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

Juan Enrique Martínez-Legaz, José Vicente-Pérez

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Resum

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.
Idioma originalEnglish
Pàgines (de-a)602-612
RevistaJournal of Mathematical Analysis and Applications
Volum376
DOIs
Estat de la publicacióPublicada - 15 d’abr. 2011

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