IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/9270607.html

Geraghty–𠔽-Contraction Type Darbo Fixed-Point Theorems With an Application

Author

Listed:
  • Samira Hadi Bonab
  • Hasan Hosseinzadeh
  • Reza Alayi
  • Zoran Mitrovic
  • Shahla Hosseini

Abstract

In this study, Darbo’s fixed-point theorem is extended by employing Geraghty–𠔽-contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C0,ς, equipped with the Hausdorff measure of noncompactness. To support and validate the main theorems presented, several illustrative examples are provided, highlighting the applicability and effectiveness of the theoretical findings. Moreover, for enhanced clarity and better comprehension, the examples are accompanied by figures and graphical representations, offering a visual demonstration of the practical relevance of the results.

Suggested Citation

  • Samira Hadi Bonab & Hasan Hosseinzadeh & Reza Alayi & Zoran Mitrovic & Shahla Hosseini, 2026. "Geraghty–𠔽-Contraction Type Darbo Fixed-Point Theorems With an Application," Journal of Mathematics, Hindawi, vol. 2026, pages 1-17, February.
    • Handle: RePEc:hin:jjmath:9270607
    DOI: 10.1155/jom/9270607
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2026/9270607.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2026/9270607.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/9270607?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:9270607. 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.