FOUNDATIONS OF THE KKM THEORY ON GENERALIZED CONVEX-SPACES

Recently, we introduced a new concept of a generalized convex space. I n this paper, from a coincidence theorem, we deduce far-reaching gener alizations of the KKM theorem, the matching theorem, a whole intersect ion property, an analytic alternative, the Ky Fan minimax inequality, geometric or section properties, and others on generalized convex spac es. (C) 1997 Academic Press.