β-PRECONVEX SETS ON PRECONVEXITY SPACES

Won-Keun Min
2010 Communications of the Korean Mathematical Society  
In this paper, we introduce the concept of β-preconvex sets on preconvexity spaces. We study some properties for β-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of βc-convex function and β * c-convex function.
doi:10.4134/ckms.2010.25.1.105 fatcat:cgwrumv6ajc7npkcpkmkynqxxi