The Stability of an Additive-Quartic Functional Equation in Quasi-$\beta$-Normed Spaces with the Fixed Point Alternative

Anurak Thanyacharoen, Wutiphol Sintunavarat


The aim of this paper is to use the fixed point alternative for investigating the generalized Hyers-Ulam stability for the following additive-quartic functional equation

$$f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+ 22f(x)+24f(y) =13[f(x+y)+f(x-y)]+12f(2y),$$

where $f$ maps from a normed space to a quasi-$\beta$-Banach space.

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