IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i11p261-d183680.html
   My bibliography  Save this article

Common Fixed Points for Mappings under Contractive Conditions of ( α , β , ψ )-Admissibility Type

Author

Listed:
  • Wasfi Shatanawi

    (Department of Mathematics and general courses Prince Sultan University, Riyadh 11586, Saudi Arabia
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

In this paper, we introduce the notion of ( α , β , ψ ) -contraction for a pair of mappings ( S , T ) defined on a set X . We use our new notion to create and prove a common fixed point theorem for two mappings defined on a metric space ( X , d ) under a set of conditions. Furthermore, we employ our main result to get another new result. Our results are modifications of many existing results in the literature. An example is included in order to show the authenticity of our main result.

Suggested Citation

  • Wasfi Shatanawi, 2018. "Common Fixed Points for Mappings under Contractive Conditions of ( α , β , ψ )-Admissibility Type," Mathematics, MDPI, vol. 6(11), pages 1-11, November.
  • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:261-:d:183680
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/11/261/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/6/11/261/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Shatanawi, Wasfi, 2012. "Some fixed point results for a generalized ψ-weak contraction mappings in orbitally metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 520-526.
    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. Hasanen A. Hammad & Amal A. Khalil, 2020. "The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness," Mathematics, MDPI, vol. 8(12), pages 1-21, November.
    2. Abdolsattar Gholidahneh, & Shaban Sedghi, 2017. "Tripled Coincidence Point Results for $(\psi,\varphi)$-weakly Contractive Mappings in Partially Ordered S-matric Spaces," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(5), pages 108-125, October.
    3. Vahid Parvaneh & Babak Mohammadi & Hassen Aydi & Aiman Mukheimer, 2019. "Generalized ( σ , ξ )-Contractions and Related Fixed Point Results in a P.M.S," Mathematics, MDPI, vol. 7(5), pages 1-14, May.

    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:6:y:2018:i:11:p:261-:d:183680. 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.