Even convexity, subdifferentiability, and Γ-regularization in general topological vector spaces

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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

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