Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces (Q854063)

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scientific article; zbMATH DE number 5078939
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Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces
scientific article; zbMATH DE number 5078939

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    Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces (English)
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    7 December 2006
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    The author studies implicit and explicit viscosity-like methods for finding specific fixed points of infinite countable families of nonexpansive self-mappings in Hilbert spaces. He obtains strong convergence results. His results are of practical interest from the numerical point of view.
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    viscosity method
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    nonexpansive mapping
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    common fixed point
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    convex optimization
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    strong convergence
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    nearest point projection
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    Hilbert space
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