IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i2p118-d476179.html
   My bibliography  Save this article

On Some New Contractive Conditions in Complete Metric Spaces

Author

Listed:
  • Jelena Vujaković

    (Department of Mathematics, Faculty of Sciences, University of Priština-Kosovska Mitrovica, Lole Ribara 29, 38 200 Kosovska Mitrovica, Serbia)

  • Eugen Ljajko

    (Department of Mathematics, Faculty of Sciences, University of Priština-Kosovska Mitrovica, Lole Ribara 29, 38 200 Kosovska Mitrovica, Serbia)

  • Mirjana Pavlović

    (Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34 000 Kragujevac, Serbia)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia)

Abstract

One of the main goals of this paper is to obtain new contractive conditions using the method of a strictly increasing mapping F : ( 0 , + ∞ ) → ( − ∞ , + ∞ ) . According to the recently obtained results, this was possible (Wardowski’s method) only if two more properties ( F 2 ) and ( F 3 ) were used instead of the aforementioned strictly increasing ( F 1 ) . Using only the fact that the function F is strictly increasing, we came to new families of contractive conditions that have not been found in the existing literature so far. Assuming that α ( u , v ) = 1 for every u and v from metric space Ξ , we obtain some contractive conditions that can be found in the research of Rhoades (Trans. Amer. Math. Soc. 1977, 222) and Collaco and Silva (Nonlinear Anal. TMA 1997). Results of the paper significantly improve, complement, unify, generalize and enrich several results known in the current literature. In addition, we give examples with results in line with the ones we obtained.

Suggested Citation

  • Jelena Vujaković & Eugen Ljajko & Mirjana Pavlović & Stojan Radenović, 2021. "On Some New Contractive Conditions in Complete Metric Spaces," Mathematics, MDPI, vol. 9(2), pages 1-10, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:2:p:118-:d:476179
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/2/118/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/2/118/
    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:9:y:2021:i:2:p:118-:d:476179. 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.