B-convex sets and functions

Adilov G., Rubinov A. M.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.27, sa.3-4, ss.237-257, 2006 (SCI-Expanded) identifier identifier

  • 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.