Kangtunyakarn, Atid

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Kangtunyakarn, Atid
Alternative Name
Kangtunyakarn, A.
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Email
atid.ka@kmitl.ac.th

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    Item type:Publication,
    Modified Halpern’s iteration without assumptions on fixed point set in metric space
    (2019-01-01)
    Cheawchan, Kanyarat
    ;
    Kangtunyakarn, Atid
    By improving Halpern’s iteration and studing convergence theorem of [1] and [2] in a complete uniformly convex metric space, we prove convergence theorem of a finite family of nonexpansive mappings without the assumption that “the set of common fixed points of nonexpansive mappings is nonempty”. We also introduce a mapping in metric space using a concept of the S-mapping defined by [3] for proving our main results.