Weak and Strong Convergence for Fixed Points of Asymptotically Non-expansive Mappings

作     者：Ze Qing LIU Shin Min KANG 

作者机构：Department of MathematicsLiaoning Normal University Department of Mathematics and Research Institute of Natural ScienceGyeongsang National University 

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

年 卷 期：2004年第20卷第6期

页      面：1009-1018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 Korea Research Foundation Grant(KRF-2001-005-D00002) 

主　　题：Asymptotically non-expansive mapping Fixed point Modified three-step iterative sequence with errors Modified Ishikawa iterative sequence with errors Uniformly convex Banach space Opial’s condition Weak convergence Strong convergence 

摘      要：A few weak and strong convergence theorems of the modified three-step iterative sequence with errors and the modified Ishikawa iterative sequence with errors for asymptotically non-expansive mappings in any non-empty closed convex subsets of uniformly convex Banach spaces are established. The results presented in this paper substantially extend the results due to Chang (2001), Osilike and Aniagbosor (2000), Rhoades (1994) and Schu (1991).