Strong Convergence Theorems For Equilibrium Problems And Fixed Points Of Asymptotically Nonexpansive Maps

Abstract

Zhenhua He and Wei-Shih Du, Fixed Point Theory and Applications 2011, 2011:33 introduced a new method of finding a common element in the intersection of the set of solutions of a finite family of equilibrium problems and the set of fixed points of a nonexpansive mapping in real Hilbert spaces. In this paper we modify the algorithm of He and Du and prove strong convergence results for finding a common element in the intersection of the set of solutions of a finite family of equilibrium problems and the set of fixed points of an asymptotically nonexpansive mapping in real Hilbert spaces.