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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    Convergence theorem of two sequences for solving the modified generalized system of variational inequalities and numerical analysis
    (2019-10-01)
    Sripattanet, Anchalee
    ;
    Kangtunyakarn, Atid
    The purpose of this paper is to introduce an iterative algorithm of two sequences which depend on each other by using the intermixed method. Then, we prove a strong convergence theorem for solving fixed-point problems of nonlinear mappings and we treat two variational inequality problems which form an approximate modified generalized system of variational inequalities (MGSV). By using our main theorem, we obtain the additional results involving the split feasibility problem and the constrained convex minimization problem. In support of our main result, a numerical example is also presented.
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    The Three-step Intermixed Iteration for Two Finite Families of Nonlinear Mappings in a Hilbert Space
    (2022-01-01)
    Suwannaut, Sarawut
    ;
    Kangtunyakarn, Atid
    In this work, the three-step intermixed iteration for two finite families of non- linear mappings is introduced. We prove a strong convergence theorem for approximating a common fixed point of a strict pseudo-contraction and strictly pseudononspreading map- ping in a Hilbert space. Some additional results are obtained. Finally, a numerical example in a space of real numbers is also given and illustrated.
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    Convergence theorem for solving a new concept of the split variational inequality problems and application
    (2020-10-01)
    Sripattanet, Anchalee
    ;
    Kangtunyakarn, Atid
    In this paper, we propose the split of modified variational inequality problems (SMVIP), by using the concept of the modified generalized system of variational inequalities (MGSV). Then, we prove the strong convergence theorem for solving fixed point problems of nonlinear mappings and two variational inequality problems and solving the SMVIP. Applying our main result, we prove strong convergence theorems of the split minimization problem and the split variational inequality problem. In support of our main result, a numerical example is also presented.