Strong Convergence of an Iteration Method for Mixed Equilibrium Problems and Common Fixed Point Problems of a Finite Family of Nonexpansive Mappings in Hilbert Spaces

In this paper, An iterative scheme is introduced for finding a common element of the set of solutions of mixed equilibrium problems and the set of common fixed points of a finite family of nonexpansive mappings in Hilbert spaces. It is shown that the iteration scheme converges strongly to a common fixed point of a finite family of nonexpansive mappings, which is a solution of a mixed equibruium problem. The results presented in this paper improve and extend the recent corresponding results.