AN ITERATIVE METHOD FOR EQUILIBRIUM PROBLEMS AND QUASI-VARIATIONAL INCLUSION PROBLEMS

Abstract

In this paper, we introduce a hybrid iterative scheme for finding a common element of the set of solutions for an equilibrium problems, the set of common fixed point for a family of infinite nonexpansive mappings and the set of solutions of the variational inclusion problem with multi-valued maximal monotone mappings and inverse-strongly monotone mappings in Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend the recent results in Takahashi and Toyoda [19], Takahashi and Takahashi [18], Chang, Lee and Chan [8, 9].