A KKM PRINCIPLE AND EPSILON-FIXED POINT THEOREMS IN EPSILON-HYPERCONVEX METRIC SPACES

Abstract

In the present paper, we first give a property of epsilon-hyperconvex metric spaces and apply it to establish KKM principle in epsilon-hyperconvex metric spaces, and then, as applications, some epsilon-fixed point theorems for lower semicontinuous multivalued mappings in epsilon-hyperconvex metric spaces are obtained.