Hybrid Iteration Method for Generalized Equilibrium Problems and Fixed Point Problems of a Finite Family of Asymptotically Nonexpansive Mappings
Keywords:
generalized equilibrium problem, a finite family of asymptotically nonexpansive mapping, hybrid iteration method, inverse-strongly monotone mapping, Hilbert space.Abstract
In this paper, weak and strong convergence theorems are established by hybrid iteration method for generalized equilibrium problem and fixed point problems of a finite family of asymptotically nonexpansive mappings in Hilbert spaces. The results presented in this paper partly extend and improve the corresponding results of the previous papers.