The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras

Mathematical Analysis and its Contemporary Applications

دوره 2، شماره 1، تابستان 2020، صفحه 17-22  

نوع مقاله: Original Article

نویسنده

Abolfazl Niazi Motlagh

Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran.

چکیده

In this paper, the generalized Hyers-Ulam stability of the
functional inequality
\begin{align*}
\|f(a)+f(b)+cf(d)+f(c)d\|\leq
\Big\|kf\Big(\frac{a+b+cd}{k}\Big)\Big\|, \ \ \ \ \ |k|<|2|,
\end{align*}
in non-Archimedean Banach algebras is established.

کلیدواژه‌ها

Banach algebra؛ Derivation؛ Generalized Hyers-Ulam stability؛ Non-Archimedean Banach algebra