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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41675

    Title: Iteration of fixed point on hyperspaces
    Authors: Hu, Thakyin;Huang, Jui-chi
    Contributors: 淡江大學數學學系
    Keywords: Iteration process;Fixed point;Hyperspace;Nonexpansive mapping
    Date: 1997-04
    Issue Date: 2010-01-28
    Publisher: Fudan University Press
    Abstract: L et X be a compact, convex subset of a Banach space E and CC (X ) be the co l2
    lection of all non2emp ty compact, coonvex subset of X equipped w ith the H ausdo rff
    m etric h. Suppo se ϑis a compact, convex subset of CC (X ) and T : (ϑ, h)  (ϑ, h) is
    a nonexpansive m app ing. T hen fo r anyA 0 ∈ϑ, the sequence {A n } defined byA n+ 1 =
    (A n + TA n )ö2 converges to a fixed po int of T. T he special case that ϑconsists of sin2
    gletons only yields results p reviously obtained by H. Schaefer, M. Edelstein and S.
    Ish ikaw a respectively
    Relation: Chinese Annals of Mathematics Series B 18(B4), pp.423-428
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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