Ulam stability of hom-ders in fuzzy Banach algebras

Abstract

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 $ f(x+{\textbf{k}}y) = f(x)+{\textbf{k}}f(y) $ where $ {\textbf{k}} $ is a fixed positive integer greater than $ 1 $.

Keywords

• ulam stability result
• hom-der
• fuzzy banach algebra
• fixed point method