Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces

被引：27

作者：

Fukhar-ud-din, H. ^{[1
,2
]}

Khan, A. R. ^{[1
]}

Akhtar, Z. ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 13期

关键词：

Averaging Krasnosel'skii iterations; Convex metric space; Fixed point; Generalized nonexpansive map; Strong convergence; THEOREMS; APPROXIMATION; CONVERGENCE; MAPPINGS;

D O I：

10.1016/j.na.2012.03.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of a unique fixed point of a map satisfying a very general contractive condition on a suitable subset of a uniformly convex metric space is proved. This fixed point is approximated by averaging Krasnosel'skii iterations of a generalized nonexpansive map. Our results substantially improve and extend several known results existing in the literature. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：4747 / 4760

页数：14

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