A New Iterative Method for a Finite Family of the Split Generalized Equilibrium Problem and Fixed Point Problem

Kiattisak Rattanaseeha

Abstract

In this paper, we introduce  a new iterative method for finding a common element of the set of solutions of afinite family of split generalized equilibrium problems, finite variational inequality problems andthe set of common fixed points of a countable  family of nonexpansive mapping in Hilbert spaces.  Under appropriate conditions imposed on the parameters, the strong convergence theorems is obtained. An example is given to demonstrate the main result of this paper.