Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 918785, 24 pages
doi:10.1155/2009/918785

A fixed point approach to the fuzzy stability of an additive-quadratic-cubic functional equation

Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic functional equation f(x+2y)+f(x−2y) = 2f(x+y)−2f(−x−y)+2f(x−y)−2f(y−x)+f(2y)+f(−2y)+4f(−x)−2f(x) in fuzzy Banach spaces.