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,
    The modified split generalized equilibrium problem for quasi-nonexpansive mappings and applications
    (2018-01-01)
    Cheawchan, Kanyarat
    ;
    Kangtunyakarn, Atid
    In this paper, we introduce a new problem, the modified split generalized equilibrium problem, which extends the generalized equilibrium problem, the split equilibrium problem and the split variational inequality problem. We introduce a new method of an iterative scheme { x<inf>n</inf>} for finding a common element of the set of solutions of variational inequality problems and the set of common fixed points of a finite family of quasi-nonexpansive mappings and the set of solutions of the modified split generalized equilibrium problem without assuming a demicloseness condition and T<inf>ω</inf>: = (1 − ω) I+ ωT, where T is a quasi-nonexpansive mapping and ω∈(0,12); a difficult proof in the framework of Hilbert space. In addition, we give a numerical example to support our main result.
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    Approximation method for fixed points of nonlinear mapping and variational inequalities with application
    (2015-12-01)
    Cheawchan, Kanyarat
    ;
    Kangtunyakarn, Atid
    In this paper, we introduce the new method of iterative scheme {x<inf>n</inf>} for finding a common element of the set of fixed points of a quasi-nonexpansive mapping and the set of solutions of a modified system of variational inequali- ties without demiclose condition and T<inf>ω</inf> := (1 − ω)I + ωT, when T is a quasi- nonexpansive mapping and ω ∈ (0, 1/2) in a framework of Hilbert space. Using our main result, we obtain strong convergence theorems involving a finite family of nonspreading mapping and another corollary.