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

Iqbal M. Batiha; Leila Ben Aoua; Taki Eddine Oussaeif; Adel Ouannas; Shamseddin Alshorman; Iqbal H. Jebril; Shaher Momani

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

Iqbal M. Batiha
, Leila Ben Aoua
, Taki Eddine Oussaeif
, Adel Ouannas
, Shamseddin Alshorman
, Iqbal H. Jebril
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Irbid National University
University of Oum El Bouaghi
Al-Zaytoonah University of Jordan

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

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.

Original language	English
Article number	IJAM_53_1_42
Journal	IAENG International Journal of Applied Mathematics
Volume	53
Issue number	1
State	Published - Mar 2023

Keywords

Existence
Fadeo-Galarkin method
Integral condition
Non-linear equations
Parabolic equation
Uniqueness
blow-up

Cite this

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

abstract = "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.",

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author = "Batiha, \{Iqbal M.\} and Aoua, \{Leila Ben\} and Oussaeif, \{Taki Eddine\} and Adel Ouannas and Shamseddin Alshorman and Jebril, \{Iqbal H.\} and Shaher Momani",

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AU - Batiha, Iqbal M.

AU - Aoua, Leila Ben

AU - Oussaeif, Taki Eddine

AU - Ouannas, Adel

AU - Alshorman, Shamseddin

AU - Jebril, Iqbal H.

AU - Momani, Shaher

PY - 2023/3

Y1 - 2023/3

N2 - 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.

AB - 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.

KW - Existence

KW - Fadeo-Galarkin method

KW - Integral condition

KW - Non-linear equations

KW - Parabolic equation

KW - Uniqueness

KW - blow-up

UR - https://www.scopus.com/pages/publications/85149663091

M3 - Article

AN - SCOPUS:85149663091

SN - 1992-9978

VL - 53

JO - IAENG International Journal of Applied Mathematics

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ER -

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

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Keywords

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