ORBITAL CONTINUITY AND COMMON FIXED POINTS IN MENGER PM-SPACES

被引：0

作者：

Nikolic, Rale M. ^{[1
]}

Ristic, Vladimir T. ^{[2
]}

Fijuljanin, Jasmina ^{[1
]}

Sebekovic, Aleksandar ^{[3
]}

机构：

[1] Univ Def, Mil Acad, Dept Nat Sci & Math, Belgrade, Serbia

[2] Univ Kragujevac, Fac Educ, Kragujevac, Serbia

[3] State Univ Novi Pazar, Novi Pazar, Serbia

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 07期

关键词：

Orbital continuity; probabilistic metric spaces; common fixed point; nonlinear contractive condition; COMMUTING MAPPINGS;

D O I：

10.46793/KgJMat2307.1011N

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that if a pair of semi R-commuting self-mappings defined on Menger PM-spaces with a nonlinear contractive condition posses a unique common fixed point, then these mappings are orbitally continuous. Also, we investigate whether this assertion and it converse holds if we replace semi R-commutativity with some other concept of commutativity in the weaker sense.

引用

页码：1011 / 1019

页数：9

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