Separation of B-1-Convex Sets by B-1-Measurable Maps

TINAZTEPE G., Yesilce I., ADİLOV G.

JOURNAL OF CONVEX ANALYSIS, cilt.21, sa.2, ss.571-580, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2014
  • Dergi Adı: JOURNAL OF CONVEX ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.571-580
  • Anahtar Kelimeler: B-convexity, B-1-convexity, half spaces, gauges, co-gauges, separation, B-1-measurable maps, B-CONVEXITY
  • Akdeniz Üniversitesi Adresli: Evet

Özet

A subset A of R-++(n) is B-1-convex if for all x(1), x(2) epsilon A and all t >= 1 one has tx(1) Lambda x(2) epsilon A. These sets were first investigated in [2, 3, 7]. In this paper, we establish separation and Hahn-Banach like Theorem for B-1-convex sets.