Strong convergence by a hybrid algorithm for finding a common fixed point of Lipschitz pseudocontraction and strict pseudocontraction in Hilbert spaces (Q638126)
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scientific article; zbMATH DE number 5946512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence by a hybrid algorithm for finding a common fixed point of Lipschitz pseudocontraction and strict pseudocontraction in Hilbert spaces |
scientific article; zbMATH DE number 5946512 |
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Strong convergence by a hybrid algorithm for finding a common fixed point of Lipschitz pseudocontraction and strict pseudocontraction in Hilbert spaces (English)
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9 September 2011
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Summary: We prove a strong convergence theorem by using a hybrid algorithm in order to find a common fixed point of a Lipschitz pseudocontraction and a \(\kappa\)-strict pseudocontraction in Hilbert spaces. Our results extend the recent ones announced by \textit{Y.-H. Yao} et al. [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4997--5002 (2009; Zbl 1222.47128)] and many others.
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strong convergence
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hybrid algorithm
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common fixed point
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Lipschitz pseudocontraction
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\(\kappa\)-strict pseudocontraction
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Hilbert space
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pseudo-contractive mapping
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