Various generalized Ulam-Hyers stabilities of a nonic functional equations

J. M. Rassias, M. Arunkumar, E. Sathya, T. Namachivayamr

In this paper, we have established the general solution and generalized Ulam - Hyers stability of the following nonic functional equation

f(x+5y)-9f(x+4y)+36f(x+3y)-84f(x+2y)+126f(x+y)-126f(x)
+84f(x-y)-36f(x-2y)+9f(x-3y)-f(x-4y) = 9! f(y)

where 9! = 362880 in a Banach Space (BS), Felbin's type Fuzzy Normed Space (FFNS) and Intuitionistic Fuzzy Normed Space (IFNS) using the standard direct and fixed point method. 

Tbilisi Mathematical Journal, Vol. 9(1) (2016), pp. 159-196