B-convex sets and functions
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.27, sa.3-4, ss.237-257, 2006 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 3-4
- Basım Tarihi: 2006
- Doi Numarası: 10.1080/01630560600698343
- Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.237-257
- Anahtar Kelimeler: abstract convexity, B-convexity, normal sets, order relation
- Akdeniz Üniversitesi Adresli: Evet
Özet
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.