Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach

We say a functional equation (\xi) is stable if any function g satisfying the equation (\xi) approximately is near to true solution of (\xi). Using fixed point methods, we investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equationf(\lambda_۱x + \lambda_۲y + \lambda_۳z) = \lambda_۱f(x) + \lambda_۲f(y) + \lambda_۳f(z).

Keywords:

Alternative fixed point , HyersUlamRassias stability , ternary algebra , ternary derivation