|
|
|
|
Volume 4, Issue 1, Article 10 |
|
|
|
|
|
|
Partitioned Cyclic Functional Equations
|
|
|
Authors: |
Jae-Hyeong Bae, Won-Gil Park, |
|
|
|
Keywords:
|
Stability, Partitioned functional equation, Algebra homomorphism. |
|
|
|
Date Received:
|
22/07/02 |
|
|
|
Date Accepted:
|
14/11/02 |
|
|
|
Subject Codes: |
39B05,39B82
|
|
|
|
Editors: |
Themistocles M. Rassias, |
|
|
|
|
|
|
|
|
|
Abstract: |
We prove the generalized Hyers-Ulam-Rassias stability of a partitioned functional equation. It is applied to show the stability of algebra homomorphisms between Banach algebras associated with partitioned functional equations in Banach algebras.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|