CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

数学物理学报

CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

谷峰

杭州师范学院应用数学所, 杭州 310036

收稿日期:2005-08-15 修回日期:1900-01-01 出版日期:2006-12-25 发布日期:2006-12-25
通讯作者: 谷峰
基金资助:
The present studies were supported by the Natural Science Foundation of Zhejiang Province (Y605191), the Natural Science Foundation of Heilongjiang Province (A0211), the Key Teacher Creating Capacity Fund of Heilongjiang
General College (1053G015), the Scientific Research Foundation from Zhejiang Province Education Committee (20051897) and the Starting Foundation of Scientific Research from Hangzhou Teacher's College.

CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

Gu Feng

Institute of Applied Mathematics, Hangzhou Teacher's College, Hangzhou, Zhejiang 310036, China

Received:2005-08-15 Revised:1900-01-01 Online:2006-12-25 Published:2006-12-25
Contact: Gu Feng

摘要/Abstract

摘要： The purpose of this article is to study the weak and strong convergence of implicit iteration process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this article extend and improve thecorresponding results of [1, 2, 4-9, 11-15].

关键词: Asymptotically nonexpansive mapping, Nonexpansive mapping, Implicit iterative sequence with errors for a finite family, Common fixed point, Opial condition, Demi-closed principle, Semi-compactness

Abstract: The purpose of this article is to study the weak and strong convergence of implicit iteration process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this article extend and improve thecorresponding results of [1, 2, 4-9, 11-15].

Key words: Asymptotically nonexpansive mapping, Nonexpansive mapping, Implicit iterative sequence with errors for a finite family, Common fixed point, Opial condition, Demi-closed principle, Semi-compactness

中图分类号:

47H05

谷峰. CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS[J]. 数学物理学报, 2006, 26(6): 1131-.

Gu Feng. CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS[J]. Acta mathematica scientia,Series A, 2006, 26(6): 1131-.

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CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

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