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 

机构地区：[1]Institute of Mathematics, Yibin University

出　　处：《Communications in Mathematical Research》2015年第1期31-39,共9页数学研究通讯（英文版）

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

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.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.

关 键 词：strong convergence total quasi-Ф-asymptoticaily nonexpansive nonself generalized projection 

分 类 号：O177.2[理学—数学] O189.2[理学—基础数学]