On statistical convergence of sequences of closed sets in metric spaces (Q2054635)
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scientific article; zbMATH DE number 7438351
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On statistical convergence of sequences of closed sets in metric spaces |
scientific article; zbMATH DE number 7438351 |
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On statistical convergence of sequences of closed sets in metric spaces (English)
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3 December 2021
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The authors study several notions of sequential convergence on the set of all closed subsets of a metric space. Their main result states that each Wijsman statistically convergent sequence is Kuratowski statistically convergent (to the same limit) and that the converse holds if all closed balls in the metric space are compact.
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Kuratowski convergence
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Kuratowski statistical convergence
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Wijsman statistical convergence
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Hausdorff statistical convergence
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