Fixed point theorems of random set-valued mappings and their applications (Q802212)
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scientific article; zbMATH DE number 3881609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems of random set-valued mappings and their applications |
scientific article; zbMATH DE number 3881609 |
Statements
Fixed point theorems of random set-valued mappings and their applications (English)
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1984
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The author gives some random fixed point theorems for set-valued mappings and systems of such mappings, under assumptions of the contraction type. He applies these results to systems of random integral and differential equations. His theorems generalize some results of \textit{S. Itoh} [Pacific J. Math. 68, 85-90 (1977; Zbl 0335.54036)], and \textit{G. F. Andrus} and \textit{T. Nishiura} [Nonlinear Anal., Theory Methods Appl. 3, 65-72 (1979; Zbl 0425.60058)].
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random fixed point theorems
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set-valued mappings
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contraction
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