Edit Profile (opens in new tab) Martínez-Legaz, Juan-Enrique Co-Author Distance Author ID: martinez-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; Legaz, Juan Enrique Martínez; Martìnez-Legaz, Juan Enrique more...less External Links: MGP Documents Indexed: 163 Publications since 1983, including 2 Books and 4 Additional arXiv Preprints 19 Contributions as Editor Reviewing Activity: 282 Reviews Biographic References: 1 Publication Co-Authors: 95 Co-Authors with 142 Joint Publications 2,448 Co-Co-Authors all top 5 Co-Authors 39 single-authored 25 Singer, Ivan 8 Ivanov Todorov, Maxim 7 Tammer, Christiane 6 Burachik, Regina Sandra 6 Goberna, Miguel Angel 6 Rubinov, Aleksandr Moiseevich 6 Seeger, Alberto 6 Sosa, Wilfredo 6 Volle, Michel 4 Dutta, Joydeep 4 Hadjisavvas, Nicolas 4 Pintea, Cornel 4 Rocco, Marco 4 Théra, Michel A. 3 Bilbao, Jesús Mario 3 Crouzeix, Jean-Pierre 3 Daniilidis, Aris 3 Dinh The Luc 3 Kruger, Alexander Y. 3 Martinón, Antonio 3 Mordukhovich, Boris S. 3 Naraghirad, Eskandar 3 Svaiter, Benar Fux 3 Tamadoni Jahromi, Maryam 3 Vicente-Pérez, José 2 Boncompte, M. 2 Bonenti, Francesca 2 Elias, Leonardo M. 2 Elster, Rosalind 2 Giannessi, Franco 2 Hiriart-Urruty, Jean-Baptiste 2 Iusem, Alfredo Noel 2 Jordán, Abelardo 2 López-Cerdá, Marco Antonio 2 Marchi, Ezio 2 Noll, Dominikus 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 Ait Mansour, Mohamed 1 Allevi, Elisabetta 1 Ansari, Qamrul Hasan 1 Bagirov, Adil M. 1 Bajona-Xandri, C. 1 Bednarczuk, Ewa M. 1 Bigi, Giancarlo 1 Bueno, Orestes 1 Cánovas, María Josefa 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 Minisci, Edmondo 1 Mohebi, Hossein 1 Parra, Juan 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 Nguyen Dong Yen 1 Zetina, Carlos Armando all top 5 Serials 36 Optimization 15 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 8 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 all top 5 Fields 97 Operations research, mathematical programming (90-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 34 Real functions (26-XX) 30 Convex and discrete geometry (52-XX) 22 Operator theory (47-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 General and overarching topics; collections (00-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 12 Functional analysis (46-XX) 10 General topology (54-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 4 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 1,034 times in 643 Documents Cited by ▼ Year ▼ Quasiconvex duality theory by generalized conjugation methods. Zbl 0671.49015 Martínez-Legaz, J. E. 64 1988 Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036 Martínez-Legaz, J.-E.; Svaiter, B. F. 51 2005 Duality in D. C. programming: The case of several D. C. constraints. Zbl 0946.90064 Martínez-Legaz, Juan-Enrique; Volle, Michel 41 1999 Downward sets and their separation and approximation properties. Zbl 1013.90101 Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan 36 2002 Generalized convex duality and its economic applications. Zbl 1105.90105 Martínez-Legaz, Juan Enrique 35 2005 A convex representation of maximal monotone operators. Zbl 0999.47037 Martinez-Legaz, Juan-Enrique; Théra, Michel 34 2001 Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints. Zbl 1356.90108 Martínez-Legaz, Juan Enrique 29 2015 Motzkin decomposition of closed convex sets. Zbl 1188.90195 Goberna, M. A.; González, E.; Martínez-Legaz, J. E.; Todorov, M. I. 27 2010 A formula on the approximate subdifferential of the difference of convex functions. Zbl 0742.90071 Martínez-Legaz, J. E.; Seeger, A. 23 1992 An appropriate subdifferential for quasiconvex functions. Zbl 1031.49025 Daniilidis, Aris; Hadjisavvas, Nicolas; Martinez-Legaz, Juan-Enrique 22 2001 Duality for equilibrium problems. Zbl 1106.90074 Martínez-Legaz, Juan Enrique; Sosa, Wilfredo 22 2006 Characterizations of evenly convex sets and evenly quasiconvex functions. Zbl 1019.52001 Daniilidis, A.; Martinez-Legaz, J.-E. 21 2002 Duality between direct and indirect utility functions under minimal hypotheses. Zbl 0717.90008 Martínez-Legaz, J.-E. 19 1991 Exact quasiconvex conjugation. Zbl 0522.90069 Martinez-Legaz, J. E. 18 1983 Monotonic analysis over cones. II. Zbl 1153.49308 Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. 17 2004 Monotonic analysis over cones. I. Zbl 1085.49021 Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. 16 2004 A generalized concept of conjugation. Zbl 0521.49014 Martinez-Legaz, J.-E. 14 1983 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 14 2011 New formulas for the Legendre-Fenchel transform. Zbl 1052.49020 Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E. 14 2003 \(\varepsilon\)-subdifferentials in terms of subdifferentials. Zbl 0870.47032 Martinez-Legaz, Juan-Enrique; Théra, Michel 14 1996 Lower subdifferentiability in minimax fractional programming. Zbl 0955.90131 Bajona-Xandri, C.; Martínez-Legaz, J. E. 13 1999 Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142 Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried 13 2005 A quasiconvex asymptotic function with applications in optimization. Zbl 1409.90141 Hadjisavvas, Nicolas; Lara, Felipe; Martínez-Legaz, Juan Enrique 13 2019 Motzkin decomposition of closed convex sets via truncation. Zbl 1262.52002 Goberna, M. A.; Iusem, A.; Martínez-Legaz, J. E.; Todorov, M. I. 13 2013 On Motzkin decomposable sets and functions. Zbl 1203.52004 Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I. 12 2010 On lower subdifferentiable functions. Zbl 0643.49015 Martínez-Legaz, J. E. 11 1988 The structure of hemispaces in \({\mathbb{R}}^ n\). Zbl 0656.52004 Martínez-Legaz, Juan-Enrique; Singer, Ivan 11 1988 Minimal convex functions bounded below by the duality product. Zbl 1133.47040 Martínez-Legaz, J.-E.; Svaiter, B. F. 11 2008 Regularization by erasement. Zbl 1148.46044 Martínez-Legaz, Juan-Enrique; Penot, Jean-Paul 11 2006 An alternative theorem for quadratic forms and extensions. Zbl 0837.15022 Crouzeix, J. P.; Martínez-Legaz, J. E.; Seeger, A. 11 1995 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 Lexicographical separation in \({\mathbb{R}}^ n\). Zbl 0614.52003 Martínez-Legaz, Juan-Enrique; Singer, Ivan 10 1987 \(\bigvee\)-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 Lexicographical order, inequality systems and optimization. Zbl 0563.90084 Martínez-Legaz, J. E. 9 1984 \(({\ast},s)\)-dualities. Zbl 1136.49315 Getán, J.; Martínez-Legaz, J.-E.; Singer, Ivan 9 2003 Motzkin predecomposable sets. Zbl 1305.52004 Iusem, A. N.; Martínez-Legaz, J. E.; Todorov, M. I. 9 2014 Lexicographical order and duality in multiobjective programming. Zbl 0646.90076 Martinez-Legaz, Juan Enrique 8 1988 Monotonic analysis over cones. III. Zbl 1145.49010 Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M. 8 2008 Subdifferentials with respect to dualities. Zbl 0838.90111 Martinez-Legaz, Juan-Enrique; Singer, Ivan 7 1995 Farkas-type theorems for positively homogeneous semi-infinite systems. Zbl 1077.90072 López, Marco A.; Martínez-Legaz, Juan E. 7 2005 Minimization of quadratic functions on convex sets without asymptotes. Zbl 1397.90293 Martínez-Legaz, Juan-Enrique; Noll, Dominikus; Sosa, Wilfredo 7 2018 Yuan’s alternative theorem and the maximization of the minimum eigenvalue function. Zbl 0808.90122 Martinez-Legaz, J. E.; Seeger, A. 7 1994 A new approach to symmetric quasiconvex conjugacy. Zbl 0543.90085 Martinez-Legaz, J. E. 6 1984 \(*\)-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 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 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 Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Zbl 0897.00032 5 1998 Preface. Zbl 1187.90019 López, Marco A.; Martínez-Legaz, Juan Enrique; Shapiro, Alex 5 2010 Characterization of d.c. Functions in terms of quasidifferentials. Zbl 1229.90137 Ginchev, Ivan; Martínez-Legaz, Juan-Enrique 5 2011 On Brickman’s theorem. Zbl 1077.15024 Martínez-Legaz, Juan Enrique 5 2005 Duality for d.c. optimization over compact sets. Zbl 1041.90067 Martinez-Legaz, Juan-Enrique; Volle, Michel 5 2001 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 Surrogate duality for vector optimization. Zbl 0609.49012 Martinez-Legaz, Juan-Enrique; Singer, Ivan 5 1987 On conjugations for functions with values in extensions of ordered groups. Zbl 0899.49016 Martínez-Legaz, Juan-Enrique; Singer, Ivan 5 1997 \(\alpha\)-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 Dual representation of cooperative games based on Fenchel-Moreau conjugation. Zbl 0854.90148 Martínez-Legaz, J.-E. 5 1996 An additive subfamily of enlargements of a maximally monotone operator. Zbl 1335.49026 Burachik, Regina S.; Martínez-Legaz, Juan Enrique; Rezaie, Mahboubeh; Théra, Michel 5 2015 Some conditions for maximal monotonicity of bifunctions. Zbl 1362.47032 Hadjisavvas, Nicolas; Jacinto, Flávia M. O.; Martínez-Legaz, Juan E. 5 2016 On Bregman-type distances for convex functions and maximally monotone operators. Zbl 06913664 Burachik, Regina S.; Martínez-Legaz, Juan E. 5 2018 Some characterizations of surrogate dual problems. Zbl 0817.90112 Martínez-Legaz, J.-E.; Singer, Ivan 4 1992 On maximally \(q\)-positive sets. Zbl 1185.47052 Martínez-Legaz, Juan Enrique 4 2009 Convex solutions of a functional equation arising in information theory. Zbl 1154.39025 Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E. 4 2007 Some characterizations of \(\varphi\)-Lagrangian dual problems. Zbl 0753.49017 Martínez-Legaz, J.-E.; Singer, Ivan 4 1991 {\(\Gamma\)}-active constraints in convex semi-infinite programming. Zbl 1295.90096 Martínez-Legaz, Juan Enrique; Todorov, Maxim Ivanov; Zetina, Carlos Armando 4 2014 The Voronoi inverse mapping. Zbl 1381.52028 Goberna, M. A.; Martínez-Legaz, J. E.; Vera de Serio, V. N. 4 2016 On farthest Voronoi cells. Zbl 1429.51008 Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I. 4 2019 Optimality conditions for convex problems on intersections of non necessarily convex sets. Zbl 1452.90242 Allevi, E.; Martínez-Legaz, J. E.; Riccardi, R. 4 2020 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 \(\Phi\)-convexity of convex functions. Zbl 0952.26009 Martínez-Legaz, Juan-Enrique; Singer, Ivan 3 1998 Lexicographical characterization of the faces of convex sets. Zbl 0901.52008 Martinez-Legaz, J. E. 3 1997 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 Simplified global optimality conditions in generalized conjugation theory. Zbl 0933.49008 Flores-Bazán, Fabián; Martínez-Legaz, Juan-Enrique 3 1998 Some characterizations of convex games. Zbl 1152.91335 Martínez-Legaz, Juan Enrique 3 2006 Level sets and the minimal time function of linear control processes. Zbl 0586.49004 Martínez-Legaz, Juan-Enrique 3 1987 Generalized conjugation and related topics. Zbl 0707.49018 Martínez-Legaz, J. E. 3 1990 Compatible preorders and linear operators on \({\mathbb{R}}^ n\). Zbl 0726.15014 Martínez-Legaz, Juan-Enrique; SInger, Ivan 3 1991 On expenditure functions. Zbl 0859.90018 Martínez-Legaz, Juan-Enrique; Santos, Manuel S. 3 1996 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 What is invexity with respect to the same \(\eta\)? Zbl 1179.26047 Martínez-Legaz, Juan Enrique 3 2009 Duality for closed convex functions and evenly convex functions. Zbl 1361.90066 Volle, M.; Martínez-Legaz, J. E.; Vicente-Pérez, J. 3 2015 Duality for quasiconvex minimization over closed convex cones. Zbl 1491.90120 Martínez-Legaz, Juan Enrique; Sosa, Wilfredo 3 2022 On farthest Bregman Voronoi cells. Zbl 1490.52006 Martínez-Legaz, Juan Enrique; Jahromi, Maryam Tamadoni; Naraghirad, Eskandar 3 2022 Error bounds for inequality systems defining convex sets. Zbl 1477.90061 Dutta, Joydeep; Martínez-Legaz, Juan Enrique 3 2021 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 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 On surjectivity results for maximal monotone operators of type (D). Zbl 1217.47094 Rocco, M.; Martínez-Legaz, J. E. 2 2011 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. 2 2012 An extension of d. c. duality theory, with an appendix on \(*\)-subdifferentials. Zbl 0893.90143 Martínez-Legaz, J.-E.; Singer, Ivan 2 1997 Some conjugation formulas and subdifferential formulas of convex analysis revisited. Zbl 1211.49018 Martínez-Legaz, J.-E.; Singer, Ivan 2 2006 Multi-order convexity. Zbl 0741.52001 Martínez-Legaz, Juan-Enrique; Singer, Ivan 2 1991 On the Gauss range of a closed convex set. Zbl 07733455 Martínez-Legaz, Juan Enrique; Pintea, Cornel 1 2023 Duality for quasiconvex minimization over closed convex cones. Zbl 1491.90120 Martínez-Legaz, Juan Enrique; Sosa, Wilfredo 3 2022 On farthest Bregman Voronoi cells. Zbl 1490.52006 Martínez-Legaz, Juan Enrique; Jahromi, Maryam Tamadoni; Naraghirad, Eskandar 3 2022 Error bounds for inequality systems defining convex sets. Zbl 1477.90061 Dutta, Joydeep; Martínez-Legaz, Juan Enrique 3 2021 Closed convex sets with an open or closed Gauss range. Zbl 07402667 Martínez-Legaz, Juan Enrique; Pintea, Cornel 2 2021 Obituary: Diethard Pallaschke (1940–2020). Zbl 1454.01040 Elster, Rosalind; Martínez-Legaz, Juan Enrique; Mordukhovich, Boris; Tammer, Christiane 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. 4 2020 Some remarks on Greenberg-Pierskalla subdifferentiability of quasiconvex functions. Zbl 1453.26009 Volle, M.; Martínez-Legaz, J. E. 2 2020 Co-radiant set-valued mappings. Zbl 1471.26016 Jordán, Abelardo; Martínez-Legaz, Juan Enrique 1 2020 A quasiconvex asymptotic function with applications in optimization. Zbl 1409.90141 Hadjisavvas, Nicolas; Lara, Felipe; Martínez-Legaz, Juan Enrique 13 2019 On farthest Voronoi cells. Zbl 1429.51008 Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I. 4 2019 On the structure of higher order Voronoi cells. Zbl 1434.52024 Martínez-Legaz, Juan Enrique; Roshchina, Vera; Todorov, Maxim 2 2019 Minimization of quadratic functions on convex sets without asymptotes. Zbl 1397.90293 Martínez-Legaz, Juan-Enrique; Noll, Dominikus; Sosa, Wilfredo 7 2018 On Bregman-type distances for convex functions and maximally monotone operators. Zbl 06913664 Burachik, Regina S.; Martínez-Legaz, Juan E. 5 2018 Weakly Motzkin predecomposable sets. Zbl 1381.52002 Martínez-Legaz, J. E.; Todorov, M. I. 2 2017 Differentiability v.s. convexity for complementarity functions. Zbl 1373.90163 Huang, Chien-Hao; Chen, Jein-Shan; Martinez-Legaz, Juan Enrique 1 2017 Some conditions for maximal monotonicity of bifunctions. Zbl 1362.47032 Hadjisavvas, Nicolas; Jacinto, Flávia M. O.; Martínez-Legaz, Juan E. 5 2016 The Voronoi inverse mapping. Zbl 1381.52028 Goberna, M. A.; Martínez-Legaz, J. E.; Vera de Serio, V. N. 4 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 2 2016 A simplified conjugation scheme for lower semi-continuous functions. Zbl 1383.49026 Elias, Leonardo M.; Martínez-Legaz, Juan E. 2 2016 Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints. Zbl 1356.90108 Martínez-Legaz, Juan Enrique 29 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 5 2015 Duality for closed convex functions and evenly convex functions. Zbl 1361.90066 Volle, M.; Martínez-Legaz, J. E.; Vicente-Pérez, J. 3 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. 2 2014 On Weierstrass extreme value theorem. Zbl 1283.49010 Martínez-Legaz, Juan Enrique 2 2014 Motzkin decomposition of closed convex sets via truncation. Zbl 1262.52002 Goberna, M. A.; Iusem, A.; Martínez-Legaz, J. E.; Todorov, M. I. 13 2013 Characterization of Lipschitz continuous difference of convex functions. Zbl 1284.90054 Hantoute, A.; Martínez-Legaz, J. E. 2 2013 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. 2 2012 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. 2 2012 Some criteria for maximal abstract monotonicity. Zbl 1262.47076 Mohebi, H.; Martínez-Legaz, J.-E.; Rocco, M. 1 2012 A convex representation of totally balanced games. Zbl 1229.91039 Bilbao, J. M.; Martínez-Legaz, J. E. 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 14 2011 Characterization of d.c. Functions in terms of quasidifferentials. Zbl 1229.90137 Ginchev, Ivan; Martínez-Legaz, Juan-Enrique 5 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. 27 2010 On Motzkin decomposable sets and functions. Zbl 1203.52004 Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I. 12 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. 8 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. 4 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 22 2006 Regularization by erasement. Zbl 1148.46044 Martínez-Legaz, Juan-Enrique; Penot, Jean-Paul 11 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. 51 2005 Generalized convex duality and its economic applications. Zbl 1105.90105 Martínez-Legaz, Juan Enrique 35 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 5 2005 Monotonic analysis over cones. II. Zbl 1153.49308 Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. 17 2004 Monotonic analysis over cones. I. Zbl 1085.49021 Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. 16 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 9 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 36 2002 Characterizations of evenly convex sets and evenly quasiconvex functions. Zbl 1019.52001 Daniilidis, A.; Martinez-Legaz, J.-E. 21 2002 A convex representation of maximal monotone operators. Zbl 0999.47037 Martinez-Legaz, Juan-Enrique; Théra, Michel 34 2001 An appropriate subdifferential for quasiconvex functions. Zbl 1031.49025 Daniilidis, Aris; Hadjisavvas, Nicolas; Martinez-Legaz, Juan-Enrique 22 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 41 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 5 1998 On \(\Phi\)-convexity of convex functions. Zbl 0952.26009 Martínez-Legaz, Juan-Enrique; Singer, Ivan 3 1998 Simplified global optimality conditions in generalized conjugation theory. Zbl 0933.49008 Flores-Bazán, Fabián; Martínez-Legaz, Juan-Enrique 3 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 14 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. 3 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 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 615 Authors 74 Martínez-Legaz, Juan-Enrique 30 Singer, Ivan 29 Mohebi, Hossein 19 Goberna, Miguel Angel 19 Penot, Jean-Paul 16 Volle, Michel 14 Boţ, Radu Ioan 12 Lara, Felipe 12 Li, Shengjie 12 Rubinov, Aleksandr Moiseevich 10 Burachik, Regina Sandra 10 Ivanov Todorov, Maxim 9 Fajardo, María D. 9 Kuroiwa, Daishi 8 Doagooei, Ali Reza 8 Iusem, Alfredo Noel 8 Jeyakumar, Vaithilingam 8 Suzuki, Satoshi 8 Théra, Michel A. 8 Wang, Shawn Xianfu 8 Wanka, Gert 7 Bauschke, Heinz H. 7 López-Cerdá, Marco Antonio 7 Niţică, Viorel 7 Simons, Stephen 7 Visintin, Augusto 6 Cotrina, John 6 da Cruz Neto, João Xavier 6 Fang, Donghui 6 Gadhi, Nazih Abderrazzak 6 Hadjisavvas, Nicolas 6 Rodríguez, Margarita M. L. 6 Soltan, Valeriu 6 Sosa, Wilfredo 6 Vera de Serio, Virginia N. 5 de Lara, Michel 5 Flores-Bazán, Fabián 5 Ramos, Yboon García 5 Hodrea, Ioan Bogdan 5 Kabgani, Alireza 5 Li, Guoyin 5 Long, Xianjun 5 Mahmudov, Elimhan Nadir 5 Schrage, Carola 5 Soleimani-damaneh, Majid 5 Sun, Xiangkai 5 Svaiter, Benar Fux 5 Vicente-Pérez, José 5 Voisei, Mircea Dan 5 Yao, Chaoli 5 Zălinescu, Constantin 4 Borwein, Jonathan Michael 4 Bueno, Orestes 4 Chancelier, Jean-Philippe 4 Dutta, Joydeep 4 Eberhard, Andrew C. 4 Lassonde, Marc 4 Lee, Gue Myung 4 Li, Genghua 4 Oliveira, Paulo Roberto 4 Rezaie, Mahboubeh 4 Sisarat, Nithirat 4 Thibault, Lionel 4 Wangkeeree, Rabian 4 Yang, Xiaoqi 4 Yao, Jen-Chih 4 You, Manxue 3 Aboussoror, Abdelmalek 3 Adly, Samir 3 Akian, Marianne 3 Bartz, Sedi 3 Bianchi, Monica 3 Branzei, Rodica M. 3 Briec, Walter 3 Correa, Rafael Augusto Couceiro 3 Crespi, Giovanni Paolo 3 Crouzeix, Jean-Pierre 3 Csetnek, Ernö Robert 3 Daryaei, M. H. 3 Dinh The Luc 3 Ernst, Emil O. 3 Gaubert, Stéphane 3 Gorokhovik, Valentin Vikent’evich 3 Grad, Sorin-Mihai 3 Gutiérrez, César 3 Hantoute, Abderrahim 3 Hiriart-Urruty, Jean-Baptiste 3 Huang, Nan-Jing 3 Jacinto, Flávia Morgana O. 3 Jiménez, Bienvenido 3 Kanzi, Nader 3 Kassay, Gábor 3 Kermani, V. Momenaei 3 Kruger, Alexander Y. 3 Liu, Juan 3 Lopes, Jurandir O. 3 Martinón, Antonio 3 Mashkoorzadeh, Feryal 3 Movahedian, Nooshin 3 Naraghirad, Eskandar ...and 515 more Authors all top 5 Cited in 130 Serials 92 Optimization 62 Journal of Optimization Theory and Applications 49 Journal of Global Optimization 41 Set-Valued and Variational Analysis 33 Journal of Mathematical Analysis and Applications 28 Optimization Letters 22 Numerical Functional Analysis and Optimization 20 Mathematical Programming. Series A. Series B 19 Linear Algebra and its Applications 19 Journal of Convex Analysis 15 Nonlinear Analysis. Theory, Methods & Applications. 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Mathematical Methods of Operations Research 1 Electronic Journal of Probability 1 International Transactions in Operational Research 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 ...and 30 more Serials all top 5 Cited in 46 Fields 388 Operations research, mathematical programming (90-XX) 229 Calculus of variations and optimal control; optimization (49-XX) 121 Real functions (26-XX) 106 Convex and discrete geometry (52-XX) 98 Operator theory (47-XX) 68 Functional analysis (46-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Numerical analysis (65-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 15 General topology (54-XX) 13 Approximations and expansions (41-XX) 8 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 8 Computer science (68-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-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 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of deformable solids (74-XX) 3 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-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) 1 Systems theory; control (93-XX) Citations by Year