Strong Convergence for a Countable Family of Total Quasi-φ-asymptotically Nonexpansive Nonself Mappings in Banach Space

作     者：WANG XIONG-RUI QUAN JING Ji You-qing 

作者机构：Institute of Mathematics Yibin University 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2015年第31卷第1期

页      面：31-39页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Scientific Research Fund(2011JYZ010)of Science Technology Department of Sichuan Province Scientific Research Fund(11ZA172 and 12ZB345)of Sichuan Provincial Education Department 

主　　题：strong convergence total quasi-Ф-asymptoticaily nonexpansive nonself generalized projection 

摘      要：The purpose of this article is to introduce a class of total quasi-Ф- asymptotically nonexpansive nonself mappings. Strong convergence theorems for common fixed points of a countable family of total quasi-Ф-asymptotically nonexpan- sive mappings are established in the framework of Banach spaces based on modified Halpern and Mann-type iteration algorithm. The main results presented in this article extend and improve the corresponding results of many authors.