Generalized Hyers-Ulam stability for a general mixed functional equation in quasi-\(\beta \)-normed spaces

DOI10.1007/s00009-010-0082-8zbMath1236.39026OpenAlexW2002523890MaRDI QIDQ644591

Ramazan Zarghami, Golamreza Zamani Eskandani, Paşc Găvruţă, John Michael S. Rassias

Publication date: 4 November 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0082-8

zbMATH Keywords

generalized Hyers-Ulam stabilityquasi-\(\beta\)-normed spacescontractively subadditiveexpansively superadditive

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Isomorphic theory (including renorming) of Banach spaces (46B03) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (13)

On the Hyers-Ulam stability of the first-order difference equation ⋮ On the general solution and hyperstability of the general radical quintic functional equation in quasi-\(\beta\)-Banach spaces ⋮ Hyers-Ulam-Rassias stability of derivations in proper \(JCQ^\ast\)-triples ⋮ A fixed point approach to the stability of an AQ-functional equation on \(\beta\)-Banach modules ⋮ A fixed point approach to the Hyers-Ulam stability of an AQ functional equation on \({\beta}\)-Banach modules ⋮ Hyers-Ulam stability of polynomial equations ⋮ Stability for the mixed type of quartic and quadratic functional equations ⋮ Nearly radical quadratic functional equations in \(p-2\)-normed spaces ⋮ Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces ⋮ On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings ⋮ Orthogonal stability and nonstability of a generalized quartic functional equation in quasi-\(\beta\)-normed spaces ⋮ Mappings preserving unit distance on Heisenberg group ⋮ Fundamental Stabilities of Various Forms of Complex Valued Functional Equations

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