Ulam Stability of a Pexiderized Additive-quadratic Equation
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5758Keywords:
Pexiderized additive-quadratic functional equation, Hyers-Ulam stability, fixed point methodAbstract
Suppose that $E$ is a normed space. In this work, using Brzd{\c{e}}k fixed point theorem, we prove the Hyers-Ulam stability of the Pexiderized additive-quadratic functional equation
\begin{align*}
f(x+y)+f(x-y)+h(x+y)=2f(x)+2f(y)+h(x)+h(y)
\end{align*}
for all $x,y\in E$.
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Copyright (c) 2025 Mehdi Dehghanian, Yamin Sayyari, Siriluk Donganont, Choonkil Park
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