Some new random fixed point theorems and application (Q2800504)
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scientific article; zbMATH DE number 6569624
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some new random fixed point theorems and application |
scientific article; zbMATH DE number 6569624 |
Statements
15 April 2016
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random fixed point
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random operator
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random fixed point index
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semi-closed operator
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1-set contractive operator
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Some new random fixed point theorems and application (English)
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Let \(E\) be a Banach space, \(\Omega\) the set of random parameters, \(D\) a bounded open set in \(E\), and \(A:\Omega \times \bar{\Omega }\to E\) a random operator. The authors study the existence of random solutions of the equation \(A(\omega ,x)=\mu x\) and systems of such equations. They assume that the operators are semi-closed, 1-set contractive and satisfy some inequalities on \(\Omega \times \partial D\). The proofs are based on earlier results on random fixed points and random fixed point index.
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