On Evenly Convex Sets and Functions

Please use this identifier to cite or link to this item: http://hdl.handle.net/10045/51708
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Title: On Evenly Convex Sets and Functions
Authors: Rodríguez Álvarez, Margarita | Vicente-Pérez, José
Research Group/s: Laboratorio de Optimización (LOPT)
Center, Department or Service: Universidad de Alicante. Departamento de Matemáticas | Universidad de Alicante. Departamento de Métodos Cuantitativos y Teoría Económica
Keywords: Closed convex sets | Evenly convex sets | Lower semicontinuous convex functions | Evenly convex functions
Knowledge Area: Estadística e Investigación Operativa | Fundamentos del Análisis Económico
Issue Date: Nov-2014
Publisher: Sociedad de Estadística e Investigación Operativa
Citation: Boletín de Estadística e Investigación Operativa. 2014, 30(3): 261-274
Abstract: A subset of R^n is said to be evenly convex (e-convex, in breaf) if it is the intersection of some family (possibly empty) of open halfspaces. In this paper, we collect some published results which show that this large class of convex sets enjoys a lot of the well-known properties of the subclass of closed convex sets. We also consider functions whose epigraphs are e-convex sets, the so-called e-convex functions, and we show the main properties of this class of convex functions that contains the important class of lower semicontinuous convex functions.
Sponsor: Esta publicación se ha realizado con el apoyo financiero del Ministerio de Economía y Competitividad, a través del proyecto MTM2011-29064-C03-02.
URI: http://hdl.handle.net/10045/51708
ISSN: 1889-3805 | 2387-1725 (Internet)
Language: eng
Type: info:eu-repo/semantics/article
Rights: © Sociedad de Estadística e Investigación Operativa
Peer Review: si
Publisher version: http://www.seio.es/BEIO/On-Evenly-Convex-Sets-and-Functions.html
Appears in Collections:INV - LOPT - Artículos de Revistas
INV - DMCTE - Artículos de Revistas

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