$\beta$-preconvex sets on preconvexity spaces
Commun. Korean Math. Soc. 2010 Vol. 25, No. 1, 105-110
https://doi.org/10.4134/CKMS.2010.25.1.105
Printed March 1, 2010
Won Keun Min
Kangwon National University
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
MSC numbers : Primary 52A01
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