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.
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页码：535 / 542
页数：8
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