Approximate Generalized Additive-Quadratic Functional Equations on Ternary Banach Algebras

In this paper, we introduce the concept of j-hom-derivation, $j\in \{1,2\}$ and solve the new generalized additive-quadratic functional equations in the sense of ternary Banach algebras. Moreover, using the fixed point method, we prove its Hyers-Ulam stability.