B-convex sets and functions
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, vol.27, no.3-4, pp.237-257, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 27 Issue: 3-4
- Publication Date: 2006
- Doi Number: 10.1080/01630560600698343
- Journal Name: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.237-257
- Keywords: abstract convexity, B-convexity, normal sets, order relation
- Akdeniz University Affiliated: Yes
Abstract
A subset B of R-+(n) is B-convex if for all x, y is an element of B and all t is an element of [0, 1] one has max (tx, y) is an element of B. These sets were first investigated in [1, 2]. In this paper, we examine radiant B-convex sets and also introduce and study B-convex functions.