IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i16p3583-d1220319.html
   My bibliography  Save this article

Czerwik Vector-Valued Metric Space with an Equivalence Relation and Extended Forms of Perov Fixed-Point Theorem

Author

Listed:
  • Monairah Alansari

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Yahya Almalki

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

  • Muhammad Usman Ali

    (Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Islamabad 45550, Pakistan)

Abstract

In this article, we shall generalize the idea of vector-valued metric space and Perov fixed-point theorem. We shall introduce the notion of Czerwik vector-valued R -metric space by involving an equivalence relation. A few basic concepts and properties related to Czerwik vector-valued R -metric space shall also be discussed that are required to obtain a few extended types of Perov fixed-point theorem.

Suggested Citation

  • Monairah Alansari & Yahya Almalki & Muhammad Usman Ali, 2023. "Czerwik Vector-Valued Metric Space with an Equivalence Relation and Extended Forms of Perov Fixed-Point Theorem," Mathematics, MDPI, vol. 11(16), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3583-:d:1220319
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/16/3583/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/16/3583/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Juan Martínez-Moreno & Dhananjay Gopal, 2021. "A Perov Version of Fuzzy Metric Spaces and Common Fixed Points for Compatible Mappings," Mathematics, MDPI, vol. 9(11), pages 1-14, June.
    2. Liliana Guran & Monica-Felicia Bota & Asim Naseem & Zoran D. Mitrović & Manuel de la Sen & Stojan Radenović, 2020. "On Some New Multivalued Results in the Metric Spaces of Perov’s Type," Mathematics, MDPI, vol. 8(3), pages 1-12, 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. Fahim Ud Din & Salha Alshaikey & Umar Ishtiaq & Muhammad Din & Salvatore Sessa, 2024. "Single and Multi-Valued Ordered-Theoretic Perov Fixed-Point Results for θ -Contraction with Application to Nonlinear System of Matrix Equations," Mathematics, MDPI, vol. 12(9), pages 1-15, April.

    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:16:p:3583-:d:1220319. 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.