Random fixed points of set-valued maps (Q5945987)
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scientific article; zbMATH DE number 1658002
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random fixed points of set-valued maps |
scientific article; zbMATH DE number 1658002 |
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Random fixed points of set-valued maps (English)
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1 October 2002
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The main result of this note says that under some condition (A), weaker than the hemicompactness, a set-valued continuous random operator has a random fixed point iff it has a deterministic fixed point. This is a slight generalization of Theorem 2.3 of \textit{K. K. Tan} and \textit{X. Z. Yuan} [J. Math. Anal. Appl. 185, No. 2, 378-390 (1994; Zbl 0856.47036)].
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set-valued random operator
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random fixed point
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condition (A)
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