KKM PROPERTY VIA ABSTRACT CONVEXITY

Motivated by the definition of ∆- convex sets and their properties, we introduce the notions of abstract convex hull operation and M-convex sets which extend some other forms of convexity. Some well known results, such as coincidenc theorems for the classes MKKM and s-MKKM of multymaps and Ky fans minimax inequality are considered via these new settings.

Keywords:

Abstract convexity , coincidense point , minimax theorem