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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:376

Article

Enrique Martinez-Legaz, Juan¹  Vicente-Perez, Jose² 

[1] Univ Autonoma Barcelona, Dept Econ & Hist Econom, Bellaterra 08193, Spain

[2] Univ Alicante, Dept Estadist & Invest Operat, E-03080 Alicante, Spain

关键词: Evenly convex set;    Evenly convex function;    Support function;    Convex conjugation;   

DOI  :  10.1016/j.jmaa.2010.10.058

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free