Applications of the KKM property to coincidence theorems, equilibrium problems, minimax inequalities and variational relation problems

Abstract

The aim of this talk is twofold: firstly, to establish a Fan type geometric result and to apply it in order to obtain some coincidence-like theorems for the case when the images of the correspondences are not convex. Further, new theorems concerning the existence of solutions for equilibrium problems are provided. Our goal is also to investigate whether the class of minimax inequalities can be extended.