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Weak and strong convergence of an algorithm for the split common fixed-point of asymptotically quasi-nonexpansive operators - MaRDI portal

Weak and strong convergence of an algorithm for the split common fixed-point of asymptotically quasi-nonexpansive operators (Q473910)

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scientific article; zbMATH DE number 6372560
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Weak and strong convergence of an algorithm for the split common fixed-point of asymptotically quasi-nonexpansive operators
scientific article; zbMATH DE number 6372560

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    Weak and strong convergence of an algorithm for the split common fixed-point of asymptotically quasi-nonexpansive operators (English)
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    24 November 2014
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    Summary: Inspired by [\textit{A. Moudafi}, Inverse Probl. 26, No. 5, Article ID 055007, 6 p. (2010; Zbl 1219.90185)], we propose an algorithm for solving the split common fixed-point problem for a wide class of asymptotically quasi-nonexpansive operators and the weak and strong convergence of the algorithm are shown under some suitable conditions in Hilbert spaces. The algorithm and its convergence results improve and develop previous results for split feasibility problems.
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