Sentence examples for ternary derivation from inspiring English sources

This means that D is a ternary derivation.

Now, we show that D is a ternary derivation.

Then f : A → A is a ternary derivation.

Then f is a quadratic ternary derivation and g is a generalized quadratic ternary derivation related to f. Proof.

Then there exists a unique ternary derivation D : A → B such that f ( x ) - D ( x ) A ≤ θ 1 m p - 1 1 p. for all x ∈ A. Proof.

Suppose that the mappings g, f : A → A satisfy g(0) = f(0) = 0 and Δ ( g, f ) ( x 1, ⋯, x 8 ) ≤ ε max x i s : 1 ≤ i ≤ 8. for all x 1, x 2, ⋯, x 8 ∈ A. Then there exist a unique quadratic ternary derivation d : A → A and a unique generalized quadratic ternary derivation D : A → A (respected to d) such that.

Now, we investigate the Hyers-Ulam-Rassias stability of ternary derivations in ternary fuzzy Banach algebras.

Similar to Corollary 2.5, we can prove the superstability of ternary derivations on ternary quasi-Banach algebras as follows.

Also Moslehian had investigated the stability and the superstability of ternary derivations on C*-ternary rings [15].

Moreover, by using the main theorems, we prove the superstability of ternary homomorphisms and ternary derivations on ternary quasi Banach algebras.

In this paper, we establish the generalized Hyers-Ulam-Rassias stability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras.