A fixed point method to the stability of a Jensen functional equation in intuitionistic fuzzy 2-Banach spaces

Abstract

In this paper, we recall the notion of intuitionistic fuzzy 2-normed space introduced in [1] and using the fixed point method, we investigate the Hyers-Ulam stability of the following functional equation 2f(x+y/2) + f(x-y/2) + f(y-x/2) = f(x) + f(y) (1) in intuitionistic fuzzy 2-Banach spaces.