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On the stability of Appolonius' equation

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Publication:558371
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zbMath1076.39026MaRDI QIDQ558371

Hark-Mahn Kim, Kil-Woung Jun

Publication date: 5 July 2005

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)


zbMATH Keywords

Banach modulesBanach spacequadratic functional equationAppolonius' functional equationAppolonius' identityHyers-Ulam-Rassias-Găvruta stability


Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)


Related Items (5)

Homomorphisms in \(C^{*}\)-ternary algebras and \(JB^{*}\)-triples ⋮ Additive ρ-Functional Inequalities and Their Applications ⋮ Homomorphisms and derivations in \(C^{*}\)-algebras ⋮ On the Ulam type stability of several types of quadratic fuzzy set-valued functional equations ⋮ A new hyperstability result for the Apollonius equation on a restricted domain and some applications







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