A hybrid method for mixed equilibrium problems and fixed points problems
Zhang Li-juan, Haixiao Song · 2009
In this paper, we introduce a iterative scheme by a hybrid iterative method for finding a common element of the set of solutions of a mixed equilibrium problem and the set of common fixed points of finitely many nonexpansive mappings in a Hilbert space. We prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality which is the optimality condition for the minimization.The results extended and improved the corresponding results of L.C. Ceng, J.C. Yao and others.