Ulam stability of hom-ders in fuzzy Banach algebras

Abstract

<abstract><p>This paper aims to investigate a new type of derivations in a fuzzy Banach algebra. Moreover, by using the fixed point method, we obtain some stability results of the hom-der in fuzzy Banach algebras associated with the functional equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ f(x+{\textbf{k}}y) = f(x)+{\textbf{k}}f(y) $\end{document} </tex-math></disp-formula></p> <p>where $ {\textbf{k}} $ is a fixed positive integer greater than $ 1 $.</p></abstract>