JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 21, NO 4, Page. 761-768
Abstract
In this paper, we define an intuitionistic fuzzy 2-normed space. Using the fixed point alternative approach, we investigate the Hyers-Ulam stability of the following quadratic functional equation
f(ax + by) + f(ax - by) = a/2 f (x + y) + a/2 f(x - y) + (2a(2) - a)f (x) + (2b(2) - a) f (y)
in intuitionistic fuzzy 2-Banach spaces.