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 

机构地区：[1]Fuzhou University Zhicheng College, Fuzhou University, Fuzhou 350002, Fujian, PR China [2]College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China

出　　处：《Annals of Applied Mathematics》2017年第1期18-31,共14页应用数学年刊（英文版）

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)

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.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.

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

分 类 号：O241.6[理学—计算数学]