On convex hulls of star sets (Q2777739)
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scientific article; zbMATH DE number 1717667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On convex hulls of star sets |
scientific article; zbMATH DE number 1717667 |
Statements
7 March 2002
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continuity
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star-shaped
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radial metric
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star metric
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convex hull
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On convex hulls of star sets (English)
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In the class of star sets with respect to the origin the star metric is defined by the difference of the radial functions. It is shown that the convex hull operator is not continuous. However, it is continuous, but not Lipschitz continuous, if the origin is an interior point. If the origin is not distinguished, the class of star sets with kernels in the interiors is considered with a metric called star metric. Then the convex hull operater is not continuous.
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