An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces

Abstract

In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive semigroups in Hilbert Spaces. We prove that the approximate solution converges strongly to a solution of variational inequalities under some appropriate conditions imposed on the parameter. The results of this paper extend and improve the results of Wang-keeree [12] and many others.