Additive selections and the stability of the Cauchy functional equation

DOI10.1017/S1446181100008051zbMath1037.39008MaRDI QIDQ4802151

Roman Ger, Roman Badora, Zsolt Páles

Publication date: 16 December 2003

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

stabilityinvariant meanselectionfunctional inequalitiesset-valued functionquasi-additivityadditive functionCauchy functional equationamenable semigroupHausdorff locally convex linear spacequasi-additive function

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62) Systems of functional equations and inequalities (39B72)

Related Items

Asymptotic stability of the Cauchy and Jensen functional equations, Invariant means on Banach spaces, Invariant vector means and complementability of Banach spaces in their second duals, Vector-valued invariant means, Vector valued invariant means, complementability and almost constrained subspaces, Lipschitz stability of operators in Banach spaces, On Selections of Some Generalized Set-Valued Inclusions, Set-valued orthogonal additivity, Remarks on the Cauchy functional equation and variations of it, Banach limits: some new thoughts and perspectives, Stability results and separations theorems, Selections of Set-valued Maps Satisfying Some Inclusions and the Hyers–Ulam Stability, Some Functional Equations Related to the Characterizations of Information Measures and Their Stability

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