%0 Journal Article %T Direct and fixed point methods approach to the generalized Hyers–Ulam stability for a functional equation having monomials as solutions %J Iranian Journal of Science %I Springer %Z 2731-8095 %A Azadi Kenary, H. %A Park, C. %D 2011 %\ 12/06/2011 %V 35 %N 4 %P 301-307 %! Direct and fixed point methods approach to the generalized Hyers–Ulam stability for a functional equation having monomials as solutions %K Hyers- Ulam stability %K non -Archimedean normed space %K p - adic field %R 10.22099/ijsts.2011.2155 %X The main goal of this paper is the study of the generalized Hyers-Ulam stability of the following functionalequation f (2x  y)  f (2x  y)  (n 1)(n  2)(n  3) f ( y)  2n2 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. %U https://ijsts.shirazu.ac.ir/article_2155_b16b3ef844c2102c9773dc67caea12d5.pdf