Refined stability of the additive, quartic and sextic functional equations with counter-examples

In this study, we utilize the direct method (Hyers approach) to examine the refined stability of the additive, quartic, and sextic functional equations in modular spaces with and without the $ \Delta _{2} $-condition. We also use the direct approach to discuss the Ulam stability in $ 2 $-Banach spac...

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Bibliographic Details
Main Authors: Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen
Format: Article
Language:English
Published: AIMS Press 2023-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023736?viewType=HTML