Coincidence theorems and minimax inequalities in abstract convex spaces

Abstract

In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky Fan's type minimax inequality. Mathematics Subject Classification (2000): 26A51; 26B25; 54H25; 55M20; 47H10; 54A05.