Über lipschitzstetige implizite Funktionen. (On Lipschitz continuous implicit functions) (Q919582)
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scientific article; zbMATH DE number 4161454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Über lipschitzstetige implizite Funktionen. (On Lipschitz continuous implicit functions) |
scientific article; zbMATH DE number 4161454 |
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Über lipschitzstetige implizite Funktionen. (On Lipschitz continuous implicit functions) (English)
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1989
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For Banach spaces X and Y and metric spaces Z it is proved, that the implicit equation \(F(x,z)+K(z)x=0\) has a local solution \(x=x(z)\) provided \(\partial F/\partial x(x_ 0,z_ 0)+K(z_ 0)\) is invertible in the space of Lipschitzian mappings from X to Y.
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implicit equation
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