IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i17p2059-d622463.html
   My bibliography  Save this article

Fixed Point Theorems for Nonexpansive Mappings under Binary Relations

Author

Listed:
  • Aftab Alam

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
    These authors contributed equally to this work.)

  • Reny George

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
    These authors contributed equally to this work.)

  • Mohammad Imdad

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
    These authors contributed equally to this work.)

  • Md Hasanuzzaman

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
    These authors contributed equally to this work.)

Abstract

In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R -Krasnoselskii sequence. We observe that graphical versions (Fixed Point Theory Appl. 2015:49 (2015) 6 pp.) and order-theoretic versions (Fixed Point Theory Appl. 2015:110 (2015) 7 pp.) of such results can be extended to a transitive binary relation.

Suggested Citation

  • Aftab Alam & Reny George & Mohammad Imdad & Md Hasanuzzaman, 2021. "Fixed Point Theorems for Nonexpansive Mappings under Binary Relations," Mathematics, MDPI, vol. 9(17), pages 1-10, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2059-:d:622463
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/17/2059/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/17/2059/
    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:17:p:2059-:d:622463. 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.