Common Fixed Point Theorem in Non-Archimedean Menger PM-Spaces Using CLR Property with Application to Functional Equations

In this paper, we prove the common fixed point theorems for weakly compatible mappings in non-Archimedean Menger PM-spaces, that use the common limit range property. In addition, we give some examples of these results. Then we will extend our main result to four finite families of self-mappings by t...

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Bibliographic Details
Published in:IAENG international journal of applied mathematics 2023-03, Vol.53 (1), p.1-9
Main Authors: Batiha, Iqbal M, Aoua, Leila Ben, Oussaeif, Taki-Eddine, Ouannas, Adel, Alshorman, Shamseddin, Jebril, Iqbal H, Momani, Shaher
Format: Article
Language:English
Subjects:
Applied mathematics
Fixed points (mathematics)
Functional equations
Theorems
Online Access:Get full text
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Summary:In this paper, we prove the common fixed point theorems for weakly compatible mappings in non-Archimedean Menger PM-spaces, that use the common limit range property. In addition, we give some examples of these results. Then we will extend our main result to four finite families of self-mappings by the notion of pairwise commuting. Finally, we will give applications for our main theorem.
ISSN:1992-9978
1992-9986