Common fixed point theorems of compatible and weakly compatible maps in Menger spaces

被引：61

作者：

Fang, Jin-Xuan ^{[1
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Menger space; Common fixed points; Compatible maps; Weakly compatible maps;

D O I：

10.1016/j.na.2009.01.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some new common fixed point theorems for compatible and weakly compatible self-maps on Menger space under phi-contractive conditions. Our results improve and generalize the results of Singh and Jain [B. Singh, S.Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301 (2005) 439-448], Razani and Shirdaryazdi [A. Razani, M. Shirdaryazdi, A common fixed point theorem of compatible maps in Menger space, Chaos Solitons Fractals 32 (2007) 26-34] and others. (C) 2009 Published by Elsevier Ltd

引用

页码：1833 / 1843

页数：11

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