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Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space - MaRDI portal

Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space (Q2372160)

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Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
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    Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space (English)
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    25 July 2007
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    The authors use a Halpern-type iteration to approximate a common fixed point of a countable family of nonexpansive mappings with some additional conditions in a uniformly convex Banach space whose norm is uniformly Gâteaux differentiable. They also apply the result to the problem of finding a zero of an accretive operator.
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    fixed point
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    nonexpansive mapping
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    Halpern iteration
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    accretive operator
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