On Tabor groupoids and stability of some functional equations

DOI10.1007/S00010-013-0206-XzbMath1297.39025OpenAlexW1964421213WikidataQ59394864 ScholiaQ59394864MaRDI QIDQ2248835

Barbara Przebieracz, Peter Volkmann, Roman Badora

Publication date: 27 June 2014

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

Full work available at URL: https://doi.org/10.1007/s00010-013-0206-x

zbMATH Keywords

Banach spacestability of functional equationsbounded perturbations of additive functionsTabor groupoids

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) Sets with a single binary operation (groupoids) (20N02)

Related Items (4)

Tabor groups with finiteness conditions. ⋮ On stability of the Cauchy functional equation in groupoids ⋮ On the functional equation \(f(x)+f(y)=\max\{f(xy),f(xy^{-1})\}\) on groups ⋮ Stability of functional equations and properties of groups

Cites Work

• Stability of a functional equation coming from the characterization of the absolute value of additive functions
• Characterization of the absolute value of an additive function by means of a functional equation
• On sums of linear and bounded mappings
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