Ternary Jordan ring derivations on Banach ternary algebras: a fixed point approach

Abstract

Let A be a Banach ternary algebra. An additive mapping D : (A, [ ]) → (A, [ ]) is called a ternary Jordan ring derivation if D([xxx]) = [D(x)xx] + [xD(x)x] + [xxD(x)] for all x ∈ A. In this paper, we prove the Hyers-Ulam stability of ternary Jordan ring derivations on Banach ternary algebras.