Abstract:

In this paper, we definite the p-perfectly convex set and absolutely p-perfectly convex set, and study the relationship among p-convex set, p-perfectly convex set and absolutely p-perfectly convex set in the Banach space. Some properties of p-perfectly convex set and absolutely p-perfectly convex set are given (0

Key words: p-convex set; p-perfectly convex set; absolutely p-perfectly convex set; Banach space