Random fixed point of Greguš mapping and its application to nonlinear stochastic integral equations (Q2928900)
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scientific article; zbMATH DE number 6367779
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random fixed point of Greguš mapping and its application to nonlinear stochastic integral equations |
scientific article; zbMATH DE number 6367779 |
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10 November 2014
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random fixed point
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Greguš mapping
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nonlinear stochastic integral equation
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Banach space
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Random fixed point of Greguš mapping and its application to nonlinear stochastic integral equations (English)
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The main result of the paper is a random fixed point theorem for continuous random operators satisfying some contraction type condition. This result is applied to the random integral equation in a Banach space.NEWLINENEWLINE Reviewer's remark: The proof of the main theorem is not complete: the authors did not show that the fixed point depends measurably on a random parameter.
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