Convergence of Ishikawa type iterative sequence with errors for quasi-contractive mappings in convex metric spaces

被引：0

作者：

Tian, YX ^{[1
]}

Zhang, SS

机构：

[1] Chongqing Univ Posts & Telecommun, Inst Comp Sci & Technol, Chongqing 400065, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2002年 / 23卷 / 09期

基金：

中国国家自然科学基金;

关键词：

convex metric space; fixed point; generalized Ishikawa (Mann) iterative sequence with errors; general quasi-contractive mapping;

D O I：

10.1007/bf02437710

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some convergence theorems of Ishikawa type iterative sequence with errors for nonlinear general quasi-contractive mapping in convex metric spaces are proved. The results not only extend and improve the corresponding results of L. B. Ciric, Q. H. Liu, H. E. Rhoades and H. K. Xu, et al., but also give an affirmative answer to the open question of Rhoades-Naimpally- Singh in convex metric spaces.

引用

页码：1001 / 1008

页数：8

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