Hahn-Banach extension theorems for multifunctions revisited (Q999126)
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scientific article; zbMATH DE number 5500939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hahn-Banach extension theorems for multifunctions revisited |
scientific article; zbMATH DE number 5500939 |
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Hahn-Banach extension theorems for multifunctions revisited (English)
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30 January 2009
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Several generalizations of the Hahn-Banach extension theorem to \(K\)-convex multifunctions were stated recently. The author provides an easy direct proof for the multifunction version of the Hahn-Banach-Kantorovich theorem and shows that in a quite general situation it can be obtained from existing results. The author also gives counterexamples to several extension theorems stated in the literature.
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Hahn-Banach-Kantorovich extension theorems
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Yang extension theorem
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K-convex multifunctions
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Intrinsic core
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0.92869604
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0.9227272
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0.91663474
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0.89959097
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