Stronger convergence theorems for an infinite family of uniformly quasi-Lipschitzian mappings in convex metric spaces

被引：7

作者：

Chang, Shih-sen ^{[1
]}

Yang, Li ^{[2
]}

Wang, Xiong Rui ^{[1
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China

[2] SW Univ Sci & Technol, Dept Math, Mianyang 621010, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 01期

关键词：

Convex metric space; Ishikawa type iterative scheme with errors; Infinite family of uniformly quasi-Lipschitzian mapping; Asymptotically nonexpansive mapping; Asymptotically quasi-nonexpansive mapping; NONEXPANSIVE-MAPPINGS; ERRORS;

D O I：

10.1016/j.amc.2010.05.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the Ishikawa type iterative scheme to approximate a common fixed point of infinite families of uniformly quasi-Lipschitzian mappings and non-expansive mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved. The results presented in the paper generalize, improve and unify some recent results. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：277 / 282

页数：6

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