Resumen de Additive selections and the stability of the Cauchy functional equation

Zsolt Páles, Roman Badora, Roman Ger

• 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.