An Iterative Process for a Finite Family of Pseudocontractive Mappings

作     者：Yi Sheng SONGCollege of Mathematics and Information Science,He ’nan Normal University,Xinxiang 453007,P. R. China 

作者机构：College of Mathematics and Information Science He’nan Normal University Xinxiang P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期：2009年第25卷第2期

页      面：293-298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：supported by the Chinese National Youth Tianyuan Foundation (10726073) 

主　　题：Pseudocontractive mappings strong and weak convergence implicit iteration process common fixed points 

摘      要：The purpose of this paper is to study the following implicit iteration scheme recentlyintroduced by Xu and Ori [Numer. Funct. Anal. Optim., 22, (2001) 767-773]:x= αx+ (1 -α)Tx, n≥1,and to prove several strongly and weakly convergent theorems of the iteration for a finite family ofpseudocontractive mappings under condition α∈ (0, b] (?) (0,1).