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p-PRECONVEX SETS ON PRECONVEXITY SPACES

Min, Won-Keun

  • Received : 2008.04.24
  • Accepted : 2008.07.17
  • Published : 2008.09.25

Abstract

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

Keywords

p-proconvex sets;cop-proconvex sets;pc-convex function;$p^*c$-convex function;pI-convex function;$p^*I$-convex function

References

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