IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i14p3249-d1201400.html
   My bibliography  Save this article

Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces

Author

Listed:
  • Afrah Ahmad Noman Abdou

    (Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia)

Abstract

The purpose of this research work is to explore the solution of the Fredholm integral equation by common fixed point results in bicomplex valued metric spaces. In this way, we develop some common fixed point theorems for generalized contractions containing point-dependent control functions in the context of bicomplex valued metric spaces. An illustrative and practical example is also given to show the novelty of the most important result.

Suggested Citation

  • Afrah Ahmad Noman Abdou, 2023. "Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces," Mathematics, MDPI, vol. 11(14), pages 1-21, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3249-:d:1201400
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/14/3249/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/14/3249/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Amer Hassan Albargi & Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application," Mathematics, MDPI, vol. 11(5), pages 1-20, March.
    2. Humaira & Muhammad Sarwar & G. N. V. Kishore, 2018. "Fuzzy Fixed Point Results For Contractive Mapping with Applications," Complexity, Hindawi, vol. 2018, pages 1-12, January.
    3. Jamshaid Ahmad & Chakkrid Klin-Eam & Akbar Azam, 2013. "Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, December.
    4. Chakkrid Klin-eam & Cholatis Suanoom, 2013. "Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, April.
    5. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam & Nawab Hussain, 2014. "On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, May.
    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. Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    2. Amer Hassan Albargi & Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application," Mathematics, MDPI, vol. 11(5), pages 1-20, March.
    3. Humaira & Muhammad Sarwar & G. N. V. Kishore, 2018. "Fuzzy Fixed Point Results For Contractive Mapping with Applications," Complexity, Hindawi, vol. 2018, pages 1-12, January.
    4. Amiri, Pari & Afshari, Hojjat, 2022. "Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    5. Amiri, Pari & Samei, Mohammad Esmael, 2022. "Existence of Urysohn and Atangana–Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    6. Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Application of Fixed Point Result in Complex Valued Extended b -Metric Space," Mathematics, MDPI, vol. 11(24), pages 1-20, December.
    7. Badriah Alamri, 2024. "Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications," Mathematics, MDPI, vol. 12(11), pages 1-20, June.

    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:14:p:3249-:d:1201400. 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.