Hyers-Ulam-Rassias stability of cubic functional equations in fuzzy normed spaces

Abstract

In this paper, two cubic functional equations are shown to be equivalent, Hyers-Ulam-Rassias stability of them is proved under some suitable conditions by the fixed point method in fuzzy normed spaces. Moreover, the fuzzy continuity of the solution of the functional equation is discussed.

Keywords

• fuzzy normed space
• cubic functional equation
• hyers-ulam-rassias stability
• fuzzy continuity