Common Solution Of A Finite Family Of Equilibrium Problems, Fixed Point, And Variational Inclusion Problems

The purpose of this paper is to introduce an iterative method for finding a common element of solutions of a finite family of equilibrium problems, the set solutions of variational inclusion problems, and the set of fixed points of a nonexpansive mapping in Hilbert space. We prove a convergence theorem for the purposed iterative method. The results presented in this paper extend and improve some well-known results in the literature. Index Terms—Equilibrium Problem, Fixed Point Problem, Nonexpansive Mapping, Variational Inclusion Problem.