Common Fixed Points Within Framework of <i>F</i> ‐Modular <i>b</i> ‐Metric Space and Its Applications

This article investigates the existence and uniqueness of common fixed points for pairs of compatible maps within the framework of F ‐modular b ‐metric spaces (FMb‐metric spaces). To further substantiate the results, some examples, along with graphical representations are also given. Additionally, as an application of our findings, we discuss the existence and uniqueness of a common solution to a system of integral equations. MSC2010 Classification: 47H10, 54H25

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Publication Details

Journal
Abstract and Applied Analysis
Published
2025-01-01
DOI
https://doi.org/10.1155/aaa/8396427
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Common Fixed Points Within Framework of F ‐Modular b ‐Metric Space and Its Applications

Parveen Tyagi, Surjeet Singh Chauhan, Naveen Mani, Rahul Shukla
Abstract and Applied Analysis
Fixed Point Theorems Analysis
article

Common Fixed Points Within Framework of F ‐Modular b ‐Metric Space and Its Applications

Parveen Tyagi, Surjeet Singh Chauhan, Naveen Mani, Rahul Shukla
article en

Abstract

This article investigates the existence and uniqueness of common fixed points for pairs of compatible maps within the framework of F ‐modular b ‐metric spaces (FMb‐metric spaces). To further substantiate the results, some examples, along with graphical representations are also given. Additionally, as an application of our findings, we discuss the existence and uniqueness of a common solution to a system of integral equations. MSC2010 Classification: 47H10, 54H25

Abstract and Applied AnalysisVol. 2025(1)
Chandigarh University (IN), Walter Sisulu University (ZA)
Openalex Percentile: Top 80%
Fixed Point Theorems Analysis
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