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 $C^{\ast }$ -ternary Jordan homomorphisms between $C^{\ast }$ -ternary Banach algebras and orthogonally $C^{\ast }$ -ternary Jordan derivations of some functional equation on $C^{\ast }$ -ternary Banach algebras.