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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
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