Generalized contraction mapping principles in probabilistic metric spaces (Q1878621)
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scientific article; zbMATH DE number 2099083
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized contraction mapping principles in probabilistic metric spaces |
scientific article; zbMATH DE number 2099083 |
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Generalized contraction mapping principles in probabilistic metric spaces (English)
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7 September 2004
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Let \((S,{\mathcal F}, T)\) be a complete Menger space and \(f:S\to S\) an operator. The authors give conditions which imply that \(f\) has a unique fixed point which is globally attractive. The case when \((S, {\mathcal F} , T)\) is a complete random normed space is also discussed. Some applications are given.
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generalized probabilistic contraction mapping
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probabilistic metric space
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fixed point
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triangular norm
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random normed space
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admissible subset
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