Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces

Abstract

In this paper, the Hyers–Ulam–Rassias stabilities of two functional equations, f a x + b y = r f x + s f y and f x + y + z = 2 f x + y / 2 + f z , are investigated in the framework of fuzzy normed spaces.