Jordan derivations on $C^*$-ternary algebras for a Cauchy-Jensen functional equation

Abstract

In this paper, we proved the generalized Hyers-Ulam stability of homomorphisms in C * -ternary algebras and of derivations on C * -ternary algebras for the following Cauchy-Jensen functional equation 3fx + y + zThese were applied to investigate isomorphisms between C * -ternary algebras.