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 | |
Publication status | Published - 15 Apr 2011 |
Keywords
- Convex conjugation
- Evenly convex function
- Evenly convex set
- Support function