HYBRID ITERATION METHOD FOR GENERALIZED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

作     者：Jinliang Shen Jianhua Huang 

作者机构：Fuzhou University Zhicheng College Fuzhou University Fuzhou 350002 Fujian PR China College of Math. and Computer Science Fuzhou University Fuzhou 350116 Fujian PR China 

出 版 物：《Annals of Applied Mathematics》 (应用数学年刊（英文版）)

年 卷 期：2017年第33卷第1期

页      面：18-31页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by the Natural Science Foundation of Fujian Province(No.2014J01008) Young and Middle-aged Teachers Education Scientific Research Project of Fujian Province(No.JA15624) 

主　　题：generalized equilibrium problem a finite family of asymptoti-cally nonexpansive mapping hybrid iteration method inverse-strongly mono-tone mapping Hilbert space 

摘      要：In this papers 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.