Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations (Q1586258)
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scientific article; zbMATH DE number 1528530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations |
scientific article; zbMATH DE number 1528530 |
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Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations (English)
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13 November 2000
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Let \(K\) be a closed convex nonempty subset of a Hilbert space \(H\) and let \(T: K\to K\) be a Lipschitz pseudocontraction mapping with a nonempty set of fixed points. Weak and strong convergence theorems for iterative approximations of fixed points are proved. Some applications to monotone operators in Hilbert spaces are presented.
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Lipschitz pseudocontraction
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fixed points
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iterative approximations
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monotone operators in Hilbert spaces
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