On completion of fuzzy quasi-metric spaces (Q818418)
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scientific article; zbMATH DE number 5013561
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On completion of fuzzy quasi-metric spaces |
scientific article; zbMATH DE number 5013561 |
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On completion of fuzzy quasi-metric spaces (English)
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20 March 2006
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A sequence \(\{x_n\}\) in a fuzzy quasi-metric space \((X,M)\) is called a Cauchy sequence if there exists a sequence \(\{y_m\}\) such that \(\lim_{m,n}M(y_m,x_n,t)=1\) for all \(t>0\). By means of the above notion, the authors introduce the completion of a fuzzy quasi-metric space, and investigate its properties.
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fuzzy quasi-metric space
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Cauchy sequence
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completion of a quasi-metric space
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