Depósito Digital de Documentos de la UAB Encontrados 5 registros  La búsqueda tardó 0.02 segundos. 
1.
10 p, 249.7 KB A mean value theorem for tangentially convex functions / Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
The main result is an equality type mean value theorem for tangentially convex functions in terms of tangential subdifferentials, which generalizes the classical one for differentiable functions, as well as Wegge theorem for convex functions. [...]
2023 - 10.1007/s11228-023-00674-3
Set-Valued and Variational Analysis, 2023  
2.
19 p, 403.2 KB On Bregman-type distances for convex functions and maximally monotone operators / 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)
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  
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.
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  
5.
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  

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