IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i2p344-d1029810.html
   My bibliography  Save this article

Integral Equation via Fixed Point Theorems on a New Type of Convex Contraction in b -Metric and 2-Metric Spaces

Author

Listed:
  • Gunasekaran Nallaselli

    (Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai 603203, India)

  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai 603203, India)

  • Gunaseelan Mani

    (Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India)

  • Zoran D. Mitrović

    (Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina)

  • Ahmad Aloqaily

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia)

  • Nabil Mlaiki

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

Abstract

Our paper is devoted to describing a new way of generalized convex contraction of type-2 in the framework of b -metric spaces and 2-metric spaces. First, the concept of a new generalized convex contraction on b -metric spaces and 2-metric spaces is introduced, and fixed point theorem is extended to these spaces. Some examples supporting our main results are also presented. Finally, we apply our main result to approximating the solution of the Fredholm integral equation.

Suggested Citation

  • Gunasekaran Nallaselli & Arul Joseph Gnanaprakasam & Gunaseelan Mani & Zoran D. Mitrović & Ahmad Aloqaily & Nabil Mlaiki, 2023. "Integral Equation via Fixed Point Theorems on a New Type of Convex Contraction in b -Metric and 2-Metric Spaces," Mathematics, MDPI, vol. 11(2), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:344-:d:1029810
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/2/344/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/2/344/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Y. Mahendra Singh & Mohammad Saeed Khan & Shin Min Kang, 2018. "F -Convex Contraction via Admissible Mapping and Related Fixed Point Theorems with an Application," Mathematics, MDPI, vol. 6(6), pages 1-15, June.
    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.

      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:2:p:344-:d:1029810. 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.