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
收藏
页码：4747 / 4760
页数：14
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