The approximate solution of monotone nonlinear operator equations (Q1822037)

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scientific article; zbMATH DE number 4000826
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The approximate solution of monotone nonlinear operator equations
scientific article; zbMATH DE number 4000826

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    The approximate solution of monotone nonlinear operator equations (English)
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    1986
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    This paper is concerned with nonlinear equations involving monotone operators and compact perturbations of monotone operators. Projection methods determine approximate solutions. Such equations are put into the more general framework of regular operator approximation theory, which yields the convergence of approximate solutions under minimal hypothesis. Nonlinear integral equations of Urysohn type illustrate the theory.
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    nonlinear equations involving monotone operators
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    compact perturbations of monotone operators
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    Projection methods
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    approximate solutions
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    regular operator approximation
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    Nonlinear integral equations of Urysohn type
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