Stability of quadratic functional equation in modular spaces

Abderrahman Baza, Mohamed Rossafi, Arul Joseph Gnanaprakasam

Published 2025-04-13Version 1

In this paper, we study the Hyers-Ulam stability of the following equation \begin{multline*} \phi(x+y-z)+\phi(x+z-y)+\phi(y+z-x)=\phi (x-y)+\phi(x-z)+\phi(z-y) +\phi(x)+\phi(y) +\phi(z) \end{multline*} in modular space, with or without $\Delta_2$-condition, and in $\beta$-homogeneous Banach space.