IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/5896053.html
   My bibliography  Save this article

On Weak Compatible Mappings, 3-D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application

Author

Listed:
  • Saif Ur Rehman
  • Muhammad Sohail
  • Tayyab Mahmood
  • Hamza Ali Abujabal
  • Taoufik Moulahi
  • Muhammad Imran Haider

Abstract

The purpose of this work is to investigate the approach to 3-D column graphs in multiplicative generalized metric spaces (MGM-spaces) utilizing single-valued mappings with an application. In MGM-space, we use weakly compatible four self-mappings to prove common fixed point (CFP) results without requiring their continuity. To support our findings, we provide nontrivial illustrative examples of CFP in MGM-spaces. In addition, we create 3-D column graphs to validate the contraction conditions of four self-mappings in MGM-spaces. Furthermore, we apply the nonlinear integral equation (NIE) to determine the existence of a unique common solution to unify our CFP results in the said domain. Our hypothesis will be critical to the theory of fixed points. Our findings can be expanded and improved in various ways by employing multiple sorts of mappings in MGM-spaces with applications.

Suggested Citation

  • Saif Ur Rehman & Muhammad Sohail & Tayyab Mahmood & Hamza Ali Abujabal & Taoufik Moulahi & Muhammad Imran Haider, 2025. "On Weak Compatible Mappings, 3-D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application," Journal of Mathematics, Hindawi, vol. 2025, pages 1-23, September.
  • Handle: RePEc:hin:jjmath:5896053
    DOI: 10.1155/jom/5896053
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2025/5896053.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/jmath/2025/5896053.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/jom/5896053?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jjmath:5896053. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.