Copyright © 2009 M. Eshaghi Gordji et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let , and be positive integers. Let be an algebra and let be an -bimodule. A -linear
mapping is called a generalized -derivation if
there exists a -derivation such that
for all . The main purpose of this paper is
to prove the generalized Hyers-Ulam stability of the generalized