On a generalization of the Cauchy functional equation

DOI10.1007/BF01833998zbMath0788.39004MaRDI QIDQ1312259

Janusz Brzdȩk

Publication date: 18 May 1994

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

Full work available at URL: https://eudml.org/doc/137540

zbMATH Keywords

vector spacegeneralizationCauchy functional equationbiadditive mappinggeneral form of the solutions

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32)

Related Items (4)

Remarks on hyperstability of the Cauchy functional equation ⋮ On some recent developments in Ulam's type stability ⋮ Remarks on stability of some inhomogeneous functional equations ⋮ The inhomogeneous general linear functional equation

Cites Work

• Boundedness and continuity of additive and convex functionals
• Theorems of Bernstein-Doetsch, Piccard and Mehdi and semilinear topology
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