THE GENERIC STABILITY OF KKM POINTS IN PMT SPACES

摘要

In this paper, we consider the generic stability of generalized KKM points and present a result concerning the generic continuity of set-valued mappings in PMT spaces. Then we prove that almost all of generalized KKM points of probabilistic upper semicontinuous set-valued mappings defined on compact subsets of such spaces are stable in the sense of Baire category theory. Also, we discuss on existence of the essential component of generalized KKM points.