Viscosity approximation methods for nonexpansive multimaps in Banach spaces (Q606283)

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scientific article; zbMATH DE number 5816558
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Viscosity approximation methods for nonexpansive multimaps in Banach spaces
scientific article; zbMATH DE number 5816558

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    Viscosity approximation methods for nonexpansive multimaps in Banach spaces (English)
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    17 November 2010
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    The paper proves strong convergence results by a viscosity approximation process for a nonexpansive nonself multivalued mapping \(T\) with compact values in uniformly convex Banach spaces. The hypotheses of the results do not contain a condition on the existence of a strict fixed point for \(T\).
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    viscosity approximation method
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    Nadler contraction
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    strong convergence
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    nonexpansive retract
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    Banach spaces
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    fixed point
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    inwardness
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    nonexpansive multimap
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