IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i10p1685-d815604.html
   My bibliography  Save this article

On Asymptotic Behavior of a 2-Linear Functional Equation

Author

Listed:
  • Jae-Hyeong Bae

    (Humanitas College, Kyung Hee University, Yongin 17104, Korea
    These authors contributed equally to this work.)

  • Mohammad B. Moghimi

    (Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
    These authors contributed equally to this work.)

  • Abbas Najati

    (Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
    These authors contributed equally to this work.)

  • Batool Noori

    (Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
    These authors contributed equally to this work.)

Abstract

In this paper, we deal with a 2-linear functional equation. The Hyers-Ulam stability of this functional equation is shown on some restricted unbounded domains, and the obtained results are applied to get several hyperstability consequences. Moreover, some asymptotic behaviors of 2-linear functions are investigated. We also study the Hyers-Ulam stability and superstability of the 2-linear functional equation in 2-Banach spaces.

Suggested Citation

  • Jae-Hyeong Bae & Mohammad B. Moghimi & Abbas Najati & Batool Noori, 2022. "On Asymptotic Behavior of a 2-Linear Functional Equation," Mathematics, MDPI, vol. 10(10), pages 1-10, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1685-:d:815604
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/10/1685/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/10/1685/
    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:10:y:2022:i:10:p:1685-:d:815604. 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.