The first step was to jettison the service module, leaving the command and lunar modules joined in a configuration never previously flown.
Therefore, g is a generalized module left ( m, n ) -derivation on A. This completes the proof.
We discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module.
The generalized Hyers-Ulam-Rassias stability of generalized module left ( m, n ) -derivations on a normed algebra A into a Banach left A -module is established.
for all x ∈ A. Moreover, by Theorem 1 in [18], D is a module left ( m, n ) -derivation.
During biological exposure, three QCMs were removed from the module leaving one QCM installed in the fourth position.
Then an additive mapping d : A → M is called a module left ( m, n ) -derivation if ( m + n ) d ( x y ) = 2 m x ⋅ d ( y ) + 2 n y ⋅ d ( x ). for all x, y ∈ A. Clearly, module left ( m, n ) -derivations are one of the natural generalizations of module left derivations (the case m = n ).
In the present paper, we will discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module.
Later, Moslehian [14] studied approximate generalized derivations on unital Banach algebras into Banach bimodules, and in [8] Jung examined the stability of module left derivations.
