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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    Method for Solving Variational Inequality Problems and Fixed Point Problems without Some Well-known Condition
    (2024-01-01)
    Nuisman, Anucha
    ;
    Kangtunyakarn, Atid
    This study presents an innovative method for approximating solutions to the variational inequality and fixed-point problems. The proposed approach deviates from traditional methods by employing different conditions and techniques drawn from [18] [20] [21]. Uniquely, our work circumvents the utilization of a commonly used lemma (see [10]) that forms the basis for most proofs related to strong convergence theorems. As part of our investigation, we provide a comprehensive numerical example to substantiate our findings, thus enhancing the practical relevance and applicability of our research.
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    Strong Convergence for the Modified Split Monotone Variational Inclusion and Fixed Point Problem
    (2022-06-01)
    Khuangsatung, Wongvisarut
    ;
    Kangtunyakarn, Atid
    The purpose of this research is to modify the split monotone variational inclusion problem and prove a strong convergence theorem for finding a common element of the set of solutions of this problem and the set of fixed points of a nonexpansive mapping in Hilbert space. We also apply our main result involving a κ-strictly pseudo-contractive mapping. Moreover, we give the numerical example to support some of our results.
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    Algorithms of Common Solutions to Modified Generalized System of Variational Inclusion Problem and Hierarchical Fixed Point Problem
    (2022-01-01)
    Kheawborisut, Araya
    ;
    Kangtunyakarn, Atid
    This manuscript deals with two problems: the first one is a new problem of the system of variational inclusion that is called modified generalized system of variational inclusion problem(MGSVIP) and the other one is a hierarchical fixed point problem in the framework of real Hilbert space. We estab-lish the important lemma that show the relation between fixed point of nonlinear mapping and solution of MGSVIP for proving the main theorem. To approximate the common solution of these problems, we design an iterative scheme under suitable conditions on parameters. A strong convergence result for the proposed iterative scheme is proved. Applying our main result, we prove strong convergence theorems of the modification system of variational inequalities problem and variational inclusion problem. Moreover, we give the numerical example for supporting our results.
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    Convergence theorem for an intermixed iteration in p-uniformly convex metric space
    (2023-01-01)
    Saechou, Kanyanee
    ;
    Kangtunyakarn, Atid
    In this paper, we first introduce the intermixed algorithm in p-uniformly convex metric spaces, and then we prove Δ-convergence of the proposed iterative method for finding a common element of the sets of fixed points of finite families of nonexpansive mappings in the framework of complete p-uniformly convex metric spaces. Furthermore, we apply our main theorem to prove Δ-convergence to solve the minimization problems in the framework of complete p-uniformly convex metric spaces. Finally, we give two examples in Lp spaces and numerical examples to support our main results.