Kangtunyakarn, Atid

Preferred name

Kangtunyakarn, Atid

Alternative Name

Kangtunyakarn, A.

Main Affiliation

School of Science

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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Modified Halpern Iteration for Finding a Common Element of the Set of Solutions of Generalized Equilibrium Problem and Fixed Point Problem of Quasi-nonexpansive Mapping
(2025-09-01)
Sripattanet, Anchalee
;
Kangtunyakarn, Atid
In this paper, we introduce an iterative process for finding a common element of the set of solutions of generlized equilibrium problem and the set of fixed points problem of a quasi-nonexpansive mapping without demi-closed condition and T<inf>ω</inf>:= (1 − ω)I + ωT, where T is a quasi-nonexpansive mapping and ω ∈ (0,<sup>1</sup>) in a framework of a real Hilbert space. By using our main result, we obtain 2 strong convergence theorems involving finite families of nonspreading mapping and κ-demicontractive mapping.
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A new subgradient extragradient method for solving the split modified system of variational inequality problems and fixed point problem
(2022-01-01)
Sripattanet, Anchalee
;
Kangtunyakarn, Atid
We introduce a new subgradient extragradient algorithm utilizing the concept of the set of solutions of the split modified system of variational inequality problems (SMSVIP). Our main theorem is weak convergence theorem for such an algorithm for approximating the fixed point problem in a real Hilbert space. We also apply these results to approximate the split minimization problem. In the last section, we provide an example to illustrate the potential of our main theorem.
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An Enhanced Subgradient Extragradient Method for Fixed Points of Quasi-Nonexpansive Mappings Without Demi-Closedness
(2025-09-01)
Sripattanet, Anchalee
;
Kangtunyakarn, Atid
This research focuses on developing a novel approach to finding fixed points of quasi-nonexpansive mappings without relying on the demi-closedness condition, a common requirement in previous studies. The approach is based on the Subgradient Extragradient technique, which builds upon the foundational extragradient method introduced by G.M. Korpelevich. Korpelevich’s method is a widely recognized tool in the fields of optimization and variational inequalities. This study extends Korpelevich’s technique by adapting it to a broader class of operators while maintaining critical convergence properties. This research demonstrates the effectiveness and practical applicability of this new method through detailed computational examples, highlighting its potential to address complex mathematical problems across various domains.
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Approximation of G-variational inequality problems and fixed-point problems of G-κ-strictly pseudocontractive mappings by an intermixed method endowed with a graph
(2023-01-01)
Sripattanet, Anchalee
;
Kangtunyakarn, Atid
In this paper, we first study G-κ-strictly pseudocontractive mappings and we establish a strong convergence theorem for finding the fixed points of two G-κ-strictly pseudocontractive mappings, two G-nonexpansive mappings, and two G-variational inequality problems in a Hilbert space endowed with a directed graph without the Property G. Moreover, we prove an interesting result involving the set of fixed points of a G-κ-strictly pseudocontractive and G-variational inequality problem and if Λ is a G-κ-strictly pseudocontractive mapping, then I− Λ is a G−(1−κ)2 -inverse strongly monotone mapping, shown in Lemma 3.3. In support of our main result, some examples are also presented.
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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.

Kangtunyakarn, Atid

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