Hybrid Iteration Method for Generalized Equilibrium Problems and Fixed Point Problems of a Finite Family of Asymptotically Nonexpansive Mappings
Year: 2017
Author: Jinliang Shen, Jianhua Huang
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 18–31
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20592
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 18–31
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: generalized equilibrium problem a finite family of asymptotically nonexpansive mapping hybrid iteration method inverse-strongly monotone mapping Hilbert space.