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,
    Convergence theorem for solving the combination of equilibrium problems and fixed point problems in Hilbert spaces
    (2016-01-01)
    Suwannaut, Sarawut
    ;
    Kangtunyakarn, Atid
    In this article, we propose an iterative algorithm for approximating a common element of solution sets of equilibrium problems, the fixed point sets of nonspreading mappings and the fixed point sets of κ<inf>i</inf>-strictly pseudo contractive mappings in Hilbert spaces. Furthermore, we prove that the proposed iterative scheme converges strongly to a common element of those three sets. Finally, to support our main results, the numerical examples are given.
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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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    Item type:Publication,
    On Approximation of the Combination of Variational Inequality Problem and Equilibrium Problem for Nonlinear Mappings
    (2021-12-01)
    Suwannaut, Sarawut
    ;
    Kangtunyakarn, Atid
    Using the concept of the combination of equilibrium problem, we introduce the combination of variational inequality problem for a finite family of inverse-strongly monotone mappings. Under some control conditions, we prove the strong convergence theorem for these nonlinear problems and fixed points of nonspreading mapping. Finally, we give numerical examples in two-dimensional space of real numbers in order to compare numerical results between the combination of variational inequality problem and the variational inequality problem.