On almost strongly \(\theta\)-upper semicontinuous multifunctions (Q1083059)
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scientific article; zbMATH DE number 3975844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On almost strongly \(\theta\)-upper semicontinuous multifunctions |
scientific article; zbMATH DE number 3975844 |
Statements
On almost strongly \(\theta\)-upper semicontinuous multifunctions (English)
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1986
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A multifunction \(F: X\to Y\) is almost strongly \(\theta\)-upper semicontinuous if for each \(x\in X\) and each open set \(V\subset Y\) containing F(x), there exists an open set \(U\subset X\) containing x such that F(cl(U))\(\subset int(cl(V))\). The author gives conditions under which a multifunction is almost strongly \(\theta\)-upper semicontinuous.
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almost strongly \(\theta \)-upper semicontinuous multifunction
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quasi H- closed set
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