Variational Relations in Abstract Convex Spaces

Abstract

Luc [1] initiated the study of variational relations, which is a unifying approach to various models of equilibrium theory and variational inclusions. There, a simple condition was established for the existence of solutions of variational relations and was applied to a number of variational problems. In the present article, certain results in [1] are generalized by reflecting recent development of the KKM theory on abstract convex spaces.