Convergence of implicit and explicit schemes for an asymptotically nonexpansive mapping in \(q\)-uniformly smooth and strictly convex Banach spaces (Q1760700)
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scientific article; zbMATH DE number 6106220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of implicit and explicit schemes for an asymptotically nonexpansive mapping in \(q\)-uniformly smooth and strictly convex Banach spaces |
scientific article; zbMATH DE number 6106220 |
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Convergence of implicit and explicit schemes for an asymptotically nonexpansive mapping in \(q\)-uniformly smooth and strictly convex Banach spaces (English)
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15 November 2012
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Summary: We introduce a new iterative scheme with Meir-Keeler contractions for an asymptotically nonexpansive mapping in \(q\)-uniformly smooth and strictly convex Banach spaces. We also prove strong convergence theorems of implicit and explicit schemes. The results obtained in this paper extend and improve many recent ones announced by many others.
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Meir-Keeler contractions
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strong convergence
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implicit schemes
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