On the stability of quadratic functional equations

DOI10.1155/2008/628178zbMath1146.39045OpenAlexW2117167751WikidataQ58644371 ScholiaQ58644371MaRDI QIDQ938361

Chun-Gil Park, Jung Rye Lee, Jong Su An

Publication date: 19 August 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54564

zbMATH Keywords

Banach spacesHyers-Ulam-Rassias 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 (12)

Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations ⋮ Ulam stability of a quartic functional equation ⋮ Approximation on the quadratic reciprocal functional equation ⋮ Intuitionistic fuzzy stability of a quadratic functional equation ⋮ The stability of a quadratic functional equation with the fixed point alternative ⋮ On the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach ⋮ Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces ⋮ Unnamed Item ⋮ Stability of quartic functional equations in the spaces of generalized functions ⋮ On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations ⋮ Functional inequalities for generalized multi-quadratic mappings ⋮ On the construction of functional equations with prescribed general solution

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• On the Stability of the Linear Mapping in Banach Spaces
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• On the stability of the quadratic mapping in normed spaces

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