Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras

In this article, we investigate the generalized Hyers-Ulam-Rassias stability, Isac-Rassias type stability and superstability of ternary homomorphisms and ternary derivations associated to the generalized m- variables Cauchy-Jensen functional equation ∑ i = 1 m f ( x i ) - 1 2 m ∑ i = 1 m f m x i + ∑ j = 1 , j ≠ i m x j + f ∑ i = 1 m x i = 0 for a fixed positive integer m with m ≥ 3 on ternary quasi-Banach algebras. 2010 Mathematics Subject Classification : 39B82; 39B52.