$\beta$-preconvex sets on preconvexity spaces
Commun. Korean Math. Soc. 2010 Vol. 25, No. 1, 105-110
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
Downloads: Full-text PDF  

Copyright © Korean Mathematical Society.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd