CONVERGENT PROBLEM OF ITERATIVE SEQUENCES FOR NONLINEAR MAPPINGS WITH ERROR MEMBERS IN BANACH SPACES  

作　　者：SunZhaohong NiYongqin HeChang 

机构地区：[2]YuxiNormalCollege,Yunnan653100,China [3]YuxiNormalCollege,Yunnan653100,China [4]DaliCollege,Yunnan671000,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2004年第1期81-89,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Science Foundation of Yunnan Province(2 0 0 2 A0 0 58M)

摘　　要：In this paper,the approximation problems of Ishikawa iteration with errors of fixed points for asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings in arbitrary real Banach spaces are investigated.Some necessary condition and sufficient condition for the convergence of iterative sequences are given respectively.The results thus extend and improve some recent corresponding results.In this paper,the approximation problems of Ishikawa iteration with errors of fixed points for asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings in arbitrary real Banach spaces are investigated.Some necessary condition and sufficient condition for the convergence of iterative sequences are given respectively.The results thus extend and improve some recent corresponding results.

关 键 词：asymptotically nonexpansive mapping asymptotically pseudocontractive mapping modified Ishikawa iterative sequence with errors arbitrary Banach space fixed point. 

分 类 号：O177.91[理学—数学]