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

Juan Enrique Martínez-Legaz, José Vicente-Pérez

Research output: Contribution to journalArticleResearchpeer-review

16 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 languageEnglish
Pages (from-to)602-612
JournalJournal of Mathematical Analysis and Applications
Volume376
DOIs
Publication statusPublished - 15 Apr 2011

Keywords

  • Convex conjugation
  • Evenly convex function
  • Evenly convex set
  • Support function

Fingerprint

Dive into the research topics of 'The e-support function of an e-convex set and conjugacy for e-convex functions'. Together they form a unique fingerprint.

Cite this