IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/1066931.html

Fixed Point Results for Coupled Large Kannan Contraction Using W-Distance and Its Application to Integral Equations

Author

Listed:
  • Priyam Chakraborty
  • Binayak S. Choudhury
  • Amaresh Kundu
  • Santosh Kumar

Abstract

In the present paper, we employ the notion of w-distance to prove a large Kannan-type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty-type control function, we derive fixed point results in metric spaces with and without partial order. The control function utilized is a combination of two simultaneous contractive conditions integrated with the w-distance. Some corollaries of the main theorems are presented. To validate our findings, we provide an illustrative example and also an application to the solution of a system of coupled integral equations.

Suggested Citation

  • Priyam Chakraborty & Binayak S. Choudhury & Amaresh Kundu & Santosh Kumar, 2026. "Fixed Point Results for Coupled Large Kannan Contraction Using W-Distance and Its Application to Integral Equations," Journal of Mathematics, Hindawi, vol. 2026, pages 1-12, February.
    • Handle: RePEc:hin:jjmath:1066931
    DOI: 10.1155/jom/1066931
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2026/1066931.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2026/1066931.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/1066931?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:1066931. 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.