Additive selections and the stability of the Cauchy functional equation
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AbstractThe 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.
2003 ◽
Vol 2003
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pp. 2501-2505
1991 ◽
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pp. 351-361
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pp. 183-193
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pp. 339-343
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1976 ◽
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pp. 467-471
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pp. 391-399
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pp. 225-230
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Vol 70
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pp. 323-336
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