Generalized contractive set-valued maps on complete preordered quasi-metric spaces (Q1936460)
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scientific article; zbMATH DE number 6134552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized contractive set-valued maps on complete preordered quasi-metric spaces |
scientific article; zbMATH DE number 6134552 |
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Generalized contractive set-valued maps on complete preordered quasi-metric spaces (English)
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5 February 2013
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Summary: By using a suitable modification of the notion of a \(w\)-distance we obtain some fixed point results for generalized contractive set-valued maps on complete preordered quasi-metric spaces. We also show that several distinguished examples of non-metrizable quasi-metric spaces and of cones of asymmetric normed spaces admit \(w\)-distances of this type. Our results extend and generalize some well-known fixed point theorems.
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\(w\)-distance
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generalized contractive set-valued maps
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complete quasi-metric spaces
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