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

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Title: Common Fixed Points Within Framework of F‐Modular b‐Metric Space and Its Applications.
Authors: Tyagi, Parveen1 (AUTHOR), Chauhan, Surjeet Singh1 (AUTHOR), Mani, Naveen1 (AUTHOR), Shukla, Rahul2 (AUTHOR) rshukla@wsu.ac.za, Wong, Patricia J. Y. (AUTHOR) ejywong@ntu.edu.sg
Source: Abstract & Applied Analysis. 6/23/2025, Vol. 2025, p1-12. 12p.
Subjects: Integral equations, Generalized integrals, Classification
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 FROM AUTHOR]
Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: 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 FROM AUTHOR]
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  Data: <i>Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1155/aaa/8396427
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      – Code: eng
        Text: English
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        PageCount: 12
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        Type: general
      – SubjectFull: Generalized integrals
        Type: general
      – SubjectFull: Classification
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      – TitleFull: Common Fixed Points Within Framework of F‐Modular b‐Metric Space and Its Applications.
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              M: 06
              Text: 6/23/2025
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              Y: 2025
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