On a continuous third-order method for monotone operator equations in Hilbert space (Q721874)
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scientific article; zbMATH DE number 6908996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a continuous third-order method for monotone operator equations in Hilbert space |
scientific article; zbMATH DE number 6908996 |
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On a continuous third-order method for monotone operator equations in Hilbert space (English)
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20 July 2018
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This paper is concerned with solving a nonlinear monotone operator equation in a Hilbert space. Continuous methods are important in this context and the authors discuss a~continuous third order method. The paper aims to demonstrate the technique of construction of the solution and provide a proof of strong convergence of methods of order greater than two. The method considered (of order three) provides an example of application the more general result.
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strongly monotone operator
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Lipschitz condition
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continuous method
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Cauchy problem
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strong convergence
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