Abstract
In this paper, we consider the Hyers-Ulam stability of Cauchy type functional equations of module left (m,n)-derivations and generalized module left (m,n)-derivations in complete metric spaces.
Highlights
The Hyers–Ulam stability problem was originated by S
We introduce a stability result of generalized module left (m, n)-derivations [10] : Theorem 1
This paper aims to obtain the refined Hyers-Ulam stability of Cauchy functional inequalities associated with module left (m, n)-derivations and generalized module left (m, n)-derivations from algebras to complete metric left Amodules, respectively
Summary
The Hyers–Ulam stability problem was originated by S. An additive mapping δ : A → M is called a module left (m, n)-derivation if (m + n)δ(xy) = 2mx · δ(y) + 2ny · δ(x) for all x, y ∈ A.
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