Kangtunyakarn, Atid

Preferred name

Kangtunyakarn, Atid

Alternative Name

Kangtunyakarn, A.

Main Affiliation

School of Science

atid.ka@kmitl.ac.th

Now showing 1 - 10 of 15

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An intermixed algorithm for solving fixed point problems of proximal operators in Hilbert Spaces
(2024-01-01)
Khuangsatung, Wongvisarut
;
Kangtunyakarn, Atid
The aim of this paper is to modify proximal operators in Hilbert spaces. We introduce an inter-mixed algorithm with viscosity technique to find the solution of fixed point problem of two proximal operators in a real Hilbert space, utilizing the modified proximal operators. Under some mild conditions, a strong convergence theorem is established for the proposed algorithm. We also apply our main result to the split feasibility problem. Finally we provide numerical examples for supporting the main result.
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The modification of generalized mixed equilibrium problems for convergence theorem of variational inequality problems and fixed point problems
(2021-03-01)
Khuangsatung, Wongvisarut
;
Suantai, Suthep
;
Kangtunyakarn, Atid
The purpose of this research, we modify generalized mixed equilibrium problems and prove a strong convergence theorem for approximating a common element of the set of such a problem and variational inequality problems and the set of fixed points of infinite family of strictly pseudo contractive mappings. Utilizing our main result, we also prove a strong convergence theorem involving generalized equilibrium problems and variational inequality problems.
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Strong convergence theorems for the modified variational inclusion problems and various nonlinear mappings in hilbert space
(2016-01-01)
Khuangsatung, Wongvisarut
;
Kangtunyakarn, Atid
In this paper, we prove a strong convergence theorem for finding a common element of the set of fixed points of a finite family of κ-strictly pseudonon-spreading mappings and the set of solutions of a finite family of variational inclusion problems and the set of solution of generalized equilibrium problem in Hilbert space. By using our main result, we give the numerical example to support some of our results.
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Iterative algorithms with the regularization for the constrained convex minimization problem and maximal monotone operators
(2017-10-03)
Khuangsatung, Wongvisarut
;
Kangtunyakarn, Atid
In this paper, we prove a strong convergence theorem for finding a common element of the solution set of a constrained convex minimization problem and the set of solutions of a finite family of variational inclusion problems in Hilbert space. A strong convergence theorem for finding a common element of the solution set of a constrained convex minimization problem and the solution sets of a finite family of zero points of the maximal monotone operator problem in Hilbert space is also obtained. Using our main result, we have some additional results for various types of non-linear problems in Hilbert space.
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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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An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems
(2023-01-01)
Khuangsatung, Wongvisarut
;
Kangtunyakarn, Atid
In this paper, we introduce an intermixed algorithm with viscosity technique for finding a common solution of the combination of mixed variational inequality problems and the fixed-point problem of a nonexpansive mapping in a real Hilbert space. Moreover, we propose the mathematical tools related to the combination of mixed variational inequality problems in the second section of this paper. Utilizing our mathematical tools, a strong convergence theorem is established for the proposed algorithm. Furthermore, we establish additional conclusions concerning the split-feasibility problem and the constrained convex-minimization problem utilizing our main result. Finally, we provide numerical experiments to illustrate the convergence behavior of our proposed algorithm.
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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.
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Algorithm of a new variational inclusion problem and strictly pseudononspreading mapping with application
(2014-12-22)
Khuangsatung, Wongvisarut
;
Kangtunyakarn, Atid
The purpose of this research is to modify the variational inclusion problems and prove a strong convergence theorem for finding a common element of the set of fixed points of a κ-strictly pseudononspreading mapping and the set of solutions of a finite family of variational inclusion problems and the set of solutions of a finite family of equilibrium problems in Hilbert space. By using our main result, we prove a strong convergence theorem involving a κ-quasi-strictly pseudo-contractive mapping in Hilbert space. We give a numerical example to support some of our results.
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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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The new variational inclusion problems for fixed point theorem
(2015-01-01)
Khuangsatung, Wongvisarut
;
Kangtunyakarn, Atid
For the purpose of this article, we modify the variational inclusion problems and prove the strong convergence theorem for approximating a common element of two sets of solutions of variational inclusion problems, variational inequality problem and the set of fixed points of a nonexpansive mapping without the conditions ∑<inf>n=l</inf><sup>∞</sup> α<inf>n</inf> = ∞ and lim<inf>n→∞</inf>α<inf>n</inf> = 0 in a framework of Hilbert space.

Kangtunyakarn, Atid

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