An extension of Argyros' Kantorovich-type solvability theorem for nonlinear equations (Q2910011)
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scientific article; zbMATH DE number 6078941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of Argyros' Kantorovich-type solvability theorem for nonlinear equations |
scientific article; zbMATH DE number 6078941 |
Statements
7 September 2012
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nonlinear equations
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existence theorem
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function splitting
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Newton's method
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generalized Newton method
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iterative solution
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majorant method
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majorizing sequence
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Lipschitz condition
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center-Lipschitz condition
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An extension of Argyros' Kantorovich-type solvability theorem for nonlinear equations (English)
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In this paper, the authors use function splittings and a generalized Newton iterative scheme to derive a generalized Kantorovich-type theorem that generalizes the Kantorovich theorem and Argyros' extension of that theorem. Finally, they give an example that can be solved with the new theorem but not with the other two abovementioned theorems.
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