Common Fixed Point Theorems and Attractive Point Theorems with the Split Equilibrium Problem in Banach Spaces

Abstract

This main results of this dissertation is divided into two parts. In the rst part, we introduce and study some algorithms for nding a common element of the solution set of the split equilibrium problem and a common xed points set of nonlinear mappings in Banach spaces. For the second part, we prove a basic property of the set of attractive points in Banach spaces. Moreover, we introduce and study some algorithms for nding a common element of the solution set of the split equilibrium problem and a set of attractive point of nonlinear mappings in Banach spaces.