Stability of ternary quadratic derivation on ternary Banach algebras: revisited

Abstract

In [6], Shagholi et al. defined ternary quadratic derivations on ternary Banach algebras and proved the Hyers-Ulam stability of ternary quadratic derivations on ternary Banach algebras. But the definition is not well-defined and so the proofs of the main results are wrong. In this paper, we correct the definition of ternary quadratic derivation and the proofs of the main results.