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

• 作者: Jianhua Huang Jinliang Shen
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 年，卷（期）: 2017,（1）
• 页码范围: 18-31
• 页数: 14页
• 分类号: O1

摘要

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.