UAB Digital Repository of Documents 44 records found  1 - 10nextend  jump to record: Search took 0.00 seconds. 
1.
On Bregman-type distances for convex functions and maximally monotone operators / Burachik, Regina S. (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)
Given two point to set operators, one of which is maximally monotone, we introduce a new distance in their graphs. This new concept reduces to the classical Bregman distance when both operators are the gradient of a convex function. [...]
2018 - 10.1007/s11228-017-0443-6
Set-Valued and Variational Analysis, Vol. 26, Núm. 2 (2018) , p. 369-384  
2.
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#citeas
Journal of Optimization Theory and Applications, Vol. 176, Núm. 3 (2018) , p. 527-540  
3.
11 p, 351.0 KB Weakly Motzkin Predecomposable Sets / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d’Economia i d’Història Econòmica) ; Todorov, M. I. (Universidad de las Américas)
We introduce and study the class of weakly Motzkin predecomposable sets, which are those sets in ℝ n that can be expressed as the Minkowski sum of a bounded convex set and a convex cone, none of them being necessarily closed. [...]
2017 - 10.1007/s11228-017-0420-0
Set-Valued and Variational Analysis, Vol. 25, Núm. 3 (September 2017) , p.507-516  
4.
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  
5.
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  
6.
6 p, 90.4 KB Estadística I [102386] / Vilà Carnicero, Xavier ; Martínez Legaz, Juan Enrique ; Díaz Sanchís, Mireia ; Universitat Autònoma de Barcelona. Facultat d'Economia i Empresa
L'objectiu de l'assignatura és que l'estudiant comprengui i sigui capaç d'utilitzar les eines d'anàlisi de dades i probabilístiques que són necessàries per abordar l'estudi de la inferència estadística. [...]
The aim of this course is that students understand and are able to use data analysis and the basic probabilistic tools that are necessary to address the study of statistical inference. In this sense, the subject is clearly linked, in terms of its immediate application, to the course Statistics II. [...]
El objetivo de la asignatura es que el estudiante comprenda y sea capaz de utilizar las herramientas de análisis de datos y probabilísticas que son necesarias para abordar el estudio de la inferencia estadística. [...]

2018-19
1407 [1407]
1416 [1416]
3 documents
7.
5 p, 356.9 KB Convergence in a sequential two stages decision making process / Martínez Legaz, Juan Enrique (Universitat Autònoma de‎ ‎Barcelona. Departament‎ ‎d'Economia i d'Història Econòmica‎) ; Soubeyran, A. (Aix-Marseille University. Aix-Marseille School of Economics)
We analyze a sequential decision making process, in which at each step the decision is made in two stages. In the first stage a partially optimal action is chosen, which allows the decision maker to learn how to improve it under the new environment. [...]
2016
Bulletin of the Iranian Mathematical Society, Vol. 42, Núm. 7 (December 2016) , p. 25-29  
8.
10 p, 1022.6 KB Some conditions for maximal monotonicity of bifunctions / Hadjisavvas, Nicolas (King Fahd University of Petroleum and Minerals) ; Jacinto, Flavia M.O. (Universidade Federal do Amazonas) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d’Economia i d’Història Econòmica)
We present necessary and sufficient conditions for a monotone bifunction to be maximally monotone, based on a recent characterization of maximally monotone operators. These conditions state the existence of solutions to equilibrium problems obtained by perturbing the defining bifunction in a suitable way.
2016 - 10.1007/s11228-015-0343-6
Set-Valued and Variational Analysis, Vol. 24, Núm. 2 (June 2016) , p. 323-332  
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)  
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  

UAB Digital Repository of Documents : 44 records found   1 - 10nextend  jump to record:
See also: similar author names
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