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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
External Links: MGP
Documents Indexed: 162 Publications since 1983, including 5 Books
Reviewing Activity: 250 Reviews
all top 5

Co-Authors

38 single-authored
24 Singer, Ivan
8 Ivanov Todorov, Maxim
6 Rubinov, Alexander M.
6 Seeger, Alberto
6 Volle, Michel
5 Goberna, Miguel Angel
5 Tammer, Christiane
4 Burachik, Regina Sandra
4 Hadjisavvas, Nicolas
4 Rocco, Marco
4 Théra, Michel A.
3 Bilbao, Jesús Mario
3 Crouzeix, Jean-Pierre
3 Dutta, Joydeep
3 Martinón, Antonio
3 Mordukhovich, Boris S.
3 Sosa, Wilfredo
3 Svaiter, Benar Fux
3 Vicente-Pérez, José
2 Boncompte, M.
2 Bonenti, Francesca
2 Daniilidis, Aris
2 Dinh The Luc
2 Elias, Leonardo M.
2 Elster, Rosalind
2 Giannessi, Franco
2 Hiriart-Urruty, Jean-Baptiste
2 Iusem, Alfredo Noel
2 López-Cerdá, Marco Antonio
2 Marchi, Ezio
2 Ocaña Anaya, Eladio
2 Pallaschke, Diethard
2 Penot, Jean-Paul
2 Rezaie, Mahboubeh
2 Riccardi, Rossana
2 Romano-Rodríguez, S.
2 Santos, Manuel S.
2 Soubeyran, Antoine
1 Allevi, Elisabetta
1 Ansari, Qamrul Hasan
1 Bajona-Xandri, C.
1 Bueno, Orestes
1 Chen, Jein-Shan
1 Coutat, P.
1 Dragan, Irinel C.
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 Jordán, Abelardo
1 Köbis, Elisabeth
1 Kruger, Alexander Ya.
1 Lara, Felipe
1 Mahdavi-Amiri, Nezam
1 Meseguer, Antoni
1 Mohebi, Hossein
1 Noll, Dominikus
1 Phan Quôc Khánh
1 Pintea, Cornel
1 Quah, John K.-H.
1 Roshchina, Vera
1 Rückmann, Jan-Joachim
1 Sach, Pham Huu
1 Sakalauskas, Leonidas L.
1 Schaible, Siegfried
1 Shapiro, Alex
1 Simons, Stephen
1 Soleimani-damaneh, Majid
1 Vera de Serio, Virginia N.
1 Wagner, Andrea
1 Weber, Gerhard-Wilhelm
1 Yao, Jen-Chih
1 Zetina, Carlos Armando
all top 5

Serials

29 Optimization
14 Journal of Convex Analysis
13 Journal of Mathematical Analysis and Applications
9 Journal of Optimization Theory and Applications
8 Journal of Global Optimization
8 Linear Algebra and its Applications
6 Set-Valued and Variational Analysis
5 Numerical Functional Analysis and Optimization
3 Journal of Mathematical Economics
3 Mathematical Programming. Series A. Series B
3 Vietnam Journal of Mathematics
3 Optimization Letters
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

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 843 times in 528 Documents Cited by Year
Quasiconvex duality theory by generalized conjugation methods. Zbl 0671.49015
Martínez-Legaz, J. E.
57
1988
Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036
Martínez-Legaz, J.-E.; Svaiter, B. F.
47
2005
Duality in D. C. programming: The case of several D. C. constraints. Zbl 0946.90064
Martínez-Legaz, Juan-Enrique; Volle, Michel
36
1999
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
32
2002
A convex representation of maximal monotone operators. Zbl 0999.47037
Martinez-Legaz, Juan-Enrique; Théra, Michel
31
2001
Generalized convex duality and its economic applications. Zbl 1105.90105
Martínez-Legaz, Juan Enrique
21
2005
Motzkin decomposition of closed convex sets. Zbl 1188.90195
Goberna, M. A.; González, E.; Martínez-Legaz, J. E.; Todorov, M. I.
20
2010
Duality for equilibrium problems. Zbl 1106.90074
Martínez-Legaz, Juan Enrique; Sosa, Wilfredo
20
2006
A formula on the approximate subdifferential of the difference of convex functions. Zbl 0742.90071
Martínez-Legaz, J. E.; Seeger, A.
18
1992
Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints. Zbl 1356.90108
Martínez-Legaz, Juan Enrique
16
2015
An appropriate subdifferential for quasiconvex functions. Zbl 1031.49025
Daniilidis, Aris; Hadjisavvas, Nicolas; Martinez-Legaz, Juan-Enrique
16
2001
Exact quasiconvex conjugation. Zbl 0522.90069
Martinez-Legaz, J. E.
16
1983
Duality between direct and indirect utility functions under minimal hypotheses. Zbl 0717.90008
Martínez-Legaz, J.-E.
16
1991
Characterizations of evenly convex sets and evenly quasiconvex functions. Zbl 1019.52001
Daniilidis, A.; Martinez-Legaz, J.-E.
15
2002
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
New formulas for the Legendre-Fenchel transform. Zbl 1052.49020
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
13
2003
Monotonic analysis over cones. II. Zbl 1153.49308
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
13
2004
Monotonic analysis over cones. I. Zbl 1085.49021
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
12
2004
Motzkin decomposition of closed convex sets via truncation. Zbl 1262.52002
Goberna, M. A.; Iusem, A.; Martínez-Legaz, J. E.; Todorov, M. I.
11
2013
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
A new subdifferential in quasiconvex analysis. Zbl 0942.49020
Martínez-Legaz, J. E.; Sach, P. H.
10
1999
Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142
Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried
10
2005
Minimal convex functions bounded below by the duality product. Zbl 1133.47040
Martínez-Legaz, J.-E.; Svaiter, B. F.
10
2008
Regularization by erasement. Zbl 1148.46044
Martínez-Legaz, Juan-Enrique; Penot, Jean-Paul
10
2006
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
\(\bigvee\)-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
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
9
2011
On Motzkin decomposable sets and functions. Zbl 1203.52004
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I.
9
2010
A generalized concept of conjugation. Zbl 0521.49014
Martinez-Legaz, J.-E.
9
1983
Lexicographical separation in \({\mathbb{R}}^ n\). Zbl 0614.52003
Martínez-Legaz, Juan-Enrique; Singer, Ivan
9
1987
\(({\ast},s)\)-dualities. Zbl 1136.49315
Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan
8
2003
An alternative theorem for quadratic forms and extensions. Zbl 0837.15022
Crouzeix, J. P.; Martínez-Legaz, J. E.; Seeger, A.
8
1995
Lexicographical order and duality in multiobjective programming. Zbl 0646.90076
Martinez-Legaz, Juan Enrique
8
1988
Motzkin predecomposable sets. Zbl 1305.52004
Iusem, A. N.; Martínez-Legaz, J. E.; Todorov, M. I.
7
2014
Farkas-type theorems for positively homogeneous semi-infinite systems. Zbl 1077.90072
López, Marco A.; Martínez-Legaz, Juan E.
7
2005
Subdifferentials with respect to dualities. Zbl 0838.90111
Martinez-Legaz, Juan-Enrique; Singer, Ivan
7
1995
Monotonic analysis over cones. III. Zbl 1145.49010
Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M.
7
2008
A quasiconvex asymptotic function with applications in optimization. Zbl 1409.90141
Hadjisavvas, Nicolas; Lara, Felipe; Martínez-Legaz, Juan Enrique
7
2019
Lexicographical order, inequality systems and optimization. Zbl 0563.90084
Martínez-Legaz, J. E.
7
1984
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
\(*\)-dualities. Zbl 0815.49026
Martinez-Legaz, Juan-Enrique; Singer, Ivan
6
1994
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
Yuan’s alternative theorem and the maximization of the minimum eigenvalue function. Zbl 0808.90122
Martinez-Legaz, J. E.; Seeger, A.
5
1994
Duality between direct and indirect preferences. Zbl 0808.90005
Martínez-Legaz, Juan-Enrique; Santos, Manuel S.
5
1993
On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016
Martínez-Legaz, Juan-Enrique; Singer, Ivan
5
1997
Fenchel duality and related properties in generalized conjugation theory. Zbl 0861.49029
Martinez-Legaz, Juan Enrique
5
1995
Duality for d.c. optimization over compact sets. Zbl 1041.90067
Martinez-Legaz, Juan-Enrique; Volle, Michel
5
2001
Preface. Zbl 1187.90019
López, Marco A.; Martínez-Legaz, Juan Enrique; Shapiro, Alex
5
2010
Dual representation of cooperative games based on Fenchel-Moreau conjugation. Zbl 0854.90148
Martínez-Legaz, J.-E.
5
1996
Surrogate duality for vector optimization. Zbl 0609.49012
Martinez-Legaz, Juan-Enrique; Singer, Ivan
5
1987
{\(\Gamma\)}-active constraints in convex semi-infinite programming. Zbl 1295.90096
Martínez-Legaz, Juan Enrique; Todorov, Maxim Ivanov; Zetina, Carlos Armando
4
2014
Some characterizations of \(\varphi\)-Lagrangian dual problems. Zbl 0753.49017
Martínez-Legaz, J.-E.; Singer, Ivan
4
1991
Some characterizations of surrogate dual problems. Zbl 0817.90112
Martínez-Legaz, J.-E.; Singer, Ivan
4
1992
\(\alpha\)-lower subdifferentiable functions. Zbl 0798.49016
Martínez-Legaz, J. E.; Romano-Rodríguez, S.
4
1993
On Brickman’s theorem. Zbl 1077.15024
Martínez-Legaz, Juan Enrique
4
2005
On maximally \(q\)-positive sets. Zbl 1185.47052
Martínez-Legaz, Juan Enrique
4
2009
Some conditions for maximal monotonicity of bifunctions. Zbl 1362.47032
Hadjisavvas, Nicolas; Jacinto, Flávia M. O.; Martínez-Legaz, Juan E.
4
2016
Minimization of quadratic functions on convex sets without asymptotes. Zbl 1397.90293
Martínez-Legaz, Juan-Enrique; Noll, Dominikus; Sosa, Wilfredo
4
2018
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
4
2009
Characterization of d.c. Functions in terms of quasidifferentials. Zbl 1229.90137
Ginchev, Ivan; Martínez-Legaz, Juan-Enrique
3
2011
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
Dualities associated to binary operations on \(\overline {R}\). Zbl 0832.06004
Martínez-Legaz, Juan-Enrique; Singer, Ivan
3
1995
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
Lexicographical characterization of the faces of convex sets. Zbl 0901.52008
Martinez-Legaz, J. E.
3
1997
The Voronoi inverse mapping. Zbl 1381.52028
Goberna, M. A.; Martínez-Legaz, J. E.; Vera de Serio, V. N.
3
2016
Convex functions with continuous epigraph or continuous level sets. Zbl 0851.90089
Coutat, P.; Volle, M.; Martinez-Legaz, J. E.
3
1996
A new approach to symmetric quasiconvex conjugacy. Zbl 0543.90085
Martinez-Legaz, J. E.
3
1984
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
Compatible preorders and linear operators on \({\mathbb{R}}^ n\). Zbl 0726.15014
Martínez-Legaz, Juan-Enrique
3
1991
What is invexity with respect to the same \(\eta\)? Zbl 1179.26047
Martínez-Legaz, Juan Enrique
3
2009
Some characterizations of convex games. Zbl 1152.91335
Martínez-Legaz, Juan Enrique
3
2006
Convex solutions of a functional equation arising in information theory. Zbl 1154.39025
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
3
2007
Level sets and the minimal time function of linear control processes. Zbl 0586.49004
Martínez-Legaz, Juan-Enrique
3
1987
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
On surjectivity results for maximal monotone operators of type (D). Zbl 1217.47094
Rocco, M.; Martínez-Legaz, J. E.
2
2011
On \(\Phi\)-convexity of convex functions. Zbl 0952.26009
Martínez-Legaz, Juan-Enrique; Singer, Ivan
2
1998
Multi-order convexity. Zbl 0741.52001
Martínez-Legaz, Juan-Enrique; Singer, Ivan
2
1991
Simplified global optimality conditions in generalized conjugation theory. Zbl 0933.49008
Flores-Bazán, Fabián; Martínez-Legaz, Juan-Enrique
2
1998
A generalization of Fan-Browder’s fixed point theorem and its applications. Zbl 0801.54035
Marchi, Ezio; Martínez-Legaz, Juan-Enrique
2
1993
An extension of d. c. duality theory, with an appendix on \(*\)-subdifferentials. Zbl 0893.90143
Martínez-Legaz, J.-E.; Singer, Ivan
2
1997
Characterization of Lipschitz continuous difference of convex functions. Zbl 1284.90054
Hantoute, A.; Martínez-Legaz, J. E.
2
2013
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
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
Some conjugation formulas and subdifferential formulas of convex analysis revisited. Zbl 1211.49018
Martínez-Legaz, J.-E.; Singer, Ivan
2
2006
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
On expenditure functions. Zbl 0859.90018
Martínez-Legaz, Juan-Enrique; Santos, Manuel S.
2
1996
Locating a semi-obnoxious facility – A Toland-Singer duality based approach. Zbl 1354.49077
Wagner, Andrea; Martínez-Legaz, Juan-Enrique; Tammer, Christiane
2
2016
Generalized conjugation and related topics. Zbl 0707.49018
Martínez-Legaz, J. E.
2
1990
Boundedly connected sets and the distance to the intersection of two sets. Zbl 1121.46020
Martínez-Legaz, Juan-Enrique; Martinón, Antonio
2
2007
Lexicographical representation of convex sets. Zbl 1255.52007
Martínez-Legaz, Juan Enrique; Vicente-Pérez, José
2
2012
A convex representation of totally balanced games. Zbl 1229.91039
Bilbao, J. M.; Martínez-Legaz, J. E.
1
2012
On the monotone polar and representable closures of monotone operators. Zbl 1305.47035
Bueno, Orestes; Martínez-Legaz, Juan Enrique; Svaiter, Benar F.
1
2014
Some criteria for maximal abstract monotonicity. Zbl 1262.47076
Mohebi, H.; Martínez-Legaz, J.-E.; Rocco, M.
1
2012
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
7
2019
On farthest Voronoi cells. Zbl 1429.51008
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I.
1
2019
Minimization of quadratic functions on convex sets without asymptotes. Zbl 1397.90293
Martínez-Legaz, Juan-Enrique; Noll, Dominikus; Sosa, Wilfredo
4
2018
On Bregman-type distances for convex functions and maximally monotone operators. Zbl 06913664
Burachik, Regina S.; Martínez-Legaz, Juan E.
1
2018
Differentiability v.s. convexity for complementarity functions. Zbl 1373.90163
Huang, Chien-Hao; Chen, Jein-Shan; Martinez-Legaz, Juan Enrique
1
2017
Weakly Motzkin predecomposable sets. Zbl 1381.52002
Martínez-Legaz, J. E.; Todorov, M. I.
1
2017
Some conditions for maximal monotonicity of bifunctions. Zbl 1362.47032
Hadjisavvas, Nicolas; Jacinto, Flávia M. O.; Martínez-Legaz, Juan E.
4
2016
The Voronoi inverse mapping. Zbl 1381.52028
Goberna, M. A.; Martínez-Legaz, J. E.; Vera de Serio, V. N.
3
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
Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints. Zbl 1356.90108
Martínez-Legaz, Juan Enrique
16
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.
7
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.
11
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
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
New results on \(q\)-positivity. Zbl 1334.47053
García Ramos, Y.; Martínez-Legaz, J. E.; Simons, S.
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
9
2011
Characterization of d.c. Functions in terms of quasidifferentials. Zbl 1229.90137
Ginchev, Ivan; Martínez-Legaz, Juan-Enrique
3
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
On surjectivity results for maximal monotone operators of type (D). Zbl 1217.47094
Rocco, M.; Martínez-Legaz, J. E.
2
2011
Motzkin decomposition of closed convex sets. Zbl 1188.90195
Goberna, M. A.; González, E.; Martínez-Legaz, J. E.; Todorov, M. I.
20
2010
On Motzkin decomposable sets and functions. Zbl 1203.52004
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I.
9
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
On maximally \(q\)-positive sets. Zbl 1185.47052
Martínez-Legaz, Juan Enrique
4
2009
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
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.
10
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.
47
2005
Generalized convex duality and its economic applications. Zbl 1105.90105
Martínez-Legaz, Juan Enrique
21
2005
Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142
Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried
10
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.
13
2004
Monotonic analysis over cones. I. Zbl 1085.49021
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
12
2004
New formulas for the Legendre-Fenchel transform. Zbl 1052.49020
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
13
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
32
2002
Characterizations of evenly convex sets and evenly quasiconvex functions. Zbl 1019.52001
Daniilidis, A.; Martinez-Legaz, J.-E.
15
2002
A convex representation of maximal monotone operators. Zbl 0999.47037
Martinez-Legaz, Juan-Enrique; Théra, Michel
31
2001
An appropriate subdifferential for quasiconvex functions. Zbl 1031.49025
Daniilidis, Aris; Hadjisavvas, Nicolas; Martinez-Legaz, Juan-Enrique
16
2001
Duality for d.c. optimization over compact sets. Zbl 1041.90067
Martinez-Legaz, Juan-Enrique; Volle, Michel
5
2001
On the semivalues and the power core of cooperative TU games. Zbl 0991.91004
Dragan, Irinel; Martinez-Legaz, Juan Enrique
1
2001
Generalized convexity and generalized monotonicity. Proceedings of the 6th international symposium, Samos, Greece, September 1999. Zbl 0961.00019
Hadjisavvas, Nicolas; Martínez-Legaz, Juan Enrique; Penot, Jean-Paul
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
36
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
On \(\Phi\)-convexity of convex functions. Zbl 0952.26009
Martínez-Legaz, Juan-Enrique; Singer, Ivan
2
1998
Simplified global optimality conditions in generalized conjugation theory. Zbl 0933.49008
Flores-Bazán, Fabián; Martínez-Legaz, Juan-Enrique
2
1998
Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Zbl 0897.00032
Crouzeix, Jean-Pierre; Martinez-Legaz, Juan-Enrique; Volle, Michel
1
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.
8
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
5
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
\(*\)-dualities. Zbl 0815.49026
Martinez-Legaz, Juan-Enrique; Singer, Ivan
6
1994
Yuan’s alternative theorem and the maximization of the minimum eigenvalue function. Zbl 0808.90122
Martinez-Legaz, J. E.; Seeger, A.
5
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
Duality between direct and indirect preferences. Zbl 0808.90005
Martínez-Legaz, Juan-Enrique; Santos, Manuel S.
5
1993
\(\alpha\)-lower subdifferentiable functions. Zbl 0798.49016
Martínez-Legaz, J. E.; Romano-Rodríguez, S.
4
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
A formula on the approximate subdifferential of the difference of convex functions. Zbl 0742.90071
Martínez-Legaz, J. E.; Seeger, A.
18
1992
Some characterizations of surrogate dual problems. Zbl 0817.90112
Martínez-Legaz, J.-E.; Singer, Ivan
4
1992
Duality between direct and indirect utility functions under minimal hypotheses. Zbl 0717.90008
Martínez-Legaz, J.-E.
16
1991
Fractional programming by lower subdifferentiability techniques. Zbl 0696.90068
Boncompte, M.; Martinez-Legaz, J. E.
11
1991
\(\bigvee\)-dualities and \(\perp\)-dualities. Zbl 0728.06007
Martínez-Legaz, J.-E.; Singer, Ivan
10
1991
Some characterizations of \(\varphi\)-Lagrangian dual problems. Zbl 0753.49017
Martínez-Legaz, J.-E.; Singer, Ivan
4
1991
...and 20 more Documents
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Cited by 504 Authors

63 Martínez-Legaz, Juan-Enrique
29 Singer, Ivan
24 Mohebi, Hossein
19 Penot, Jean-Paul
17 Goberna, Miguel Angel
15 Volle, Michel
14 Boţ, Radu Ioan
10 Ivanov Todorov, Maxim
9 Kuroiwa, Daishi
8 Doagooei, Ali Reza
8 Lara, Felipe
8 Suzuki, Satoshi
8 Wang, Shawn Xianfu
8 Wanka, Gert
7 Bauschke, Heinz H.
7 Iusem, Alfredo Noel
7 Jeyakumar, Vaithilingam
7 Niţică, Viorel
7 Rubinov, Alexander M.
7 Simons, Stephen
7 Théra, Michel A.
6 Burachik, Regina Sandra
6 da Cruz Neto, João Xavier
6 Fajardo, María D.
6 Fang, Donghui
6 Hadjisavvas, Nicolas
6 Rodríguez, Margarita M. L.
6 Visintin, Augusto
5 Cotrina, John
5 Ramos, Yboon García
5 Hodrea, Ioan Bogdan
5 Li, Guoyin
5 López-Cerdá, Marco Antonio
5 Schrage, Carola
5 Sosa, Wilfredo
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 Eberhard, Andrew C.
4 Gadhi, Nazih Abderrazzak
4 Lassonde, Marc
4 Oliveira, Paulo Roberto
4 Rezaie, Mahboubeh
4 Sisarat, Nithirat
4 Soleimani-damaneh, Majid
4 Wangkeeree, Rabian
4 Yao, Jen-Chih
3 Adly, Samir
3 Akian, Marianne
3 Bartz, Sedi
3 Branzei, Rodica M.
3 Bueno, Orestes
3 Crespi, Giovanni Paolo
3 Crouzeix, Jean-Pierre
3 Csetnek, Ernö Robert
3 Daryaei, M. H.
3 Dinh The Luc
3 Dutta, Joydeep
3 Ernst, Emil O.
3 Gaubert, Stéphane
3 Gutiérrez, César
3 Hantoute, Abderrahim
3 Hiriart-Urruty, Jean-Baptiste
3 Jacinto, Flávia Morgana O.
3 Jiménez, Bienvenido
3 Kabgani, Alireza
3 Kanzi, Nader
3 Kassay, Gábor
3 Kermani, V. Momenaei
3 Lee, Gue Myung
3 Long, Xianjun
3 Lopes, Jurandir O.
3 Martinón, Antonio
3 Novo-Sanjurjo, Vicente
3 Reich, Simeon
3 Rocco, Marco
3 Seeger, Alberto
3 Soltan, Valeriu
3 Sun, Xiangkai
3 Tijs, Stef H.
2 Aboussoror, Abdelmalek
2 Atchonouglo, Kossi
2 Aussel, Didier
2 Balashov, Maxim Viktorovich
2 Bianchi, Monica
2 Bilbao, Jesús Mario
2 Briec, Walter
2 Censor, Yair
2 Chen, Haibin
2 Cheng, Cao-Zong
2 Chieu, Nguyen Huy
2 Chuong, Thai Doan
2 Correa, Rafael
2 Daniilidis, Aris
2 Ferrer, Albert
2 Flores-Bazán, Fabián
...and 404 more Authors
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Cited in 113 Serials

74 Optimization
49 Journal of Optimization Theory and Applications
44 Journal of Global Optimization
32 Journal of Mathematical Analysis and Applications
31 Set-Valued and Variational Analysis
24 Optimization Letters
20 Numerical Functional Analysis and Optimization
19 Linear Algebra and its Applications
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Mathematical Programming. Series A. Series B
13 European Journal of Operational Research
9 Positivity
8 Set-Valued Analysis
7 Journal of Convex Analysis
6 Top
6 Vietnam Journal of Mathematics
5 Bulletin of the Australian Mathematical Society
4 Journal of Computational and Applied Mathematics
4 Proceedings of the American Mathematical Society
4 SIAM Journal on Optimization
4 Journal of Inequalities and Applications
4 Journal of Industrial and Management Optimization
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Computation
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 Applicable Analysis
2 Applied Mathematics and Optimization
2 Journal of Approximation Theory
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 International Journal of Approximate Reasoning
2 Annals of Operations Research
2 International Journal of Computer Mathematics
2 Journal of Elasticity
2 ZOR. Zeitschrift für Operations Research
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 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 Mathematical Social Sciences
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 Computational Optimization and Applications
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 The ANZIAM Journal
1 Journal of Applied Mathematics
1 Communications on Pure and Applied Analysis
1 4OR
1 Analysis in Theory and Applications
1 Thai Journal of Mathematics
1 Fixed Point Theory and Applications
1 Cubo
...and 13 more Serials
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Cited in 41 Fields

313 Operations research, mathematical programming (90-XX)
182 Calculus of variations and optimal control; optimization (49-XX)
100 Real functions (26-XX)
88 Operator theory (47-XX)
86 Convex and discrete geometry (52-XX)
61 Functional analysis (46-XX)
43 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 Numerical analysis (65-XX)
13 General topology (54-XX)
11 Approximations and expansions (41-XX)
7 Partial differential equations (35-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Difference and functional equations (39-XX)
5 Geometry (51-XX)
5 Probability theory and stochastic processes (60-XX)
5 Computer science (68-XX)
4 Associative rings and algebras (16-XX)
4 Group theory and generalizations (20-XX)
4 Ordinary differential equations (34-XX)
3 Algebraic geometry (14-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mechanics of deformable solids (74-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Optics, electromagnetic theory (78-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-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 Dynamical systems and ergodic theory (37-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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