IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i6p641-d519029.html
   My bibliography  Save this article

Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F -Contraction

Author

Listed:
  • Huaping Huang

    (School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China)

  • Biljana Carić

    (Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia)

  • Tatjana Došenović

    (Faculty of Technology Novi Sad, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia)

  • Dušan Rakić

    (Faculty of Technology Novi Sad, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia)

  • Mirjana Brdar

    (Faculty of Technology Novi Sad, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia)

Abstract

The purpose of this paper is to introduce a new type of contraction called fuzzy F -contraction. As compared to the F -contraction in the existing literature, our fuzzy F -contraction is much simpler and more straightforward, since it contains only one condition—that is, the function F is strictly increasing. Moreover, some fixed-point theorems for fuzzy F -contraction are presented. Further, some examples are given to illustrate its validity and superiority. In addition, by applying a very significant lemma, we show that our proofs of most fixed-point theorems are shorter and more elegant than ones in the literature.

Suggested Citation

  • Huaping Huang & Biljana Carić & Tatjana Došenović & Dušan Rakić & Mirjana Brdar, 2021. "Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F -Contraction," Mathematics, MDPI, vol. 9(6), pages 1-10, March.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:641-:d:519029
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/6/641/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/9/6/641/
    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:6:p:641-:d:519029. 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.