Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces (Q1599105)
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scientific article; zbMATH DE number 1749662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces |
scientific article; zbMATH DE number 1749662 |
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Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces (English)
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2 July 2002
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The authors suggest a new class of three step iterative schemes for solving nonlinear equations \(Tx=x\) with asymptotically nonexpansive mappings in Banach spaces. The Ishikawa-type and Mann-type iteration schemes are included as particular cases. The convergence of the new schemes is proved.
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three step iterations
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asymptotically nonexpansive mappings
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uniformly convex Banach spaces
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Mann-type and Ishikawa-type iterations
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