IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i4p584-d345372.html
   My bibliography  Save this article

Fixed Point Theorems for Generalized ( αβ - ψ )-Contractions in F -Metric Spaces with Applications

Author

Listed:
  • Saleh Abdullah Al-Mezel

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

  • Jamshaid Ahmad

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

  • Giuseppe Marino

    (Department of Mathematics and Computer Science, University of Calabria, Via P. Bucci, 87036 Arcavacata di Rende (CS), Italy)

Abstract

The purpose of this paper is to define generalized ( α β - ψ ) -contraction in the context of F -metric space and obtain some new fixed point results. As applications, we solve a nonlinear neutral differential equation with an unbounded delay ϑ / ( ι ) = − ρ 1 ( ι ) ϑ ( ι ) + ρ 2 ( ι ) L ( ϑ ( ι − ς ( ι ) ) ) + ρ 3 ( ι ) ϑ / ( ι − ς ( ι ) ) , where ρ 1 ( ι ) , ρ 2 ( ι ) are continuous, ρ 3 ( ι ) is continuously differentiable and ς ( ι ) > 0 , for all ι ∈ R and is twice continuously differentiable.

Suggested Citation

  • Saleh Abdullah Al-Mezel & Jamshaid Ahmad & Giuseppe Marino, 2020. "Fixed Point Theorems for Generalized ( αβ - ψ )-Contractions in F -Metric Spaces with Applications," Mathematics, MDPI, vol. 8(4), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:584-:d:345372
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/4/584/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/4/584/
    Download Restriction: no
    ---><---

    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:8:y:2020:i:4:p:584-:d:345372. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.