Iterative Algorithm for a Split Equilibrium Problem and Fixed Problem for Finite Asymptotically Nonexpansive Mappings in Hilbert Space

Abstract

In this paper, we propose an iterative algorithm for finding the common element of solution set  of   a  split equilibrium problem   and   common  fixed point set of  a finite family of  asymptotically nonexpansive mappings  in Hilbert space.   The strong convergence of this algorithm is proved.