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,
    Existence and convergence theorem for fixed point problem of various nonlinear mappings and variational inequality problems without some assumptions
    (2018-01-01)
    Khuangsatung, Wongvisarut
    ;
    Kangtunyakarn, Atid
    The purpose of this article, we give a necessary and sufficient condition for the modified Mann iterative process in order to obtain a strong convergence theorem for finding a common element of the set of fixed point of a finite family of nonexpansive mappings and variational inequality problem in Hilbert space without the conditions (Formula presented). Moreover, we utilize our main result to fixed point problems of strictly pseudocontractive mappings and the set of solutions of variational inequality problem.
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    A method for solving the variational inequality problem and fixed point problems in Banach spaces
    (2021-04-14)
    Khuangsatung, Wongvisarut
    ;
    Kangtunyakarn, Atid
    The purpose of this research is to modify Halpern iteration’s process for finding a common element of the set of solutions of a variational inequality problem and the set of fixed points of a strictly pseudo contractive mapping in q-uniformly smooth Banach space. We also introduce a new technique to prove a strong convergence theorem for a finite family of strictly pseudo contractive mappings in q-uniformly smooth Banach space. Moreover, we give a numerical result to illustrate the main theorem.