Iterative approximation of fixed points of Lipschitz pseudocontractive maps (Q2718997)
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scientific article; zbMATH DE number 1597888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterative approximation of fixed points of Lipschitz pseudocontractive maps |
scientific article; zbMATH DE number 1597888 |
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Iterative approximation of fixed points of Lipschitz pseudocontractive maps (English)
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14 May 2001
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pseudocontractive operators
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\(q\)-uniformly smooth spaces
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duality maps
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weak sequential continuity.
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iterative approximation
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fixed point
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Let \(E\) be a \(q\)-uniformly smooth Banach space with a weakly sequentially continuous duality map and \(T\) be a Lipschitzian pseudocontractive selfmapping of a nonempty closed bounded and assume \(\chi\) be in \(K\). The author's gives an iterative approximation method for a fixed point of \(T\). If \(E\) is a Hilbert space the approximation converges to the fixed point closest to \(\chi\).
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