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.
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页数：11
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