A GENERAL ITERATIVE ALGORITHM FOR EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS IN A HILBERT SPACE
Tanakit Thianwan · Asian-European Journal of Mathematics · 2010
In this paper, we introduce a general iterative algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of a finite family of nonexpansive mappings and the set of solutions of the variational inequality for a relaxed cocoercive mapping in a Hilbert space. Then, we prove that the iterative sequence converges strongly to a common element of the three sets. The results obtained in this paper extend and improve the several recent results in this area.