On the Fuzzy Stability of Cubic Mappings Using Fixed Point Method

Abstract

Abstract. Let X and Y be vector spaces. We introduce a new type of a cubic functional equation f : X → Y . Furthermore, we assume X is a vector space and (Y, N ) is a fuzzy Banach space and then investigate a fuzzy version of the generalized Hyers-Ulam stability in fuzzy Banach space by using fixed point method for the cubic functional equation.