General random fixed point theorem and its applications (Q1059329)
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scientific article; zbMATH DE number 3903689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General random fixed point theorem and its applications |
scientific article; zbMATH DE number 3903689 |
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General random fixed point theorem and its applications (English)
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1984
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The author considers a family of continuous set-valued random mappings with stochastic domain. The main result of the paper says that if this family has a wide-sense common fixed point, then it has a random common fixed point. This theorem is false and a counterexample can be given. Some additional assumptions (e.g. the separability of the stochastic domain) are needed.
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random fixed point
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family of continuous set-valued random mappings
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0.8266624212265015
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0.8249761462211609
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