IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i22p4239-d971204.html
   My bibliography  Save this article

Fixed Point Theorems on Almost ( φ , θ )-Contractions in Jleli-Samet Generalized Metric Spaces

Author

Listed:
  • Doru Dumitrescu

    (Department of Mathematics and Informatics, University “Politehnica” of Bucharest, 060042 Bucharest, Romania
    These authors contributed equally to this work.)

  • Ariana Pitea

    (Department of Mathematics and Informatics, University “Politehnica” of Bucharest, 060042 Bucharest, Romania
    These authors contributed equally to this work.)

Abstract

In this paper, we present extensions of some classic results regarding the existence and uniqueness of fixed points of operators fulfilling generalized contractive conditions defined by sums involving some functions with suitable properties in the setting of Jleli–Samet generalized metric spaces. As a consequence, some known results in the literature are obtained. Examples are provided to prove the usability of our developments.

Suggested Citation

  • Doru Dumitrescu & Ariana Pitea, 2022. "Fixed Point Theorems on Almost ( φ , θ )-Contractions in Jleli-Samet Generalized Metric Spaces," Mathematics, MDPI, vol. 10(22), pages 1-23, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4239-:d:971204
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/22/4239/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/22/4239/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bessem Samet, 2013. "Some Results on Best Proximity Points," Journal of Optimization Theory and Applications, Springer, vol. 159(1), pages 281-291, October.
    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. Moosa Gabeleh, 2015. "Best Proximity Point Theorems via Proximal Non-self Mappings," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 565-576, February.

    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:10:y:2022:i:22:p:4239-:d:971204. 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.