On the Hyers-Ulam stability problem for quadratic multi-dimensional mappings

DOI10.1007/s00010-002-8031-7zbMath1009.39024OpenAlexW1967442668MaRDI QIDQ1849452

John Michael S. Rassias

Publication date: 1 December 2002

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-002-8031-7

zbMATH Keywords

Hyers-Ulam stabilityquadratic mappingnormed linear spacesGeneral stability problemsquare of the quadratic weighted mean

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 (6)

Elementary remarks on Ulam-Hyers stability of linear functional equations ⋮ Stability problem of Ulam for Euler-Lagrange quadratic mappings ⋮ On the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation ⋮ Functional equations motivated by the Lagrange’s identity ⋮ Extended Hyers–Ulam stability for Cauchy–Jensen mappings† ⋮ A note on stability of maps which preserve equality of distance

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