We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp., derivations).
"Approximation of Generalized Left Derivations." Abstr. Appl. Anal. 2008 1 - 8, 2008. https://doi.org/10.1155/2008/915292