Additive selections and the stability of the Cauchy functional equation

• Autores: Zsolt Páles, Roman Badora, Roman Ger
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 44, Nº 3, 2003, págs. 323-337
• Idioma: inglés
• DOI: 10.1017/s1446181100008051
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• Resumen

  • The main result of this paper offers a necessary and sufficient condition for the existence of an additive selection of a weakly compact convex set-valued map defined on an amenable semigroup. As an application, we obtain characterisations of the solutions of several functional inequalities, including that of quasi-additive functions.