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Approximate homomorphisms and derivations in proper \(JCQ^\ast\)-triples via a fixed point method - MaRDI portal

Approximate homomorphisms and derivations in proper \(JCQ^\ast\)-triples via a fixed point method (Q5917917)

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scientific article; zbMATH DE number 6155032
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Approximate homomorphisms and derivations in proper \(JCQ^\ast\)-triples via a fixed point method
scientific article; zbMATH DE number 6155032

    Statements

    Approximate homomorphisms and derivations in proper \(JCQ^\ast\)-triples via a fixed point method (English)
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    17 April 2013
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    The authors investigate the generalized Hyers-Ulam stability of homomorphisms and derivations in proper \(JCQ^{\ast}\)-triples associated with the functional equation \(\frac{1}{k} f(kx+ky+kz)=f(x)+f(y)+f(z)\) for a fixed positive integer \(k\) by using the fixed point method.
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    fixed point theory
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    functional equation
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    generalized Hyers-Ulam stability
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    proper \(JCQ^{\ast }\)-triple homomorphism
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    proper \(JCQ^{\ast }\)-triple derivation
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