ISHIKAWA ITERATIVE PROCESS IN UNIFORMLY SMOOTH BANACH SPACES  

作　　者：HUANG Zhen-yu(黄震宇) 

机构地区：[1]Department of Mathematics, Nanjing University, Nanjing 210093, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第11期1306-1310,共5页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 1 980 1 0 1 7)

摘　　要：Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T: K --> K is a continuous Phi-strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process {x(n)} converges strongly to the unique fixed point x* of the operator T were proved. The paper generalizes and extends a lot of recent corresponding results.Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T: K --> K is a continuous Phi-strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process {x(n)} converges strongly to the unique fixed point x* of the operator T were proved. The paper generalizes and extends a lot of recent corresponding results.

关 键 词：Ishikawa iterative process Phi-stongly pseudocontractive operators uniformly smooth Banach spaces 

分 类 号：O177.91[理学—数学]