Convergence theorems of the Ishikawa type iterative sequences with errors for generalized quasi-contractive mappings in convex metric spaces

被引：13

作者：

Chang, SS ^{[1
]}

Kim, JK

机构：

[1] Kyungnam Univ, Dept Math, Masan 631701, Kyungnam, South Korea

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

来源：

APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 04期

关键词：

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

D O I：

10.1016/S0893-9659(03)00033-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some convergence theorems of Ishikawa type iterative sequence with errors for nonlinear generalized quasi-contractive mapping in convex metric spaces are proved. The results presented in this paper not only extend and improve the main results in [1-8] but also give an affirmative answer to the open question of Rhoades-Naimpally-Singh in convex metric spaces. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：535 / 542

页数：8

共 14 条

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