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

Ghaziyah Alsahli () and Abasalt Bodaghi
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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

Mathematics, 2025, vol. 13, issue 12, 1-11

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.

Keywords: Hyers–Rassias stability; multi-radical quadratic mapping; multi-radical quartic mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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