Approximation of Common Solutions of Equilibrium And Fixed Point Problems For Certain Classes of Mappings

Abstract

We prove the strong convergence of a new hybrid algorithm to a common element of the set of xed points of two demicontractive mappings and the set of solutions of an equilibrium problem in Hilbert spaces. As a consequence, we obtain a hybrid algorithm for nding common elements of the set of xed points of two pseudononspreading mappings (or two strictly pseudocontractive mappings) and the set of solutions of an equilibrium problem.