ON GENERALIZATIONS OF THE CONCEPT OF CONVEXITY

ADİLOV G., Yesilce I.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.41, no.5, pp.723-730, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 5
  • Publication Date: 2012
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.723-730
  • Keywords: Abstract convexity, B-convexity, B-1-convexity
  • Akdeniz University Affiliated: Yes

Abstract

In this article, the concept of convexity is considered. Generalizations of this concept, that were examined by different authors, are briefly given. In this paper, a study of two forms of abstract convexity is undertaken: one of which is B-convexity which was defined and analyzed by W. Briec and C. Horvath, the other being B-1-convexity which is introduced and examined by us.