The e-support function of an e-convex set and conjugacy for e-convex functions

Juan Enrique Martínez-Legaz; José Vicente-Pérez

doi:https://doi.org/10.1016/j.jmaa.2010.10.058

The e-support function of an e-convex set and conjugacy for e-convex functions

Juan Enrique Martínez-Legaz, José Vicente-Pérez

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

14 Citations (Scopus)

Abstract

A subset of a locally convex space is called e-convex if it is the intersection of a family of open halfspaces. An extended real-valued function on such a space is called e-convex if its epigraph is e-convex. In this paper we introduce a suitable support function for e-convex sets as well as a conjugation scheme for e-convex functions. © 2010 Elsevier Inc.

Original language	English
Pages (from-to)	602-612
Journal	Journal of Mathematical Analysis and Applications
Volume	376
DOIs	https://doi.org/10.1016/j.jmaa.2010.10.058
Publication status	Published - 15 Apr 2011

Keywords

Convex conjugation
Evenly convex function
Evenly convex set
Support function

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KW - Convex conjugation

KW - Evenly convex function

KW - Evenly convex set

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