On approximate group homomorphisms

DOI10.1016/J.JMAA.2018.02.017zbMath1390.39097OpenAlexW2791795169MaRDI QIDQ1754602

Roman Badora, Barbara Przebieracz

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.02.017

zbMATH Keywords

approximate group homomorphismFarah's problemErdős' problemUlam's stability problem

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) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (3)

AMHNMH, AMNM and ADND pairs ⋮ Asymptotic behavior of \(n\)-Jordan homomorphisms ⋮ n-derivations and functional inequalities with applications

Cites Work

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• Amenable semigroups
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• On stability of the Cauchy equation on semigroups
• Note on almost additive functions
• Proper families and almost additive functions
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• On Cauchy's Functional Equation
• On almost additive functions
• On the Stability of the Linear Functional Equation
• Invariant measures
• Approximate homomorphisms. II: Group homomorphisms

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