Kangtunyakarn, Atid

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

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    Item type:Publication,
    A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
    (2015-12-01)
    Cheawchan, Kanyarat
    ;
    Suantai, Suthep
    ;
    Kangtunyakarn, Atid
    For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium problems, and the set of solutions of a modified system of variational inequalities without demiclosed condition of W and W<inf>ω</inf>:=(1−ω)I+ωW, where W is a quasi-nonexpansive mapping and (Formula presented.) in the framework of Hilbert space. By using our main result, we obtain a strong convergence theorem involving a finite family of nonspreading mappings and another corollary. Moreover, we give a numerical example to encourage our main theorem.