On approximate cubic homomorphisms
Abstract
In this paper, we investigate the generalized Hyers--Ulam--Rassias stability of the system of functional equations f(xy)=f(x)f(y), . f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x), on Banach algebras. Indeed we establish the superstability of above system by suitable control functions.
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