IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i10p1460-d1390673.html
   My bibliography  Save this article

Fixed Point Results for Compatible Mappings in Extended Parametric S b -Metric Spaces

Author

Listed:
  • Sunil Beniwal

    (Department of Mathematics, Chandigarh University, Mohali 140413, Punjab, India)

  • Naveen Mani

    (Department of Mathematics, Chandigarh University, Mohali 140413, Punjab, India)

  • Rahul Shukla

    (Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa)

  • Amit Sharma

    (Department of Mathematics, Amity University Haryana, Gurugram 122413, Haryana, India)

Abstract

This study aims to establish common fixed point theorems for a pair of compatible self-mappings within the framework of extended parametric S b -metric spaces. To support our assertions, we provide corollaries and examples accompanied with graphical representations. Moreover, we leverage our principal outcome to guarantee the existence of a common solution to a system of integral equations.

Suggested Citation

  • Sunil Beniwal & Naveen Mani & Rahul Shukla & Amit Sharma, 2024. "Fixed Point Results for Compatible Mappings in Extended Parametric S b -Metric Spaces," Mathematics, MDPI, vol. 12(10), pages 1-20, May.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1460-:d:1390673
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/10/1460/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/10/1460/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. N. Hussain & S. Khaleghizadeh & P. Salimi & Afrah A. N. Abdou, 2014. "A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-16, April.
    2. Nihal Taş & Nihal Yılmaz Özgür, 2016. "On Parametric -Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings," Journal of Mathematics, Hindawi, vol. 2016, pages 1-6, November.
    3. Naveen Mani & Amit Sharma & Rahul Shukla & Jozef Banas, 2023. "Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction," Abstract and Applied Analysis, Hindawi, vol. 2023, pages 1-6, January.
    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. Ozgur Ege & Manuel De la Sen, 2019. "A New Perspective on Parametric Metric Spaces," Mathematics, MDPI, vol. 7(11), pages 1-12, October.
    2. Raivis Bēts & Alexander Šostak, 2023. "Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations with Fuzzy Partial Metrics," Mathematics, MDPI, vol. 11(15), pages 1-11, July.
    3. Nihal Taş & Nihal Yılmaz Özgür, 2016. "On Parametric -Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings," Journal of Mathematics, Hindawi, vol. 2016, pages 1-6, November.
    4. Nesrin Manav Tatar & Ravi P. Agarwal, 2023. "Best Approximation of Fixed-Point Results for Branciari Contraction of Integral Type on Generalized Modular Metric Space," Mathematics, MDPI, vol. 11(21), pages 1-15, October.

    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:12:y:2024:i:10:p:1460-:d:1390673. 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.