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Fixed points and stability of the Cauchy functional equation

Authors
Park, ChoonkilRassias, Themistocles M.
Issue Date
Sep-2009
Publisher
Austral 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
Indexed
SCOPUS
Journal Title
Australian Journal of Mathematical Analysis and Applications
Volume
6
Number
1
Start Page
1
End Page
9
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/176238
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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