IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i12p1954-d1677875.html
   My bibliography  Save this article

Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings

Author

Listed:
  • Ghaziyah Alsahli

    (Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia)

  • Abasalt Bodaghi

    (Department of Mathematics, W.T. C., Islamic Azad University, Tehran 1468763785, Iran)

Abstract

In this work, we define the multi-radical quadratic and multi-radical quartic mappings as two systems of radical functional equations and then represent them as two equations. Then, we establish some results concerning the stability of multi-radical quadratic and multi-radical quartic mappings by applying a fixed-point based on Brzdȩk. As a direct consequence, we prove the Rassias and Hyers stability of the mentioned mappings.

Suggested Citation

  • Ghaziyah Alsahli & Abasalt Bodaghi, 2025. "Approximation of Two Systems of Radical Functional Equations Related to Quadratic and Quartic Mappings," Mathematics, MDPI, vol. 13(12), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:12:p:1954-:d:1677875
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/12/1954/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/12/1954/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bahyrycz, Anna & Ciepliński, Krzysztof & Olko, Jolanta, 2015. "On an equation characterizing multi-additive-quadratic mappings and its Hyers–Ulam stability," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 448-455.
    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.

      More about this item

      Keywords

      ;
      ;
      ;

      Statistics

      Access and download statistics

      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:13:y:2025:i:12:p:1954-:d:1677875. 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.