Fixed Point Theorems for Condensing Maps in S-KKM Class

This paper presents some new fixed point results for condensing multimaps in s-KKM class in the setting of locally G-convex uniform spaces. We mainly show that every l.s.c., closed and generalized condensing selfmultimap with s-KKM property on a complete locally G-convex uniform space has a fixed point. Some applications to quasi-equilibrium problem of these fixed point results are also given.