ON GENERALIZATIONS OF THE CONCEPT OF CONVEXITY

Authors : G. ADİLOV, İ. YESİLCE

Pages : 723-730

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Publication Date : 2012-05-01

Article Type : Research Paper

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