Some representations of midconvex set-valued functions |
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| Authors: | Kazimierz Nikodem Francesca Papalini Susanna Vercillo |
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| Affiliation: | (1) Department of Mathematics, Technical University, Willowa 2, PL-43-309 Bielsko-Biala, Poland;(2) Department of Mathematics, Perugia University, Via Vanvitelli 1, I-06100 Perugia, Italy |
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| Abstract: | Summary 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. |
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| Keywords: | Primary 26B25 Secondary 54C60, 54C65 |
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