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《应用数学和力学(英文版)》 2001-11
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ISHIKAWA ITERATIVE PROCESS IN UNIFORMLY SMOOTH BANACH SPACES

HUANG Zhen-yu (Department of Mathematics, Nanjing University, Nanjing 210093, P R China) (Communicated by DING Xie-ping)  
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 Φ-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.
【Fund】: theNationalNaturalScienceFoundationofChina ( 1 980 1 0 1 7)
【CateGory Index】: O177.91
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【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 XUE Zhiqun1,WANG Zhijun2,LI Xianghong1 (1.Department of Mathematics and Physics,Shijiazhuang Railway College,Hebei Shijiazhuang050043,China; 2.Department of Basic Courses,Hebei University of Economics and Trade,Hebei Shijiazhuang050061,China);Stability of Ishikawa Iteration Procedures for Non-Lipschitz Φ-strongly Pseudocontractive Operators[J];;2003-06
2 XUE Zhi-qun~1,WANG Zhi-ming~2(1.Department of Mathematics and Physics,Shijiazhuang Railway Institute,Hebei Shijiazhuang 050043,China;2.Dapartment of Basic Science,Tangshan College,Hebei Tangshan 063000,China);Stability Problem of Iteration Procedures for a Class Nonlinear Mapping[J];;2006-02
3 XU Yu-guang,ZHOU Xing-wei,WEN Yi-xin(Department of Mathematics,Kunming University,Yunnan Kunming 650031,China);On the Definitions of Ishikawa and Mann Iterative Processes with Errors[J];Journal of Kunming University;2008-04
4 LIU Xi-biao~1XU Yu-guang~2 (1. Department of Finance Yunnan University of Finance and Economics, Kunming 650221,China; 2.Department of Mathematics of Kunming Teachers College ,Kunming 650031,China);The existence and convergence of solution of Equation with quasi-accretive operator in a real normed linear space[J];Journal of Yunnan Normal University (Natural Sciences Edition);2004-04
5 DING Xie_ping ZHANG Hong_lin(Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China);ITERATIVE PROCESS TO -HEMICONTRACTIVE OPERATOR AND-STRONGLY ACCRETIVE OPERATOR EQUATIONS[J];应用数学和力学(英文版);2000-11
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