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Mixed approximation for nonexpansive mappings in Banach spaces - MaRDI portal

Mixed approximation for nonexpansive mappings in Banach spaces (Q963188)

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scientific article; zbMATH DE number 5690929
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Mixed approximation for nonexpansive mappings in Banach spaces
scientific article; zbMATH DE number 5690929

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    Mixed approximation for nonexpansive mappings in Banach spaces (English)
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    8 April 2010
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    Summary: A mixed viscosity approximation scheme is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable norm. A theorem about Halpern type approximation for nonexpansive mappings is also shown.
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    viscosity approximation
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    strong convergence
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    nonexpansive mapping
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