A common fixed point theorem for R-weakly commuting mappings in probabilistic spaces with nonlinear contractive conditions

被引：12

作者：

Jesic, Sinisa N. ^{[1
]}

O'Regan, Donal ^{[2
]}

Babacev, Natasa A. ^{[1
]}

机构：

[1] Univ Belgrade, Fac Elect Engn, Dept Math, Belgrade 11120, Serbia

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 201卷 / 1-2期

关键词：

probabilistic metric spaces; common fixed point; R-weakly commuting mappings; nonlinear contractive conditions;

D O I：

10.1016/j.amc.2007.12.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a common fixed point theorem for a family of R-weakly commuting mappings satisfying nonlinear type contractive conditions. This result improves and unifies previous results due to O'Regan and Saadati [ D. O'Regan, R. Saadati, Nonlinear contraction theorems in probabilistic spaces, Appl. Math. Comput. 195 ( 2008) 86 - 93]. Also, the following results will be probabilistic versions and improvements of the results given in [ D. W. Boyd, J. S. W. Wong, On nonlinear contractions, Proc. Am. Math. Soc. 20 ( 1969) 458 - 464; G. Jungck, Commuting maps and fixed points, Am. Math. Month. 83 ( 1976) 261 - 263; R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 ( 1994) 436 - 440] and many other. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：272 / 281

页数：10

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