A new convergence result for fixed-point iteration in bounded intervals of \(\mathbb{R}^n\) (Q1130407)
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scientific article; zbMATH DE number 1192648
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new convergence result for fixed-point iteration in bounded intervals of \(\mathbb{R}^n\) |
scientific article; zbMATH DE number 1192648 |
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A new convergence result for fixed-point iteration in bounded intervals of \(\mathbb{R}^n\) (English)
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4 March 1999
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The author proposes a fixed-point iteration, based on Mann's iteration scheme, to compute the fixed-point of a Lipschitz function. The convergence theorem proved is also based on the Leray-Schauder principle, and a partial order relation in \(n\)-dimensional Euclidean space is used. Two numerical examples are presented.
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fixed-point iterations
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Mann's iteration scheme
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Lipschitz functions
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convergence
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partial order
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numerical examples
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