sets via truncation. Zbl 1262.52002
Goberna, M. A.; Iusem, A.; Martínez-Legaz, J. E.; Todorov, M. I.
12
2013
Characterization of Lipschitz continuous difference of convex functions. Zbl 1284.90054
Hantoute, A.; Martínez-Legaz, J. E.
2
2013
Lexicographical representation of convex sets. Zbl 1255.52007
Martínez-Legaz, Juan Enrique; Vicente-Pérez, José
2
2012
New results on \(q\)-positivity. Zbl 1334.47053
García Ramos, Y.; Martínez-Legaz, J. E.; Simons, S.
1
2012
Modern optimization modelling techniques. Papers based on the presentations at the advanced course “Optimization: Theory, methods and applications”, Barcelona, Spain, July 20–24, 2009. Edited by Aris Daniilidis and Juan Enrique Martínez-Legaz. Zbl 1252.91003
Cominetti, Roberto; Facchinei, Francisco; Lasserre, Jean B.
1
2012
A convex representation of totally balanced games. Zbl 1229.91039
Bilbao, J. M.; Martínez-Legaz, J. E.
1
2012
Some criteria for maximal abstract monotonicity. Zbl 1262.47076
Mohebi, H.; Martínez-Legaz, J.-E.; Rocco, M.
1
2012
The e-support function of an e-convex set and conjugacy for e-convex functions. Zbl 1213.26017
Martínez-Legaz, Juan Enrique; Vicente-Pérez, José
12
2011
Characterization of d.c. Functions in terms of quasidifferentials. Zbl 1229.90137
Ginchev, Ivan; Martínez-Legaz, Juan-Enrique
3
2011
On surjectivity results for maximal monotone operators of type (D). Zbl 1217.47094
Rocco, M.; Martínez-Legaz, J. E.
2
2011
On the infimum of a quasiconvex function over an intersection. Application to the distance function. Zbl 1245.54026
Martínez-Legaz, J.-E.; Martinón, Antonio
2
2011
Motzkin decomposition of closed convex sets. Zbl 1188.90195
Goberna, M. A.; González, E.; Martínez-Legaz, J. E.; Todorov, M. I.
22
2010
On Motzkin decomposable sets and functions. Zbl 1203.52004
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I.
10
2010
Preface. Zbl 1187.90019
López, Marco A.; Martínez-Legaz, Juan Enrique; Shapiro, Alex
5
2010
On a sufficient condition for equality of two maximal monotone operators. Zbl 1258.47066
Burachik, Regina S.; Martínez-Legaz, Juan Enrique; Rocco, Marco
3
2010
Improving the efficiency of DC global optimization methods by improving the DC representation of the objective function. Zbl 1172.90463
Ferrer, Albert; Martínez-Legaz, Juan Enrique
5
2009
On maximally \(q\)-positive sets. Zbl 1185.47052
Martínez-Legaz, Juan Enrique
4
2009
What is invexity with respect to the same \(\eta\)? Zbl 1179.26047
Martínez-Legaz, Juan Enrique
3
2009
Minimal convex functions bounded below by the duality product. Zbl 1133.47040
Martínez-Legaz, J.-E.; Svaiter, B. F.
11
2008
Monotonic analysis over cones. III. Zbl 1145.49010
Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M.
7
2008
Some generalizations of Rockafellar’s surjectivity theorem. Zbl 1198.47071
Martínez-Legaz, J.-E.
6
2008
A tabu search scheme for abstract problems, with applications to the computation of fixed points. Zbl 1141.54017
Martínez-Legaz, Juan Enrique; Soubeyran, Antoine
2
2008
Convex solutions of a functional equation arising in information theory. Zbl 1154.39025
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
3
2007
A contribution to duality theory, applied to the measurement of risk aversion. Zbl 1117.91020
Martínez-Legaz, Juan E.; Quah, John K.-H.
2
2007
Boundedly connected sets and the distance to the intersection of two sets. Zbl 1121.46020
Martínez-Legaz, Juan-Enrique; Martinón, Antonio
2
2007
Duality for equilibrium problems. Zbl 1106.90074
Martínez-Legaz, Juan Enrique; Sosa, Wilfredo
20
2006
Regularization by erasement. Zbl 1148.46044
Martínez-Legaz, Juan-Enrique; Penot, Jean-Paul
10
2006
Some characterizations of convex games. Zbl 1152.91335
Martínez-Legaz, Juan Enrique
3
2006
Some conjugation formulas and subdifferential formulas of convex analysis revisited. Zbl 1211.49018
Martínez-Legaz, J.-E.; Singer, Ivan
2
2006
Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036
Martínez-Legaz, J.-E.; Svaiter, B. F.
49
2005
Generalized convex duality and its economic applications. Zbl 1105.90105
Martínez-Legaz, Juan Enrique
28
2005
Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142
Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried
13
2005
Farkas-type theorems for positively homogeneous semi-infinite systems. Zbl 1077.90072
López, Marco A.; Martínez-Legaz, Juan E.
7
2005
On Brickman’s theorem. Zbl 1077.15024
Martínez-Legaz, Juan Enrique
4
2005
Monotonic analysis over cones. II. Zbl 1153.49308
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
16
2004
Monotonic analysis over cones. I. Zbl 1085.49021
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
14
2004
New formulas for the Legendre-Fenchel transform. Zbl 1052.49020
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
14
2003
\(({\ast},s)\)-dualities. Zbl 1136.49315
Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan
8
2003
The indirect function of an NTU game. Zbl 1072.91006
Martínez-Legaz, J. E.; Meseguer, A.
1
2003
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
34
2002
Characterizations of evenly convex sets and evenly quasiconvex functions. Zbl 1019.52001
Daniilidis, A.; Martinez-Legaz, J.-E.
19
2002
A convex representation of maximal monotone operators. Zbl 0999.47037
Martinez-Legaz, Juan-Enrique; Théra, Michel
33
2001
An appropriate subdifferential for quasiconvex functions. Zbl 1031.49025
Daniilidis, Aris; Hadjisavvas, Nicolas; Martinez-Legaz, Juan-Enrique
19
2001
Duality for d.c. optimization over compact sets. Zbl 1041.90067
Martinez-Legaz, Juan-Enrique; Volle, Michel
5
2001
Generalized convexity and generalized monotonicity. Proceedings of the 6th international symposium, Samos, Greece, September 1999. Zbl 0961.00019
1
2001
On the semivalues and the power core of cooperative TU games. Zbl 0991.91004
Dragan, Irinel; Martinez-Legaz, Juan Enrique
1
2001
Increasing positively homogeneous functions defined on \(\mathbb{R}^n\). Zbl 1025.90035
Martinez-Legaz, J. E.; Rubinov, A. M.
1
2001
Duality in D. C. programming: The case of several D. C. constraints. Zbl 0946.90064
Martínez-Legaz, Juan-Enrique; Volle, Michel
38
1999
Lower subdifferentiability in minimax fractional programming. Zbl 0955.90131
Bajona-Xandri, C.; Martínez-Legaz, J. E.
13
1999
A new subdifferential in quasiconvex analysis. Zbl 0942.49020
Martínez-Legaz, J. E.; Sach, P. H.
10
1999
Least deviation decomposition with respect to a pair of convex sets. Zbl 0940.41019
Luc, D. T.; Martínez-Legaz, J. E.; Seeger, A.
5
1999
A new characterization of totally balanced games. Zbl 1040.91012
Martínez-Legaz, Juan Enrique
1
1999
Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Zbl 0897.00032
3
1998
Simplified global optimality conditions in generalized conjugation theory. Zbl 0933.49008
Flores-Bazán, Fabián; Martínez-Legaz, Juan-Enrique
2
1998
On \(\Phi\)-convexity of convex functions. Zbl 0952.26009
Martínez-Legaz, Juan-Enrique; Singer, Ivan
2
1998
On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016
Martínez-Legaz, Juan-Enrique; Singer, Ivan
5
1997
Lexicographical characterization of the faces of convex sets. Zbl 0901.52008
Martinez-Legaz, J. E.
3
1997
An extension of d. c. duality theory, with an appendix on \(*\)-subdifferentials. Zbl 0893.90143
Martínez-Legaz, J.-E.; Singer, Ivan
2
1997
\(\varepsilon\)-subdifferentials in terms of subdifferentials. Zbl 0870.47032
Martinez-Legaz, Juan-Enrique; Théra, Michel
13
1996
Dual representation of cooperative games based on Fenchel-Moreau conjugation. Zbl 0854.90148
Martínez-Legaz, J.-E.
5
1996
Convex functions with continuous epigraph or continuous level sets. Zbl 0851.90089
Coutat, P.; Volle, M.; Martinez-Legaz, J. E.
3
1996
On expenditure functions. Zbl 0859.90018
Martínez-Legaz, Juan-Enrique; Santos, Manuel S.
2
1996
On the uniqueness of perfect matchings in bipartite graphs. Zbl 0861.05050
Martínez-Legaz, Juan-Enrique
1
1996
An alternative theorem for quadratic forms and extensions. Zbl 0837.15022
Crouzeix, J. P.; Martínez-Legaz, J. E.; Seeger, A.
11
1995
Subdifferentials with respect to dualities. Zbl 0838.90111
Martinez-Legaz, Juan-Enrique; Singer, Ivan
7
1995
Fenchel duality and related properties in generalized conjugation theory. Zbl 0861.49029
Martinez-Legaz, Juan Enrique
6
1995
Dualities associated to binary operations on \(\overline {R}\). Zbl 0832.06004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
3
1995
On convex and quasiconvex spectral functions. Zbl 0911.90277
Martínez-Legaz, Juan Enrique
1
1995
Yuan’s alternative theorem and the maximization of the minimum eigenvalue function. Zbl 0808.90122
Martinez-Legaz, J. E.; Seeger, A.
7
1994
\(*\)-dualities. Zbl 0815.49026
Martinez-Legaz, Juan-Enrique; Singer, Ivan
6
1994
A general cone decomposition theory based on efficiency. Zbl 0819.46002
Martínez-Legaz, J. E.; Seeger, A.
3
1994
Weak lower subdifferentiability in fractional programming. Zbl 0854.90134
Boncompte, M.; Martínez-Legaz, J. E.
1
1994
\(\alpha\)-lower subdifferentiable functions. Zbl 0798.49016
Martínez-Legaz, J. E.; Romano-Rodríguez, S.
5
1993
Duality between direct and indirect preferences. Zbl 0808.90005
Martínez-Legaz, Juan-Enrique; Santos, Manuel S.
5
1993
Lower subdifferentiability of quadratic functions. Zbl 0781.90072
Martínez-Legaz, J. E.; Romano-Rodríguez, S.
3
1993
A generalization of Fan-Browder’s fixed point theorem and its applications. Zbl 0801.54035
Marchi, Ezio; Martínez-Legaz, Juan-Enrique
2
1993
...and 26 more Documents
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Cited by 560 Authors

71 Martínez-Legaz, Juan-Enrique
30 Singer, Ivan
27 Mohebi, Hossein
19 Penot, Jean-Paul
18 Goberna, Miguel Angel
15 Volle, Michel
14 Boţ, Radu Ioan
12 Rubinov, Aleksandr Moiseevich
10 Burachik, Regina Sandra
10 Ivanov Todorov, Maxim
9 Kuroiwa, Daishi
9 Lara, Felipe
8 Doagooei, Ali Reza
8 Fajardo, María D.
8 Iusem, Alfredo Noel
8 Suzuki, Satoshi
8 Wang, Shawn Xianfu
8 Wanka, Gert
7 Bauschke, Heinz H.
7 Jeyakumar, Vaithilingam
7 Niţică, Viorel
7 Simons, Stephen
7 Théra, Michel A.
7 Visintin, Augusto
6 Cotrina, John
6 da Cruz Neto, João Xavier
6 Fang, Donghui
6 Hadjisavvas, Nicolas
6 Rodríguez, Margarita M. L.
6 Sosa, Wilfredo
5 Ramos, Yboon García
5 Hodrea, Ioan Bogdan
5 Li, Guoyin
5 López-Cerdá, Marco Antonio
5 Schrage, Carola
5 Soleimani-damaneh, Majid
5 Soltan, Valeriu
5 Svaiter, Benar Fux
5 Vera de Serio, Virginia N.
5 Vicente-Pérez, José
5 Voisei, Mircea Dan
5 Zălinescu, Constantin
4 Ahmad, Izhar
4 Borwein, Jonathan Michael
4 Bueno, Orestes
4 Dutta, Joydeep
4 Eberhard, Andrew C.
4 Flores-Bazán, Fabián
4 Gadhi, Nazih Abderrazzak
4 Kabgani, Alireza
4 Lassonde, Marc
4 Oliveira, Paulo Roberto
4 Rezaie, Mahboubeh
4 Sisarat, Nithirat
4 Thibault, Lionel
4 Wangkeeree, Rabian
4 Yang, Xiaoqi
4 Yao, Jen-Chih
3 Adly, Samir
3 Akian, Marianne
3 Bartz, Sedi
3 Branzei, Rodica M.
3 Briec, Walter
3 Chancelier, Jean-Philippe
3 Crespi, Giovanni Paolo
3 Crouzeix, Jean-Pierre
3 Csetnek, Ernö Robert
3 Daryaei, M. H.
3 de Lara, Michel
3 Dinh The Luc
3 Ernst, Emil O.
3 Gaubert, Stéphane
3 Grad, Sorin-Mihai
3 Gutiérrez, César
3 Hantoute, Abderrahim
3 Hiriart-Urruty, Jean-Baptiste
3 Jacinto, Flávia Morgana O.
3 Jiménez, Bienvenido
3 Kanzi, Nader
3 Kassay, Gábor
3 Kermani, V. Momenaei
3 Kruger, Alexander Y.
3 Lee, Gue Myung
3 Li, Shengjie
3 Long, Xianjun
3 Lopes, Jurandir O.
3 Martinón, Antonio
3 Mashkoorzadeh, Feryal
3 Movahedian, Nooshin
3 Nobakhtian, Soghra
3 Novo-Sanjurjo, Vicente
3 Reich, Simeon
3 Rocco, Marco
3 Sattarzadeh, Ali Reza
3 Seeger, Alberto
3 Sun, Xiangkai
3 Tijs, Stef H.
3 Yao, Chaoli
2 Aboussoror, Abdelmalek
2 Ansari, Qamrul Hasan
...and 460 more Authors
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Cited in 122 Serials

83 Optimization
57 Journal of Optimization Theory and Applications
45 Journal of Global Optimization
36 Set-Valued and Variational Analysis
33 Journal of Mathematical Analysis and Applications
25 Optimization Letters
20 Numerical Functional Analysis and Optimization
19 Linear Algebra and its Applications
18 Mathematical Programming. Series A. Series B
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 European Journal of Operational Research
13 Journal of Convex Analysis
9 Positivity
8 Set-Valued Analysis
7 Top
6 Vietnam Journal of Mathematics
5 Bulletin of the Australian Mathematical Society
5 Journal of Industrial and Management Optimization
4 Journal of Computational and Applied Mathematics
4 Proceedings of the American Mathematical Society
4 International Journal of Approximate Reasoning
4 SIAM Journal on Optimization
4 Journal of Inequalities and Applications
3 Applicable Analysis
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Computation
3 Applied Mathematics and Optimization
3 Journal of Functional Analysis
3 Journal of Mathematical Economics
3 Operations Research Letters
3 Economic Theory
3 Representation Theory
3 Abstract and Applied Analysis
2 Journal of Approximation Theory
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Mathematical Social Sciences
2 Extracta Mathematicae
2 Annals of Operations Research
2 International Journal of Computer Mathematics
2 Journal of Elasticity
2 ZOR. Zeitschrift für Operations Research
2 Computational Optimization and Applications
2 Filomat
2 Mathematical Methods of Operations Research
2 Mathematical Inequalities & Applications
2 Journal of Nonlinear and Convex Analysis
2 Nonlinear Analysis. Real World Applications
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 Journal of Dynamics and Games
2 Nonlinear Analysis. Theory, Methods & Applications
2 Minimax Theory and its Applications
1 Archive for Rational Mechanics and Analysis
1 Discrete Mathematics
1 Mathematical Notes
1 Physica A
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Fuzzy Sets and Systems
1 Information Sciences
1 Journal of Differential Equations
1 Kybernetika
1 Mathematische Nachrichten
1 Mathematical Programming
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Opsearch
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theory and Decision
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Topology and its Applications
1 Bulletin of the Iranian Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Order
1 Computers & Operations Research
1 Journal of Theoretical Probability
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Cybernetics and Systems Analysis
1 Continuum Mechanics and Thermodynamics
1 Calculus of Variations and Partial Differential Equations
1 Computational and Applied Mathematics
1 ZOR. Mathematical Methods of Operations Research
1 Electronic Journal of Probability
1 Mathematical Problems in Engineering
1 Finance and Stochastics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Taiwanese Journal of Mathematics
1 Journal of Applied Mathematics and Decision Sciences
1 Optimization and Engineering
1 RAIRO. Operations Research
1 Annales Henri Poincaré
1 The ANZIAM Journal
1 Foundations of Computational Mathematics
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
...and 22 more Serials
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Cited in 44 Fields

349 Operations research, mathematical programming (90-XX)
201 Calculus of variations and optimal control; optimization (49-XX)
111 Real functions (26-XX)
95 Convex and discrete geometry (52-XX)
91 Operator theory (47-XX)
62 Functional analysis (46-XX)
46 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Numerical analysis (65-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
14 General topology (54-XX)
13 Approximations and expansions (41-XX)
8 Partial differential equations (35-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Probability theory and stochastic processes (60-XX)
6 Computer science (68-XX)
5 Ordinary differential equations (34-XX)
5 Difference and functional equations (39-XX)
5 Geometry (51-XX)
4 Associative rings and algebras (16-XX)
4 Group theory and generalizations (20-XX)
4 Mechanics of deformable solids (74-XX)
3 Algebraic geometry (14-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Differential geometry (53-XX)
2 Optics, electromagnetic theory (78-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)

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