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.