Even convexity, subdifferentiability, and Γ-regularization in general topological vector spaces
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10045/53845
Title: | Even convexity, subdifferentiability, and Γ-regularization in general topological vector spaces |
---|---|
Authors: | Vicente-Pérez, José | Volle, Michel |
Research Group/s: | Laboratorio de Optimización (LOPT) |
Center, Department or Service: | Universidad de Alicante. Departamento de Métodos Cuantitativos y Teoría Económica |
Keywords: | Evenly convex hull | Subdifferential | Strict epigraph | Γ-regularization |
Knowledge Area: | Fundamentos del Análisis Económico |
Issue Date: | 15-Sep-2015 |
Publisher: | Elsevier |
Citation: | Journal of Mathematical Analysis and Applications. 2015, 429(2): 956-968. doi:10.1016/j.jmaa.2015.04.051 |
Abstract: | In this paper we provide new results on even convexity and extend some others to the framework of general topological vector spaces. We first present a characterization of the even convexity of an extended real-valued function at a point. We then establish the links between even convexity and subdifferentiability and the Γ-regularization of a given function. Consequently, we derive a sufficient condition for strong duality fulfillment in convex optimization problems. |
Sponsor: | MICINN of Spain, Grant MTM2011-29064-C03-02. |
URI: | http://hdl.handle.net/10045/53845 |
ISSN: | 0022-247X (Print) | 1096-0813 (Online) |
DOI: | 10.1016/j.jmaa.2015.04.051 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © 2015 Elsevier Inc. |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1016/j.jmaa.2015.04.051 |
Appears in Collections: | INV - LOPT - Artículos de Revistas INV - DMCTE - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
![]() | Versión final (acceso restringido) | 370,11 kB | Adobe PDF | Open Request a copy |
![]() | Accepted Manuscript (acceso abierto) | 287,07 kB | Adobe PDF | Open Preview |
Items in RUA are protected by copyright, with all rights reserved, unless otherwise indicated.