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Dipòsit Digital de Documents de la UAB 17 registres trobats  1 - 10següent  anar al registre: La cerca s'ha fet en 0.01 segons. 
1.
11 p, 254.6 KB On Bregman-type distances and their associated projection mappings / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Tamadoni Jahromi, Maryam (Department of Mathematics. Yasouj University) ; Naraghirad, Eskandar (Yasouj University. Department of Mathematics)
We investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances.
2022 - 10.1007/s10957-021-01970-4
Journal of optimization theory and applications, Vol. 193, núm. 1-3 (June 2022) , p. 107-117  
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2.
15 p, 353.1 KB Optimality conditions for convex problems on intersections of non necessarily convex sets / Allevi, E. (Università degli Studi di Brescia. Dipartimento di Economia e Management) ; Riccardi, R. (Università degli Studi di Brescia. Dipartimento di Economia e Management) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex intersections of non necessarily convex sets. To this aim, we use the notion of local normal cone to a closed set at a point, due to Linh and Penot (SIAM J Optim 17:500-510, 2006). [...]
2020 - 10.1007/s10898-019-00849-z
Journal of global optimization, Vol. 77 (2020) , p. 143-155  
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3.
29 p, 554.8 KB On the structure of higher order Voronoi cells / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona) ; Roshchina, Vera (University of New South Wales (Australia)) ; Todorov, Maxim (Universidad de las Américas Puebla)
The classic Voronoi cells can be generalized to a higher order version by considering the cells of points for which a given k-element subset of the set of sites consists of the k closest sites. We study the structure of the k-order Voronoi cells and illustrate our theoretical findings with a case study of two-dimensional higher order Voronoi cells for four points.
2019 - 10.1007/s10957-019-01555-2
Journal of optimization theory and applications, Vol. 183 (2019) , p. 24-49  
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4.
10 p, 138.9 KB A subdifferential characterization of Motzkin decomposable functions / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona) ; Thibault, L. (Université de Montpellier)
The paper provides a new subdifferential characterization for Motzkin decomposable (convex) functions. This characterization leads to diverse stability properties for such a decomposability for operations like addition and composition.
2019 - 10.1080/02331934.2017.1339705
Optimization, Vol. 68, Núm. 7 (2019) , p. 1279-1287  
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5.
17 p, 476.7 KB A quasiconvex asymptotic function with applications in optimization / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona) ; Hadjisavvas, Nicolas (University of the Aegean) ; Lara, Felipe (Universidad de Tarapacá)
We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establish several properties and calculus rules for this concept and compare it to previous notions of generalized asymptotic functions. [...]
2018 - 10.1007/s10957-018-1317-2
Journal of optimization theory and applications, Vol. 180, Núm. 1 (January 2019) , p. 170-186  
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6.
21 p, 1.1 MB A general nonconvex multiduality principle / Bonenti, Francesca (Open Capital Partners SGR) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Riccardi, Rossana (Università degli Studi di Brescia. Dipartimento di Economia e Management)
We introduce a (possibly infinite) collection of mutually dual nonconvex optimization problems, which share a common optimal value, and give a characterization of their global optimal solutions. As immediate consequences of our general multiduality principle, we obtain Toland-Singer duality theorem as well as an analogous result involving generalized perspective functions. [...]
2018 - 10.1007/s10957-018-1245-1
Journal of optimization theory and applications, Vol. 176, Núm. 3 (2018) , p. 527-540  
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7.
9 p, 291.8 KB A generalization of the strong Fitzpatrick inequality / Elias, Leonardo M. (Universidade Federal do Paraná) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
We present a generalization of the strong Fitzpatrick inequality in the context of reflexive Banach spaces, involving a twisted bigger conjugate function. We also introduce a related family of gap functions for maximal monotone inclusion problems.
2017 - 10.1080/02331934.2016.1179738
Optimization, Vol. 6, Num. 6 (2017) , p.917-923  
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8.
9 p, 328.3 KB Differentiability v.s. convexity for complementarity functions / Huang, Chien-Hao (National Taiwan Normal University. Department of Mathematics) ; Chen, Jein-Shan (National Taiwan Normal University. Department of Mathematics) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
It is known that complementarity functions play an important role in dealing with complementarity problems. The most well known complementarity problem is the symmetric cone complementarity problem (SCCP) which includes nonlinear complementarity problem (NCP), semidefinite complementarity problem (SDCP), and second-order cone complementarity problem (SOCCP) as special cases. [...]
2017 - 10.1007/s11590-015-0993-1
Optimization Letters, Vol. 11, Num. 1 (2017) , p. 209-216  
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9.
15 p, 334.0 KB A simplified conjugation scheme for lower semi-continuous functions / Elias, Leonardo M. (Universidade Federal do Paraná. Programa de Pós-Graduação em Matemática) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
We present two generalized conjugation schemes for lower semi-continuous functions defined on a real Banach space whose norm is Fréchet differentiable off the origin, and sketch their applications to optimization duality theory. [...]
2016 - 10.1080/02331934.2015.1080700
Optimization, Vol. 65, Núm. 4 (2016)  
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10.
8 p, 278.6 KB Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex sets defined by non necessarily convex functions, in terms of tangential subdifferentials. [...]
2015 - 10.1007/s11590-014-0822-y
Optimization Letters, Vol. 9, Núm. 5 (June 2015) , p. 1017-1023  
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Dipòsit Digital de Documents de la UAB : 17 registres trobats   1 - 10següent  anar al registre:
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