Martínez-Legaz, Juan Enrique; Tamadoni Jahromi, Maryam; Naraghirad, Eskandar Correction to: “On farthest Bregman Voronoi cells”. (English) Zbl 07814983 Optimization 73, No. 3, 897-898 (2024). MSC: 52A20 26B25 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} et al., Optimization 73, No. 3, 897--898 (2024; Zbl 07814983) Full Text: DOI
Martínez-Legaz, Juan Enrique; Pintea, Cornel On the Gauss range of a closed convex set. (English) Zbl 07733455 J. Convex Anal. 30, No. 4, 1203-1216 (2023). MSC: 52A20 26B25 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{C. Pintea}, J. Convex Anal. 30, No. 4, 1203--1216 (2023; Zbl 07733455) Full Text: Link
Martínez-Legaz, Juan Enrique A mean value theorem for tangentially convex functions. (English) Zbl 1528.26017 Set-Valued Var. Anal. 31, No. 2, Paper No. 13, 10 p. (2023). MSC: 26B25 26A24 26A51 49J52 47H05 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, Set-Valued Var. Anal. 31, No. 2, Paper No. 13, 10 p. (2023; Zbl 1528.26017) Full Text: DOI
Martínez-Legaz, Juan Enrique; Jahromi, Maryam Tamadoni; Naraghirad, Eskandar On farthest Bregman Voronoi cells. (English) Zbl 1490.52006 Optimization 71, No. 4, 937-947 (2022); correction ibid. 73, No. 3, 897-898 (2024). Reviewer: Sorin-Mihai Grad (Paris) MSC: 52A20 26B25 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} et al., Optimization 71, No. 4, 937--947 (2022; Zbl 1490.52006) Full Text: DOI
Martínez-Legaz, Juan Enrique; Sosa, Wilfredo Duality for quasiconvex minimization over closed convex cones. (English) Zbl 1491.90120 Optim. Lett. 16, No. 4, 1337-1352 (2022); correction ibid. 16, No. 4, 1353-1354 (2022). MSC: 90C25 90C46 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{W. Sosa}, Optim. Lett. 16, No. 4, 1337--1352 (2022; Zbl 1491.90120) Full Text: DOI
Martínez-Legaz, Juan Enrique; Pintea, Cornel Closed convex sets with an open or closed Gauss range. (English) Zbl 07402667 Math. Program. 189, No. 1-2 (B), 433-454 (2021). MSC: 52A20 53A07 26B25 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{C. Pintea}, Math. Program. 189, No. 1--2 (B), 433--454 (2021; Zbl 07402667) Full Text: DOI
Volle, M.; Martínez-Legaz, J. E. Some remarks on Greenberg-Pierskalla subdifferentiability of quasiconvex functions. (English) Zbl 1453.26009 Vietnam J. Math. 48, No. 2, 391-406 (2020). Reviewer: Frank Plastria (Brussels) MSC: 26B25 49J52 90C26 90C46 PDFBibTeX XMLCite \textit{M. Volle} and \textit{J. E. Martínez-Legaz}, Vietnam J. Math. 48, No. 2, 391--406 (2020; Zbl 1453.26009) Full Text: DOI
Jordán, Abelardo; Martínez-Legaz, Juan Enrique Co-radiant set-valued mappings. (English) Zbl 1471.26016 J. Convex Anal. 27, No. 2, 389-405 (2020). MSC: 26E25 49J53 PDFBibTeX XMLCite \textit{A. Jordán} and \textit{J. E. Martínez-Legaz}, J. Convex Anal. 27, No. 2, 389--405 (2020; Zbl 1471.26016) Full Text: arXiv Link
Martínez-Legaz, Juan Enrique The contribution of K.-H. Elster to generalized conjugation theory and nonconvex duality. (English) Zbl 1334.90131 Optimization 64, No. 1, 87-96 (2015). MSC: 90C26 49N15 52A01 90C32 90C29 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, Optimization 64, No. 1, 87--96 (2015; Zbl 1334.90131) Full Text: DOI Link
Martínez-Legaz, Juan Enrique Integration of the Fenchel subdifferentials revisited. (English) Zbl 1304.26012 Vietnam J. Math. 42, No. 4, 533-542 (2014). MSC: 26B25 46N10 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, Vietnam J. Math. 42, No. 4, 533--542 (2014; Zbl 1304.26012) Full Text: DOI Link
Martínez-Legaz, Juan-Enrique; Martinón, Antonio On the infimum of a quasiconvex vector function over an intersection. (English) Zbl 1284.06045 Top 20, No. 2, 503-516 (2012). MSC: 06F20 26B25 52A41 PDFBibTeX XMLCite \textit{J.-E. Martínez-Legaz} and \textit{A. Martinón}, Top 20, No. 2, 503--516 (2012; Zbl 1284.06045) Full Text: DOI Link
Mohebi, H.; Martínez-Legaz, J.-E.; Rocco, M. Some criteria for maximal abstract monotonicity. (English) Zbl 1262.47076 J. Glob. Optim. 53, No. 2, 137-163 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 47H05 47H04 52A01 26A51 26B25 PDFBibTeX XMLCite \textit{H. Mohebi} et al., J. Glob. Optim. 53, No. 2, 137--163 (2012; Zbl 1262.47076) Full Text: DOI Link
Martínez-Legaz, Juan Enrique; Vicente-Pérez, José Lexicographical representation of convex sets. (English) Zbl 1255.52007 J. Convex Anal. 19, No. 2, 485-496 (2012). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52A40 90C25 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{J. Vicente-Pérez}, J. Convex Anal. 19, No. 2, 485--496 (2012; Zbl 1255.52007) Full Text: Link
Ginchev, Ivan; Martínez-Legaz, Juan-Enrique Characterization of d.c. Functions in terms of quasidifferentials. (English) Zbl 1229.90137 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6781-6787 (2011). MSC: 90C26 26B25 49J52 PDFBibTeX XMLCite \textit{I. Ginchev} and \textit{J.-E. Martínez-Legaz}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6781--6787 (2011; Zbl 1229.90137) Full Text: DOI
Martínez-Legaz, J.-E.; Martinón, Antonio On the infimum of a quasiconvex function over an intersection. Application to the distance function. (English) Zbl 1245.54026 J. Convex Anal. 18, No. 3, 687-698 (2011). Reviewer: Ryszard Pawlak (Łódź) MSC: 54E35 26B25 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{A. Martinón}, J. Convex Anal. 18, No. 3, 687--698 (2011; Zbl 1245.54026) Full Text: Link
Martínez-Legaz, Juan Enrique; Vicente-Pérez, José The e-support function of an e-convex set and conjugacy for e-convex functions. (English) Zbl 1213.26017 J. Math. Anal. Appl. 376, No. 2, 602-612 (2011). Reviewer: József Sándor (Cluj-Napoca) MSC: 26B25 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{J. Vicente-Pérez}, J. Math. Anal. Appl. 376, No. 2, 602--612 (2011; Zbl 1213.26017) Full Text: DOI
Goberna, M. A.; González, E.; Martínez-Legaz, J. E.; Todorov, M. I. Motzkin decomposition of closed convex sets. (English) Zbl 1188.90195 J. Math. Anal. Appl. 364, No. 1, 209-221 (2010). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 90C25 90C05 52A20 52A40 52B11 PDFBibTeX XMLCite \textit{M. A. Goberna} et al., J. Math. Anal. Appl. 364, No. 1, 209--221 (2010; Zbl 1188.90195) Full Text: DOI
Martínez-Legaz, Juan Enrique What is invexity with respect to the same \(\eta\)? (English) Zbl 1179.26047 Taiwanese J. Math. 13, No. 2B, 753-755 (2009). MSC: 26B25 90C26 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, Taiwanese J. Math. 13, No. 2B, 753--755 (2009; Zbl 1179.26047) Full Text: DOI
Martínez-Legaz, J.-E. Some generalizations of Rockafellar’s surjectivity theorem. (English) Zbl 1198.47071 Pac. J. Optim. 4, No. 3, 527-535 (2008). Reviewer: Regina Sandra Burachik (Adelaide) MSC: 47H05 26B25 90C46 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, Pac. J. Optim. 4, No. 3, 527--535 (2008; Zbl 1198.47071)
Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M. Monotonic analysis over cones. III. (English) Zbl 1145.49010 J. Convex Anal. 15, No. 3, 561-579 (2008). MSC: 49J52 26B25 90C25 PDFBibTeX XMLCite \textit{J. Dutta} et al., J. Convex Anal. 15, No. 3, 561--579 (2008; Zbl 1145.49010) Full Text: Link
Martínez-Legaz, J.-E.; Singer, Ivan Comparing Fenchel-Moreau conjugates with level set conjugates. (English) Zbl 1146.49032 J. Convex Anal. 15, No. 2, 285-297 (2008). MSC: 49N15 26B25 52A01 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{I. Singer}, J. Convex Anal. 15, No. 2, 285--297 (2008; Zbl 1146.49032) Full Text: Link
Martínez-Legaz, J.-E.; Svaiter, B. F. Minimal convex functions bounded below by the duality product. (English) Zbl 1133.47040 Proc. Am. Math. Soc. 136, No. 3, 873-878 (2008). Reviewer: Sergei V. Rogosin (Minsk) MSC: 47H05 26B25 52A41 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{B. F. Svaiter}, Proc. Am. Math. Soc. 136, No. 3, 873--878 (2008; Zbl 1133.47040) Full Text: DOI
Martínez-Legaz, J.-E. Convex conjugation and duality for the solutions of a functional equation. (English) Zbl 1148.26300 Vietnam J. Math. 35, No. 4, 481-493 (2007). MSC: 26A51 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, Vietnam J. Math. 35, No. 4, 481--493 (2007; Zbl 1148.26300)
Martínez-Legaz, Juan Enrique On Brickman’s theorem. (English) Zbl 1077.15024 J. Convex Anal. 12, No. 1, 139-143 (2005). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 52A10 15A60 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, J. Convex Anal. 12, No. 1, 139--143 (2005; Zbl 1077.15024)
Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried Increasing quasiconcave co-radiant functions with applications in mathematical economics. (English) Zbl 1090.90142 Math. Methods Oper. Res. 61, No. 2, 261-280 (2005); erratum ibid. 85, No. 3, 521 (2017). MSC: 90C26 91B16 91B38 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} et al., Math. Methods Oper. Res. 61, No. 2, 261--280 (2005; Zbl 1090.90142) Full Text: DOI
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. Monotonic analysis over cones. II. (English) Zbl 1153.49308 Optimization 53, No. 5-6, 529-547 (2004). MSC: 49J52 26B25 26E35 90C25 PDFBibTeX XMLCite \textit{J. Dutta} et al., Optimization 53, No. 5--6, 529--547 (2004; Zbl 1153.49308) Full Text: DOI
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. Monotonic analysis over cones. I. (English) Zbl 1085.49021 Optimization 53, No. 2, 129-146 (2004). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 26E35 52A07 26B25 PDFBibTeX XMLCite \textit{J. Dutta} et al., Optimization 53, No. 2, 129--146 (2004; Zbl 1085.49021) Full Text: DOI
Daniilidis, A.; Martinez-Legaz, J.-E. Characterizations of evenly convex sets and evenly quasiconvex functions. (English) Zbl 1019.52001 J. Math. Anal. Appl. 273, No. 1, 58-66 (2002). Reviewer: Frank Plastria (Brussel) MSC: 52A07 26B25 PDFBibTeX XMLCite \textit{A. Daniilidis} and \textit{J. E. Martinez-Legaz}, J. Math. Anal. Appl. 273, No. 1, 58--66 (2002; Zbl 1019.52001) Full Text: DOI
Martinez-Legaz, J. E.; Rubinov, A. M. Increasing positively homogeneous functions defined on \(\mathbb{R}^n\). (English) Zbl 1025.90035 Acta Math. Vietnam. 26, No. 3, 313-331 (2001). Reviewer: Rita Pini (Milano) MSC: 90C46 26B25 49J25 PDFBibTeX XMLCite \textit{J. E. Martinez-Legaz} and \textit{A. M. Rubinov}, Acta Math. Vietnam. 26, No. 3, 313--331 (2001; Zbl 1025.90035)
Daniilidis, Aris; Hadjisavvas, Nicolas; Martinez-Legaz, Juan-Enrique An appropriate subdifferential for quasiconvex functions. (English) Zbl 1031.49025 SIAM J. Optim. 12, No. 2, 407-420 (2002). Reviewer: A.Seeger (Avignon) MSC: 49J52 26B25 90C26 PDFBibTeX XMLCite \textit{A. Daniilidis} et al., SIAM J. Optim. 12, No. 2, 407--420 (2001; Zbl 1031.49025) Full Text: DOI
Hadjisavvas, Nicolas (ed.); Martínez-Legaz, Juan Enrique (ed.); Penot, Jean-Paul (ed.) Generalized convexity and generalized monotonicity. Proceedings of the 6th international symposium, Samos, Greece, September 1999. (English) Zbl 0961.00019 Lecture Notes in Economics and Mathematical Systems. 502. Berlin: Springer. ix, 410 p. (2001). MSC: 00B25 49-06 26-06 90-06 PDFBibTeX XMLCite \textit{N. Hadjisavvas} (ed.) et al., Generalized convexity and generalized monotonicity. Proceedings of the 6th international symposium, Samos, Greece, September 1999. Berlin: Springer (2001; Zbl 0961.00019) Full Text: DOI
Martinez-Legaz, Juan-Enrique; Singer, Ivan Semi-spaces and bases of convexity systems in complete lattices. (English) Zbl 0964.06005 Théra, Michel (ed.), Constructive, experimental, and nonlinear analysis. Selected papers of a workshop, Limoges, France, September 22-23, 1999. Providence, RI: American Mathematical Society (AMS), publ. for the Canadian Mathematical Society. CMS Conf. Proc. 27, 235-243 (2000). MSC: 06B23 52A01 52A05 PDFBibTeX XMLCite \textit{J.-E. Martinez-Legaz} and \textit{I. Singer}, CMS Conf. Proc. 27, 235--243 (2000; Zbl 0964.06005)
Martínez-Legaz, Juan Enrique (ed.); Fradera, Isabel (ed.) Special issue: Code workshop on generalized convexity and monotonicity in economic modeling. Bellaterra (Barcelona), Spain, June 4–6, 1998. (English) Zbl 0957.00058 Optimization 47, No. 1-2, 250 p. (2000). MSC: 00B25 91-06 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} (ed.) and \textit{I. Fradera} (ed.), Optimization 47, No. 1--2, 250~p. (2000; Zbl 0957.00058)
Martínez-Legaz, Juan-Enrique; Singer, Ivan On \(\Phi\)-convexity of convex functions. (English) Zbl 0952.26009 Linear Algebra Appl. 278, No. 1-3, 163-181 (1998). Reviewer: Elzbieta Sadowska-Owczorz (Bielsko-Biala) MSC: 26B25 26B40 39B82 46A22 PDFBibTeX XMLCite \textit{J.-E. Martínez-Legaz} and \textit{I. Singer}, Linear Algebra Appl. 278, No. 1--3, 163--181 (1998; Zbl 0952.26009) Full Text: DOI
Flores-Bazán, Fabián; Martínez-Legaz, Juan-Enrique Simplified global optimality conditions in generalized conjugation theory. (English) Zbl 0933.49008 Crouzeix, Jean-Pierre (ed.) et al., Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 27, 305-329 (1998). Reviewer: A.Seeger (Avignon) MSC: 49J52 49J45 90C26 PDFBibTeX XMLCite \textit{F. Flores-Bazán} and \textit{J.-E. Martínez-Legaz}, Nonconvex Optim. Appl. 27, 305--329 (1998; Zbl 0933.49008)
Crouzeix, Jean-Pierre (ed.); Martinez-Legaz, Juan-Enrique (ed.); Volle, Michel (ed.) Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. (English) Zbl 0897.00032 Nonconvex Optimization and Its Applications. 27. Dordrecht: Kluwer Academic Publishers. xv, 467 p. (1998). MSC: 00B25 49-06 90-06 PDFBibTeX XMLCite \textit{J.-P. Crouzeix} (ed.) et al., Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17--21, 1996. Dordrecht: Kluwer Academic Publishers (1998; Zbl 0897.00032)
Martínez-Legaz, J.-E. Dual representation of cooperative games based on Fenchel-Moreau conjugation. (English) Zbl 0854.90148 Optimization 36, No. 4, 291-319 (1996). MSC: 91A12 90C25 26B25 49J52 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, Optimization 36, No. 4, 291--319 (1996; Zbl 0854.90148) Full Text: DOI
Boncompte, M.; Martínez-Legaz, J. E. Weak lower subdifferentiability in fractional programming. (English) Zbl 0854.90134 Int. Trans. Oper. Res. 1, No. 2, 265-270 (1994). MSC: 90C32 49J52 PDFBibTeX XMLCite \textit{M. Boncompte} and \textit{J. E. Martínez-Legaz}, Int. Trans. Oper. Res. 1, No. 2, 265--270 (1994; Zbl 0854.90134) Full Text: DOI
Marchi, Ezio; Martínez-Legaz, Juan-Enrique A generalization of Fan-Browder’s fixed point theorem and its applications. (English) Zbl 0801.54035 Topol. Methods Nonlinear Anal. 2, No. 2, 277-291 (1993). Reviewer: Zhang Shisheng (Chengdu) MSC: 54H25 47H10 PDFBibTeX XMLCite \textit{E. Marchi} and \textit{J.-E. Martínez-Legaz}, Topol. Methods Nonlinear Anal. 2, No. 2, 277--291 (1993; Zbl 0801.54035) Full Text: DOI
Martínez-Legaz, J. E.; Romano-Rodríguez, S. \(\alpha\)-lower subdifferentiable functions. (English) Zbl 0798.49016 SIAM J. Optim. 3, No. 4, 800-825 (1993). Reviewer: W.Schirotzek (Dresden) MSC: 49J52 26B25 90C48 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{S. Romano-Rodríguez}, SIAM J. Optim. 3, No. 4, 800--825 (1993; Zbl 0798.49016) Full Text: DOI
Martínez-Legaz, J. E.; Romano-Rodríguez, S. Lower subdifferentiability of quadratic functions. (English) Zbl 0781.90072 Math. Program. 60, No. 1 (A), 93-113 (1993). MSC: 90C20 49J52 26B25 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{S. Romano-Rodríguez}, Math. Program. 60, No. 1 (A), 93--113 (1993; Zbl 0781.90072) Full Text: DOI
Martínez-Legaz, Juan-Enrique; Singer, Ivan Multi-order convexity. (English) Zbl 0741.52001 Applied geometry and discrete mathematics, Festschr. 65th Birthday Victor Klee, DIMACS, Ser. Discret. Math. Theor. Comput. Sci. 4, 471-488 (1991). Reviewer: V.P.Soltan (Kishinev) MSC: 52A01 06A06 PDFBibTeX XMLCite \textit{J.-E. Martínez-Legaz} and \textit{I. Singer}, in: A dual forest algorithm for the assignment problem. . 471--488 (1991; Zbl 0741.52001)
Martínez-Legaz, J. E. Quasiconvex duality theory by generalized conjugation methods. (English) Zbl 0671.49015 Optimization 19, No. 5, 603-652 (1988). MSC: 49N15 26B25 90C30 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz}, Optimization 19, No. 5, 603--652 (1988; Zbl 0671.49015) Full Text: DOI
Martínez-Legaz, J. E. On lower subdifferentiable functions. (English) Zbl 0643.49015 Trends in mathematical optimization, 4th French-German Conf., Irsee/FRG 1986, ISNM 84, 197-232 (1988). Reviewer: J.E.Martínez-Legaz MSC: 49J52 49N15 90C30 26B25 26B35 49J45 49K15 93B99 90C25 PDFBibTeX XML
Martínez-Legaz, Juan-Enrique Level sets and the minimal time function of linear control processes. (English) Zbl 0586.49004 Numer. Funct. Anal. Optimization 9, 105-129 (1987). MSC: 49J45 26B25 93C05 49K15 54C08 PDFBibTeX XMLCite \textit{J.-E. Martínez-Legaz}, Numer. Funct. Anal. Optim. 9, 105--129 (1987; Zbl 0586.49004) Full Text: DOI
Martinez-Legaz, J.-E. A generalized concept of conjugation. (English) Zbl 0521.49014 Optimization, theory and algorithms, Conf. Confolant/France 1981, Lect. Notes Pure Appl. Math. 86, 45-59 (1983). MSC: 49N15 26B25 90C25 49J45 90C55 PDFBibTeX XML