Nonlinear contraction theorems in probabilistic spaces

被引：61

作者：

O'Regan, Donal ^{[4
]}

Saadati, Reza ^{[1
,2
,3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Aiatollah Amoly Branch, Amol 678, Iran

[2] Univ Shomal, Fac Sci, Amol 731, Iran

[3] Amirkabir Univ Technol, Dept Math, Tehran, Iran

[4] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 195卷 / 01期

关键词：

probabilistic metric spaces; completeness; nonlinear contraction; fixed point theorem;

D O I：

10.1016/j.amc.2007.04.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper first we prove a common fixed point theorem in Menger probabilistic metric spaces. Then we present a nonlinear contraction case of Jungck's common fixed point theorem in Menger probabilistic metric spaces. Finally, we prove a common fixed point theorem for six self-maps in a Menger probabilistic metric space. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：86 / 93

页数：8

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