Approximate ternary Jordan ring homomorphisms in ternary Banach algebras

Abstract

Let A and B be real ternary Banach algebras. An additive mappings : (A, [ ](A)) -> (B, [ ](B)) is called a ternary Jordan homomorphism if ([x, x, x](A)) = [(x), (x)](B) for all x is an element of A. In this paper, we investigate the stability and superstability of ternary Jordan ring homomorphisms in ternary Banach algebras by using the fixed point method.