Some Results for Split Equality Equilibrium Problems in Banach Spaces

Abstract

In this paper, a new algorithm for finding a common element of a split equality fixed point problem for nonexpansive mappings and split equality equilibrium problem in three Banach spaces is introduced. Also, some strong and weak convergence theorems for the proposed algorithm are proved. Finally, the main results obtained in this paper are applied to solve the split equality convex minimization problem.

Keywords

• split equality equilibrium problem
• split equality convex minimization problem
• nonexpansive mapping
• Banach space