Document Type : Regular Paper
Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran
Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South Korea
The main goal of this paper is the study of the generalized Hyers-Ulam stability of the following functional
equation f (2x y) f (2x y) (n 1)(n 2)(n 3) f ( y) 2n2 f (x y) f (x y) 6 f (x) where n 1,2,3,4 , in non–Archimedean spaces, by using direct and fixed point methods.