Common Fixed Points Theorems for Self-Mappings in Menger PM-Spaces

被引：3

作者：

Nikolic, Rale M. ^{[1
]}

Pant, Rajandra P. ^{[2
]}

Ristic, Vladimir T. ^{[3
]}

Sebekovic, Aleksandar ^{[4
]}

机构：

[1] Univ Def, Mil Acad, Dept Nat Sci & Math, Pavia Jurisica Sturma 33, Belgrade 11105, Serbia

[2] Dalhausie Villa Compound, Mallital 263001, Nainital, India

[3] Univ Kragujevac, Fac Educ, Milana Mijalkovica 14, Jagodina 35000, Serbia

[4] State Univ Novi Pazar, Novi Pazar 36300, Serbia

来源：

MATHEMATICS | 2022年 / 10卷 / 14期

关键词：

probabilistic metric spaces; common fixed point; R-weakly commuting mappings; nonlinear contractive condition; COMMUTING MAPPINGS;

D O I：

10.3390/math10142449

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to prove that orbital continuity for a pair of self-mappings is a necessary and sufficient condition for the existence and uniqueness of a common fixed point for these mappings defined on Menger PM-spaces with a nonlinear contractive condition. The main results are obtained using the notion of R-weakly commutativity of type A(f) (or type A(g)). These results generalize some known results.

引用

页数：11

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