[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2010.25.1.105

β-PRECONVEX SETS ON PRECONVEXITY SPACES

Min, Won-Keun (Department of Mathematics, Kangwon National University)

Publication Information

Communications of the Korean Mathematical Society / v.25, no.1, 2010 , pp. 105-110 More about this Journal

Abstract

In this paper, we introduce the concept of $\beta$ -preconvex sets on preconvexity spaces. We study some properties for $\beta$ -preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of ${\beta}c$ -convex function and $\beta^*c$ -convex function.

Keywords

preconvexity; co-convex sets; convexity; $\beta^*c$ -convex function; ${\beta}c$ -convex function; $co\beta$ -preconvex sets; $\beta$ -preconvex sets;

Citations & Related Records

Times Cited By KSCI : 3 (Citation Analysis)
Times Cited By SCOPUS : 0

Reference
Cited By KSCI

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