Affine selections of convex set-valued functions (Q1909654)
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scientific article; zbMATH DE number 856822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Affine selections of convex set-valued functions |
scientific article; zbMATH DE number 856822 |
Statements
Affine selections of convex set-valued functions (English)
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20 August 1996
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Let \(X\) be a vector space, \(C \subseteq X\) be a convex cone with a cone-basis and \(c(Y)\) be the family of all compact subsets of a locally convex space \(Y\). It is shown that every convex (midconvex) set-valued function \(F : C \to c(Y)\) has an affine (a Jensen) selection.
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affine selections
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additive function
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midconvex set-valued function
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Jensen selection
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0.9600546
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0.95161897
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0.93076617
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0.91808635
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0.9156714
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0.9090613
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0.90897095
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0.9048151
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0.9048077
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