Articles

Articles 28 registres trobats  inicianterior17 - 26següent  anar al registre: La cerca s'ha fet en 0.00 segons. 
17.
14 p, 440.0 KB The contribution of K.-H. Elster to generalized conjugation theory and nonconvex duality / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
This article surveys the main contributions of K. -H. Elster to the theory of generalized conjugate functions and its applications to duality in nonconvex optimization.
2015 - 10.1080/02331934.2014.929683
Optimization, Vol. 64, Núm. 1 (2015) , p. 87-96  
18.
24 p, 473.9 KB An additive subfamily of enlargements of a maximally monotone operator / Burachik, Regina (University of South Australia. School of Information Technology and Mathematical Sciences) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Rezaie, M. (University of Isfahan) ; Théra, M. (Université de Limoges. Laboratoire XLIM)
We introduce a subfamily of additive enlargements of a maximally monotone operator. Our definition is inspired by the early work of Simon Fitzpatrick. These enlargements constitute a subfamily of the family of enlargements introduced by Svaiter. [...]
2015 - 10.1007/s11228-015-0340-9
Set-Valued and Variational Analysis, Vol. 23, Núm. 4 (December 2015) , p. 643-665 2015  
19.
9 p, 292.0 KB On the existence of a saddle value / Bonenti, F. (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)
In this work, we achieve a complete characterization of the existence of a saddle value, for bifunctions which are convex, proper, and lower semi continuous in their first argument, by considering new suitably defined notions of special directions of recession. [...]
2015 - 10.1007/s10957-014-0665-9
Journal of optimization theory and applications, Vol. 165, Núm. 3 (2015) , P. 785-792  
20.
16 p, 444.8 KB γ-Active constraints in convex semi-infinite programming / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Todorov, Maxim Ivanov (Universidad de las Américas) ; Zetina, Carlos Armando (Universidad de las Américas)
In this article, we extend the definition of γ-active constraints for linear semi-infinite programming to a definition applicable to convex semi-infinite programming, by two approaches. The first approach entails the use of the subdifferentials of the convex constraints at a point, while the second approach is based on the linearization of the convex inequality system by means of the convex conjugates of the defining functions. [...]
2014 - 10.1080/01630563.2014.895745
Numerical Functional Analysis and Optimization, Vol. 35, Núm. 7-9 (2014) , p. 1078-1094  
21.
11 p, 405.9 KB Integration of Fenchel subdifferentials revisited / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of ε-subdifferentials.
2014 - 10.1007/s10013-014-0101-3
Vietnam Journal of Mathematics, Vol. 42, Núm. 4 (2014) , p. 533-542  
22.
5 p, 137.7 KB On Weierstrass extreme value theorem / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
2014 - 10.1007/s11590-012-0587-0
Optimization letters, Vol. 8, Núm. 1, (2014) , p. 391-394  
23.
15 p, 319.5 KB Motzkin predecomposable sets / Iusem, N. (Instituto de Matemática Pura e Aplicada (Rio de Janeiro, Brasil)) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Todorov, Maxim Ivanov (Universidad de las Américas. Departmento de Actuaría y Matemáticas)
We introduce and study the family of sets in a finite dimensional Euclidean space which can be written as the Minkowski sum of a compact and convex set and a convex cone (not necessarily closed). We establish several properties of the class of such sets, called Motzkin predecomposable, some of which hold also for the class of Motzkin decomposable sets (i. [...]
2014 - 10.1007/s10898-013-0097-3
Journal of Global Optimization, Vol. 60, Núm. 4 (2014) , pp. 635-647  
24.
33 p, 301.9 KB Some criteria for maximal abstract monotonicity / Mohebi, Hossein (Shahid Bahonar University of Kerman. Department of Mathematics) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Rocco, Marco (University of Bergamo. Department of Mathematics, Statistics, Computer Science and Applications)
In this paper, we develop a theory of monotone operators in the framework of abstract convexity. First, we provide a surjectivity result for a broad class of abstract monotone operators. Then, by using an additivity constraint qualification, we prove a generalization of Fenchel's duality theorem in the framework of abstract convexity and give some criteria for maximal abstract monotonicity. [...]
2012 - 10.1007/s10898-011-9671-8
Journal of Global Optimization, Vol. 53, Núm. 2, pp. 137-163 (2012)  
25.
12 p, 209.1 KB A convex representation of totally balanced games / Bilbao, Jesús Mario (Universidad de Sevilla) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
We analyze the least increment function, a convex function of n variables associated to an n-person cooperative game. Another convex representation of cooperative games, the indirect function, has previously been studied. [...]
2012 - 10.1016/j.jmaa.2011.10.026
Journal of mathematical analysis and applications, Volume 387, Issue 2, (2012) , p. 1167-1175  
26.
13 p, 241.3 KB On the infimum of a quasiconvex vector function over an intersection / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Martinón Cejas, Antonio (Universidad de La Laguna. Departamento de Análisis Matemático)
We give sufficient conditions for the infimum of a quasiconvex vector function f over an intersection ⋂i∈IRi to agree with the supremum of the infima of f over the Ri's.
2012 - 10.1007/s11750-011-0222-8
TOP, Vol. 20, Núm. 2 (2012) , p.503-516  

Articles : 28 registres trobats   inicianterior17 - 26següent  anar al registre:
Us interessa rebre alertes sobre nous resultats d'aquesta cerca?
Definiu una alerta personal via correu electrònic o subscribiu-vos al canal RSS.