Hyers-Ulam-Rassias Stability of the $C^*$-ternary Bi-homomorphisms and $C^*$-ternary Bi-derivations in $C^*$-ternary Algebras

Abstract

In this paper, we prove Hyers-Ulam-Rassias stability of C * -ternary bi-homomorphisms and C * -ternary bi-derivations in C * -ternary algebras by using alternative fixed point theorem.