Copyright © 2009 Choonkil Park. 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.
Using the fixed point method, we prove the generalized Hyers-Ulam
stability of homomorphisms in -algebras and Lie -algebras and of derivations
on -algebras and Lie -algebras for the Cauchy functional equation.