Hyers-Ulam stability of an \(n\)-Apollonius type quadratic mapping

zbMath1148.39025MaRDI QIDQ2469094

Abbas Najati

Publication date: 4 February 2008

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

Full work available at URL: https://projecteuclid.org/euclid.bbms/1195157142

zbMATH Keywords

Hyers-Ulam stabilityquadratic function\(n\)-Apollonius' identityApollonius' identityquadratic functional equation of \(n\)-Apollonius typequadratic functional equation of Apollonius type

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (17)

Hyers-Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces ⋮ On restricted functional inequalities associated with quadratic functional equations ⋮ Stability of a mixed functional equation in several variables on Banach modules ⋮ Inner product spaces and quadratic functional equations ⋮ A fixed point approach to almost double derivations and Lie \(*\)-double derivations ⋮ Approximately quadratic mappings on restricted domains ⋮ Fixed points and stability of an additive functional equation of \(n\)-Apollonius type in \(C^{\ast}\)-algebras ⋮ Stability of homomorphisms and generalized derivations on Banach algebras ⋮ On the asymptoticity aspect of Hyers-Ulam stability of quadratic mappings ⋮ Fixed points and random stability of a generalized Apollonius type quadratic functional equation ⋮ Stability of the pexiderized Cauchy and Jensen's equations on restricted domains ⋮ Fixed points and stability of a generalized quadratic functional equation ⋮ Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras ⋮ Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in \(C^{\ast}\)-algebras ⋮ A functional inequality in restricted domains of Banach modules ⋮ Homomorphisms in quasi-Banach algebras associated with a pexiderized Cauchy-Jensen functional equation ⋮ Refined functional equations stemming from cubic, quadratic and additive mappings

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