IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3408-d1210900.html
   My bibliography  Save this article

A Class of Relational Functional Contractions with Applications to Nonlinear Integral Equations

Author

Listed:
  • Khursheed J. Ansari

    (Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia)

  • Salvatore Sessa

    (Department of Architecture, University of Naples Federico II, 80134 Naples, Italy)

  • Aftab Alam

    (Centre of Professional Courses, Aligarh Muslim University, Aligarh 202002, India)

Abstract

In this article, we investigate some fixed-point results under certain functional contractive mappings in a relation metric space. In the process, we utilize more general contraction condition which must be verified for comparative elements only. Our results enrich, modify, refine, unify and sharpen several existing fixed-point results. We construct some examples in support of our results. To attest to the applicability of our results, we establish the existence and uniqueness of theorems regarding the solutions of certain nonlinear integral equations.

Suggested Citation

  • Khursheed J. Ansari & Salvatore Sessa & Aftab Alam, 2023. "A Class of Relational Functional Contractions with Applications to Nonlinear Integral Equations," Mathematics, MDPI, vol. 11(15), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3408-:d:1210900
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3408/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/15/3408/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Asik Hossain & Aftab Alam & Salvatore Sessa & Qamrul Haque Khan, 2023. "Relation-Theoretic Weak Contractions and Applications," Mathematics, MDPI, vol. 11(9), pages 1-15, April.
    2. Ebrahem Ateatullah Algehyne & Musaad Sabih Aldhabani & Faizan Ahmad Khan, 2023. "Relational Contractions Involving (c)-Comparison Functions with Applications to Boundary Value Problems," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Doaa Filali & Mohammad Akram & Mohammad Dilshad, 2023. "An Extension of Strict Almost Contractions Employing Control Function and Binary Relation with Applications to Boundary Value Problems," Mathematics, MDPI, vol. 11(19), pages 1-11, September.

    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:gam:jmathe:v:11:y:2023:i:15:p:3408-:d:1210900. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.