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Fixed points and stability of the Cauchy functional equation
- Issue Date
- Sep-2009
- Publisher
- Australian Internet Publishing
- Keywords
- Cauchy functional equation; Derivation on Banach algebra; Fixed point; Generalized Hyers-Ulam stability; Homomorphism in Banach algebra
- Citation
- Australian Journal of Mathematical Analysis and Applications, v.6, no.1, pp 1 - 9
- Pages
- 9
- Indexed
- SCOPUS
- Volume
- 6
- Number
- 1
- Start Page
- 1
- End Page
- 9
- ISSN
- 1449-5910
- Abstract
- 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.
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