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β-PRECONVEX SETS ON PRECONVEXITY SPACES

  • Min, Won-Keun (Department of Mathematics, Kangwon National University)
  • Published : 2010.01.31

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

References

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