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Discrete regularization for operator equation of Hammerstein's type - MaRDI portal

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Discrete regularization for operator equation of Hammerstein's type (Q1302286)

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scientific article; zbMATH DE number 1340806
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English
Discrete regularization for operator equation of Hammerstein's type
scientific article; zbMATH DE number 1340806

    Statements

    Discrete regularization for operator equation of Hammerstein's type (English)
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    5 July 2000
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    Let \(F_1: X\to X^*\) and \(F_2: X^*\to X\) be nonlinear, hemicontinuous and monotone operators, where \(X\) is a reflexive strictly convex Banach space having the \(E\)-property. The author studies the convergence of a method for solving the operator equations of Hammerstein type: \(x+ F_2F_1(x)= f_0\), \(f_0\in X\).
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    discrete regularization
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    Hammerstein operator
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    integral equation
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    nonlinear, hemicontinuous and monotone operators
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    \(E\)-property
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    operator equations of Hammerstein type
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