A general random fixed point theorem for upper semicontinuous multivalued 1-set-contractions (Q1095500)
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scientific article; zbMATH DE number 4028546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general random fixed point theorem for upper semicontinuous multivalued 1-set-contractions |
scientific article; zbMATH DE number 4028546 |
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A general random fixed point theorem for upper semicontinuous multivalued 1-set-contractions (English)
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1987
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The author studies the existence of random fixed points for upper semicontinuous multivalued random operators with stochastic domain. He assumes that for each value of the random parameter, the corresponding deterministic operator is a 1-set contraction and satisfies the Leray- Schauder condition. Related results for condensing random operators with deterministic domain were obtained by \textit{S. Reich}, Atti Accad. Naz. Lincei, VIII Ser., Rend. Cl. Sci. Fis. Mat. Nat. 64, 65-66 (1978; Zbl 0411.60064).
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existence of random fixed points
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semicontinuous multivalued random operators
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stochastic domain
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Leray-Schauder condition
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