ON GENERALIZATIONS OF THE CONCEPT OF CONVEXITY

Year 2012, Volume: 41 Issue: 5, 723 - 730, 01.05.2012

G. Adilov İ. Yesilce

https://izlik.org/JA94LF82XZ

Abstract

ON GENERALIZATIONS OF THE CONCEPT OF CONVEXITY

https://izlik.org/JA94LF82XZ

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.

Keywords

Abstract convexity , B-convexity , B−1 -convexity

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