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Strong convergence algorithms for hierarchical fixed points problems and variational inequalities - MaRDI portal

Strong convergence algorithms for hierarchical fixed points problems and variational inequalities (Q642745)

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scientific article; zbMATH DE number 5964432
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Strong convergence algorithms for hierarchical fixed points problems and variational inequalities
scientific article; zbMATH DE number 5964432

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    Strong convergence algorithms for hierarchical fixed points problems and variational inequalities (English)
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    27 October 2011
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    Summary: We introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of nonexpansive mappings in a Hilbert space such that the common fixed-point is a solution of a hierarchical fixed-point problem. Our results extend the ones of Moudafi, Xu, Cianciaruso et al., and Yao et al.
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    iterative scheme
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    nonexpansive mappings in a Hilbert space
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    hierarchical fixed- point problem
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