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

In this paper, we investigate homomorphisms between C∗C∗-ternary algebras, and derivations on C∗C∗-ternary algebras associated with the following Cauchy–Jensen type additive functional equation:f(x+y2+z)+f(x+z2+y)+f(y+z2+x)=2(f(x)+f(y)+f(z)).