Orthogonally C∗-Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability

Abstract

In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of orthogonally C∗-ternary Jordan homomorphisms between C∗-ternary Banach algebras and orthogonally C∗-ternary Jordan derivations of some functional equation on C∗-ternary Banach algebras.