On stability of the Cauchy functional equation in groupoids

DOI10.1515/AMSIL-2016-0018zbMath1375.39050OpenAlexW2564049476MaRDI QIDQ2404721

Imke Toborg, Peter Volkmann

Publication date: 20 September 2017

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amsil-2016-0018

zbMATH Keywords

stabilityBanach spacegroupoidsCauchy functional equationTabor 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) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (2)

The monomial functional equation for connected Lie groups ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions

Cites Work

• Tabor groups with finiteness conditions.
• On the stability of functional equations
• On Tabor groupoids and stability of some functional equations
• Hyers–Ulam stability of functional equations with a square-symmetric operation
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