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Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings - MaRDI portal

Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings (Q2458529)

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Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings
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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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