A unified approach for solving equations. I: On infinite-dimensional spaces (Q2702476)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unified approach for solving equations. I: On infinite-dimensional spaces |
scientific article |
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14 May 2002
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nonlinear operator equation
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infinite dimensions
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local approximation
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existence
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uniqueness
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monotone convergence
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Banach spaces
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error analysis
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Newton-Kantorovich methods
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nonlinear integral equations
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radiation heat transfer
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A unified approach for solving equations. I: On infinite-dimensional spaces (English)
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The author provides a unified approach towards local approximation of solutions of nonlinear operator equations on infinite-dimensional Banach spaces. Existence and uniqueness theorems are proved and truncation error analysis is presented for Newton-Kantorovich methods. Particular conditions are identified, under which results lead to favourable comparisons other results already published. Among others, applications for nonlinear integral equations used to model radiation heat transfer are used to illustrate the general theory.NEWLINENEWLINEFor the entire collection see [Zbl 0954.65001].
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