Altering Distances and a Common Fixed Point Theorem in Menger Probabilistic Metric Spaces

被引：2

作者：

Jesic, Sinisa N. ^{[1
]}

Cirovic, Natasa A. ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Univ Belgrade, Fac Elect Engn, Bulevar Kralja Aleksandra 73, Beograd 11120, Serbia

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

来源：

FILOMAT | 2017年 / 31卷 / 02期

关键词：

Probabilistic Menger spaces; Common fixed point; Compatible mappings; Phi-function; COMMUTING MAPPINGS;

D O I：

10.2298/FIL1702175J

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 two compatible self-mappings satisfying nonlinear contractive type condition defined using a Phi-function. This result extends previous results due to B. S. Choudhury, K. Das, A new contraction principle in Menger spaces, Acta Mathematica Sinica 24 (2008) 1379-1386, and the result due to D. Mihet,, Altering distances in probabilistic Menger spaces, Nonlinear Analysis 71 (2009) 2734-2738.

引用

页码：175 / 181

页数：7

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