Approximate homomorphisms and derivations in proper \(JCQ^\ast\)-triples via a fixed point method (Q5920313)
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scientific article; zbMATH DE number 6281295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate homomorphisms and derivations in proper \(JCQ^\ast\)-triples via a fixed point method |
scientific article; zbMATH DE number 6281295 |
Statements
Approximate homomorphisms and derivations in proper \(JCQ^\ast\)-triples via a fixed point method (English)
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8 April 2014
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The authors prove the generalized Hyers-Ulam-Rassias stability of homomorphisms and derivations in proper \(JCQ^*\)-triples associated with the functional equation \[ f(kx+ky+kz)=k[f(x)+f(y)+f(z)] \] for a fixed positive integer \(k\), using the fixed point method. The case of the usual Hyers-Ulam-Rassias stability was considered by \textit{C. Park} and \textit{Th. M. Rassias} [J. Math. Anal. Appl. 337, No. 2, 1404--1414 (2008; Zbl 1147.39012)].
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generalized Hyers-Ulam-Rassias stability
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proper \(JCQ^\ast\)-triple homomorphism
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proper \(JCQ^\ast\)-triple derivation
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fixed point theory
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