Stability of homomorphisms for a 3D Cauchy–Jensen type functional equation on C ∗-ternary algebras

In this paper, we investigate homomorphisms between C ∗-ternary algebras, and derivations on C ∗-ternary algebras associated with the following Cauchy–Jensen type additive functional equation: f x +y 2 + z + f x +z 2 + y +f y + z 2 +x = 2 f (x)+ f (y) +f (z) . © 2007 Elsevier Inc. All rights reserved.