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Stability of the Jensen type functional equation in Banach algebras: a fixed point approach

Authors
Park, ChoonkilPark, Won-GilLee, Jung RyeRassias, Themistocles M.
Issue Date
Jul-2011
Publisher
강원경기수학회
Keywords
Jensen type functional equation; fixed point; homomorphism in Banach algebra; generalized Hyers-Ulam stability; derivation on Banach algebra.
Citation
한국수학논문집, v.19, no.2, pp.149 - 161
Indexed
KCI
Journal Title
한국수학논문집
Volume
19
Number
2
Start Page
149
End Page
161
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/168000
ISSN
1976-8605
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 following Jensen type functional equation:f[수식]+f[수식]=f(x).
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