On minimal upper semicontinuous compact-valued maps (Q1174330)
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scientific article; zbMATH DE number 8515
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On minimal upper semicontinuous compact-valued maps |
scientific article; zbMATH DE number 8515 |
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On minimal upper semicontinuous compact-valued maps (English)
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25 June 1992
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A compact-valued, usc multifunction \(F: X\to Y\) is called minimal, if it does not exist any compact-valued usc \(G: X\to Y\) such that \[ \emptyset \neq G(x) \subseteq F(x) \] for all \(x\in X\) and \(F\neq G\). Many interesting characterizations of such multifunctions are given using the cluster set technique.
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upper semicontinuity
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minimal maps
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multifunction
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cluster set
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