Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings (Q2458529)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings |
scientific article |
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Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings (English)
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1 November 2007
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Let \(C\) be a subset of a normed space \(X\). A nonself-mapping \(T:C\to X\) is said to be nonexpansive if \(\| Tx-Ty\| \leq\| x-y\| \) for all \(x\in C\). The authors introduce a new three-step iteration with errors for approximating a fixed point of a nonexpansive nonself-mapping in a uniformly convex Banach space.
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nonexpansive nonself-mapping
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uniformly convex Banach space
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completely continuous
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uniformly convex
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Opial's condition
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condition (A)
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