A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations (Q292852)
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scientific article; zbMATH DE number 6590297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations |
scientific article; zbMATH DE number 6590297 |
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A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations (English)
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9 June 2016
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The Browder-Tikhonov regularization method is studied. The authors propose a method for the finding of a common solution for a system of nonlinear ill-posed equations with potential, hemicontinuous and monotone mappings in Banach spaces. A principle named quasi-residual is proposed, for the choice of a value of the regularization parameter and an estimate of convergence rates for the regularized solutions is demonstrated.
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Browder-Tikhonov regularization method
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strictly convex Banach space
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Fréchet differentiable
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monotone operators
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hemicontinuous
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nonlinear monotone ill-posed operator equations
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convergence
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0.88741076
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0.8872638
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