Some representations of midconvex set-valued functions

Some representations of midconvex set-valued functions

In this note we establish conditions under which every midconvex set-valued function can be represented as sum of an additive function and a convex set-valued function. These results improve some theorems obtained in [8], [10] and [3]. Some results on local Jensen selections of midconvex set-valued...

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Veröffentlicht in:Aequationes mathematicae 1997-02, Vol.53 (1-2), p.127-140
Hauptverfasser: Nikodem, Kazimierz, Papalini, Francesca, Vercillo, Susanna
Format: Artikel
Sprache:eng
Schlagworte:
Optimization
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Zusammenfassung:In this note we establish conditions under which every midconvex set-valued function can be represented as sum of an additive function and a convex set-valued function. These results improve some theorems obtained in [8], [10] and [3]. Some results on local Jensen selections of midconvex set-valued functions are also given.[PUBLICATION ABSTRACT]
ISSN:0001-9054
1420-8903
DOI:10.1007/BF02215969