On variational inclusion and common fixed point problems in Hilbert spaces with applications (Q613220)

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scientific article; zbMATH DE number 5828080
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On variational inclusion and common fixed point problems in Hilbert spaces with applications
scientific article; zbMATH DE number 5828080

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    On variational inclusion and common fixed point problems in Hilbert spaces with applications (English)
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    20 December 2010
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    An iterative method is developed for finding a common element of the set of common fixed points of an infinite family of nonexpasive mappings and of the set of solutions to the so-called quasi-variational inclusion problem with multivalued maximal monotone mapping and inverse-strongly mappings. Theorems regarding strong convergence of sequences generated by the proposed iterative scheme are given in the framework of Hilbert spaces.
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    fixed point
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    nonexpansive mapping
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    quasi-variational inclusion
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    variational inequality
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