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Affine selections of convex set-valued functions |
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| Authors: | Andrzej Smajdor Wilhelmina Smajdor |
| Affiliation: | (1) Institute of Mathematics, Pedagogical University, Podchor!["aogon"]("/content/uq2541n678u86019/xlarge261.gif") !["zdot"]("/content/uq2541n678u86019/xlarge380.gif") ych 2, PL-30-084 Krakow, Poland;(2) Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007 Katowice, Poland |
| Abstract: | Summary It is shown that every convex set-valued function defined on a cone with a cone-basis in a real linear space with compact values in a real locally convex space has an affine selection. Similar results can be obtained for midconvex set-valued functions. |
| Keywords: | 39C05 26E25 54C65 |
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