Strong convergence theorem for two commutative asymptotically nonexpansive mappings in Hilbert space (Q1008548)
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scientific article; zbMATH DE number 5534771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence theorem for two commutative asymptotically nonexpansive mappings in Hilbert space |
scientific article; zbMATH DE number 5534771 |
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Strong convergence theorem for two commutative asymptotically nonexpansive mappings in Hilbert space (English)
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30 March 2009
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Summary: Let \(C\) be a bounded closed convex subset of a Hilbert space \(H\) and \(T,S:C\rightarrow C\) be two asymptotically nonexpansive mappings such that \(ST=TS\). We establish a strong convergence theorem for \(S\) and \(T\) in Hilbert space by a hybrid method. The results generalize and unify many corresponding results.
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strong convergence
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asymptotically nonexpansive mappings
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hybrid approximation scheme
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Hilbert space
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