IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i12p1433-d577988.html
   My bibliography  Save this article

A New Approach of Some Contractive Mappings on Metric Spaces

Author

Listed:
  • Ion Marian Olaru

    (Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, Dr. I. Raţiu Street, No. 5–7, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

  • Nicolae Adrian Secelean

    (Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, Dr. I. Raţiu Street, No. 5–7, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

Abstract

In this paper, we introduce a new contraction-type mapping and provide a fixed-point theorem which generalizes and improves some existing results in the literature. Thus, we prove that the Boyd and Wong theorem (1969) and, more recently, the fixed-point results due to Wardowski (2012), Turinici (2012), Piri and Kumam (2016), Secelean (2016), Proinov (2020), and others are consequences of our main result. An application in integral equations and some illustrative examples are indicated.

Suggested Citation

  • Ion Marian Olaru & Nicolae Adrian Secelean, 2021. "A New Approach of Some Contractive Mappings on Metric Spaces," Mathematics, MDPI, vol. 9(12), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1433-:d:577988
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/12/1433/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/12/1433/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Maher Berzig & Erdal Karapınar & Antonio-Francisco Roldán-López-de-Hierro, 2014. "Discussion on Generalized-( α ψ , β )-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, February.
    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. Asik Hossain & Aftab Alam & Salvatore Sessa & Qamrul Haque Khan, 2023. "Relation-Theoretic Weak Contractions and Applications," Mathematics, MDPI, vol. 11(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:9:y:2021:i:12:p:1433-:d:577988. 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.