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 11

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The theory of the feasibility problems and fixed point problems of nonlinear mappings
(2019-08-01)
Premjitpraphan, Sirawit
;
Kangtunyakarn, Atid
In this paper, the authors extend and improve some results of Hamdi [Hamdi, A., Liou, Y.C., Yao, Y. and Luo, C.: The common solutions of the split feasibility problems and fixed point problems. Journal of Inequalities and Applications (2015) 2015:385 DOI10.1186/s13660-015-0870-6] by using the concept of lemma 2.11 Suwannaut and Kangtunyakarn [Suwannaut, S. and Kangtunyakarn, A.: The combination of the set of solutions of equilibrium problem for convergence theorem of the set of fixed points of strictly pseudo-contractive mappings and variational inequalities problem. Fixed Point Theory and its Applications (2013) 2013:291]. Then they prove strong convergence theorem of the proposed iteration under some control condition. Moreover, we use S-mapping in application with our main result.
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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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A three-intermixed algorithm for common fixed point problems with applications to convex optimization and network allocation
(2026-07-01)
Saechou, Kanyanee
;
Kangtunyakarn, Atid
This study investigates a new algorithm, termed the three-intermixed algorithm, developed from the intermixed algorithm introduced by Yao et al. (Fixed Point Theory Appl 206, 2015). A strong convergence theorem is established for finding a common element in the set of fixed points of nonexpansive mappings. To illustrate our main theorem, we provide an example in R2 along with a graphical representation showing the behavior of the sequences {xn},{yn}, and {zn}. Beyond theoretical development, the applicability of the main theorem is demonstrated through several important problems, including the convex minimization problem, the split feasibility problem, and both general and new systems of variational inequality problems. In addition, a special case of the main theorem is applied to the network bandwidth allocation problem. A detailed numerical example is presented to show how the proposed iterative scheme can be used to compute a proportionally fair allocation under capacity and minimum rate constraints, thereby confirming the practical efficiency of the method.
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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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A theorem for solving Banach generalized system of variational inequality problems and fixed point problem in uniformly convex and 2-uniformly smooth Banach space
(2021-04-01)
Chaloemyotphong, Bunyawee
;
Kangtunyakarn, Atid
In this paper, we consider a Banach generalized system of variational inequality problems by using the concept of Kangtunyakarn (Fixed Point Theory Appl 2014:123, 2014) and showed the equivalence between a Banach generalized system of variational inequality problems and fixed point problems. And also, using modified viscosity iterative method, we prove a strong convergence theorem for finding a common solution of a Banach generalized system of variational inequality problems and fixed point problems for a nonexpansive mapping. The main theorem presented in this paper extend the corresponding result of variational inequality problems introduced by Aoyama et al. (Fixed Point Theory Appl 2006:35390, https://doi.org/10.1155/FPTA/2006/35390, 2006). Moreover, we give some numerical examples for supporting our main theorem.
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The method for solving the extension of general of the split feasibility problem and fixed point problem of the cutter
(2022-01-01)
Saechou, Kanyanee
;
Kangtunyakarn, Atid
This paper first introduces a new iterative method for weak and strong convergence theorem to demonstrate the estimation potential for a fixed point of the cutter and the finite general split feasibility problem. Consequently, the set of fixed points of a quasi-nonexpansive mapping and the finite general split feasibility problem, the constrained minimization problem, and the general constrained minimization problems are proved using our main results. Finally, we give two numerical examples to advocate our main results.
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The applications of modified generalized mixed equilibrium problems to nonlinear problems
(2016-01-01)
Khuangsatung, Wongvisarut
;
Kangtunyakarn, Atid
From the concept of generalizedmixed equilibrium problems, we intro- duce a new problem to prove a strong convergence theorem for finding a common element of the set of fixed point of an infinite family of nonexpansive mappings and the set of a finite family of generalized mixed equilibrium problems in Hilbert space. We also apply our main result for generalized equilibrium problems and variational inequality problems.
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Iterative approximation method for various nonlinear mappings and equilibrium problems with numerical example
(2017-01-01)
Khuangsatung, Wongvisarut
;
Kangtunyakarn, Atid
In this paper, we prove strong convergence of a new iterative algorithm for finding a common element of the set of fixed points of a finite family of nonspreading mappings, the set of solutions of a finite family of equilibrium problems and the set of solutions of two variational inequality problems in a real Hilbert space. In the last section, we give the numerical example to support our result.
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Modified halpern iterative method for solving hierarchical problem and split combination of variational inclusion problem in hilbert space
(2019-11-01)
Chaloemyotphong, Bunyawee
;
Kangtunyakarn, Atid
The purpose of this paper is to introduce the split combination of variational inclusion problem which combines the concept of the modified variational inclusion problem introduced by Khuangsatung and Kangtunyakarn and the split variational inclusion problem introduced by Moudafi. Using a modified Halpern iterative method, we prove the strong convergence theorem for finding a common solution for the hierarchical fixed point problem and the split combination of variational inclusion problem. The result presented in this paper demonstrates the corresponding result for the split zero point problem and the split combination of variation inequality problem. Moreover, we discuss a numerical example for supporting our result and the numerical example shows that our result is not true if some conditions fail.
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Iterative scheme for finding solutions of the general split feasibility problem and the general constrained minimization problems
(2019-01-01)
Kangtunyakarn, Atid
Inspired by the works of [11], [6], and [14], we introduce a method to solve solution of the general split feasibility problem. In the last section, we give the general constrained minimization problem and a lemma to show the relationship between these problems. The method utilized to solve this problem is presented. Our results expand some results of Ceng, Ansari and Yao [2] and modify the results of Xu [17].

Kangtunyakarn, Atid

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