Some new results of common fixed point theorem in non-archimedean intuitionistic menger spaces

Iqbal H. Jebril; Benoua Leila; Oussaeif Taki-Eddine; Jamal Oudetallah; Iqbal M. Batiha; Suhaila Saidat

doi:10.1063/5.0295067

Some new results of common fixed point theorem in non-archimedean intuitionistic menger spaces

Iqbal H. Jebril
, Benoua Leila
, Oussaeif Taki-Eddine
, Jamal Oudetallah
, Iqbal M. Batiha
, Suhaila Saidat

Nonlinear Dynamic Research Centre (NDRC)

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

Research output: Contribution to journal › Conference article › peer-review

Abstract

For Weakly Compatible Mappings (WCMs) within Non-Archimedean Intuitionistic Menger Spaces (NAIMSs), this study intends to establish novel results related to Common Fixed Point Theorems (CFPTs), utilizing the Common Limit Range Property (CLRP). To illustrate the validity of these findings, we provide several examples. Furthermore, by applying the concept of pairwise commuting, we expand the core result of this study to four self-mappings finite families. Additionally, we offer an implementation to show off the reasonable relevance of the main theorem.

Original language	English
Article number	040013
Journal	AIP Conference Proceedings
Volume	3338
Issue number	1
DOIs	https://doi.org/10.1063/5.0295067
State	Published - 16 Dec 2025
Event	2nd Joint International Conference on Mathematics, Statistics, and Engineering, J-CoMSE 2024 - Kuala Terengganu, Malaysia Duration: 17 Sep 2025 → 18 Sep 2025

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title = "Some new results of common fixed point theorem in non-archimedean intuitionistic menger spaces",

abstract = "For Weakly Compatible Mappings (WCMs) within Non-Archimedean Intuitionistic Menger Spaces (NAIMSs), this study intends to establish novel results related to Common Fixed Point Theorems (CFPTs), utilizing the Common Limit Range Property (CLRP). To illustrate the validity of these findings, we provide several examples. Furthermore, by applying the concept of pairwise commuting, we expand the core result of this study to four self-mappings finite families. Additionally, we offer an implementation to show off the reasonable relevance of the main theorem.",

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AU - Jebril, Iqbal H.

AU - Leila, Benoua

AU - Taki-Eddine, Oussaeif

AU - Oudetallah, Jamal

AU - Batiha, Iqbal M.

AU - Saidat, Suhaila

PY - 2025/12/16

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N2 - For Weakly Compatible Mappings (WCMs) within Non-Archimedean Intuitionistic Menger Spaces (NAIMSs), this study intends to establish novel results related to Common Fixed Point Theorems (CFPTs), utilizing the Common Limit Range Property (CLRP). To illustrate the validity of these findings, we provide several examples. Furthermore, by applying the concept of pairwise commuting, we expand the core result of this study to four self-mappings finite families. Additionally, we offer an implementation to show off the reasonable relevance of the main theorem.

AB - For Weakly Compatible Mappings (WCMs) within Non-Archimedean Intuitionistic Menger Spaces (NAIMSs), this study intends to establish novel results related to Common Fixed Point Theorems (CFPTs), utilizing the Common Limit Range Property (CLRP). To illustrate the validity of these findings, we provide several examples. Furthermore, by applying the concept of pairwise commuting, we expand the core result of this study to four self-mappings finite families. Additionally, we offer an implementation to show off the reasonable relevance of the main theorem.

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DO - 10.1063/5.0295067

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JO - AIP Conference Proceedings

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T2 - 2nd Joint International Conference on Mathematics, Statistics, and Engineering, J-CoMSE 2024

Y2 - 17 September 2025 through 18 September 2025

ER -

Some new results of common fixed point theorem in non-archimedean intuitionistic menger spaces

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