Abstract
In this paper, we have established the general solution and generalized Ulam - Hyers stability of the following nonic functional equation \begin{align*} & f(x+5y)-9f(x+4y)+36f(x+3y)-84f(x+2y)+126f(x+y)-126f(x)\\ & \qquad \qquad\qquad\qquad +84f(x-y)-36f(x-2y)+9f(x-3y)-f(x-4y) = 9! f(y) \end{align*} where $9! = 362880$ in a Banach Space ($\textbf{BS}$), Felbin's type Fuzzy Normed Space ($\textbf{FFNS}$) and Intuitionistic Fuzzy Normed Space ($\textbf{IFNS}$) using the standard direct and fixed point method.
Citation
John M. Rassias. M. Arunkumar. E. Sathya. T. Namachivayam. "Various generalized Ulam-Hyers stabilities of a nonic functional equations." Tbilisi Math. J. 9 (1) 159 - 196, June 2016. https://doi.org/10.1515/tmj-2016-0008
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