Coincidence and fixed point theorems for functions in <inline-formula><graphic file="1687-1812-2006-72184-i1.gif"/></inline-formula>-KKM class on generalized convex spaces

Abstract

We establish a coincidence theorem in -KKM class by means of the basic defining property for multifunctions in -KKM. Based on this coincidence theorem, we deduce some useful corollaries and investigate the fixed point problem on uniform spaces.