Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the Cauchy functional equation.
|Journal||Australian Journal of Mathematical Analysis and Applications|
|State||Published - 2009 Sep 23|
- Cauchy functional equation
- Derivation on Banach algebra
- Fixed point
- Generalized Hyers-Ulam stability
- Homomorphism in Banach algebra