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 51

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Hybrid algorithm for finding common elements of the set of generalized equilibrium problems and the set of fixed point problems of strictly pseudocontractive mapping
(2011-03-07)
Kangtunyakarn, Atid
The purpose of this paper is to prove the strong convergence theorem for finding a common element of the set of fixed point problems of strictly pseudocontractive mapping in Hilbert spaces and two sets of generalized equilibrium problems by using the hybrid method. Copyright © 2011 Atid Kangtunyakarn.
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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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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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Convergence theorem of common fixed points for a family of nonspreading mappings in Hilbert space
(2012-06-01)
Kangtunyakarn, Atid
We introduce the concept of K-mapping of a finite family of nonspreading mappings {T <inf>i</inf>} <sup>N</sup> <inf>i=1</inf> and we show that the fixed point set of the K-mapping is the set of common fixed points of {T <inf>i</inf>} <sup>N</sup> <inf>i=1</inf>. Moreover, we prove strong convergence theorem of the Ishikawa iterative process to a common fixed point of a finite family of nonspreading mappings in Hilbert space under certain control conditions. © 2011 Springer-Verlag.
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Modified Halpern’s iteration for fixed point theory of a finite family of G-nonexpansive mappings endowed with graph
(2018-04-01)
Kangtunyakarn, Atid
The aim of this research is to introduce G–S-mapping generated by a finite family of G-nonexpansive mappings and finite real numbers and prove a convergence theorem of Halpern iteration associated with G–S-mapping for fixed point problem of a finite family of G-nonexpansive mapping in Hilbert spaces endowed with graph, which extends the work of Tiammee et al. (Fixed Point Theory Appl. 2015:187, 2015). Moreover, we introduce a new method for the estimation of value of π using our theorem.
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A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem
(2011-06-22)
Kangtunyakarn, Atid
We introduce a new iterative scheme and a new mapping generated by infinite family of nonexpansive mappings and infinite real number. By using both of these ideas, we obtain strong convergence theorem for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of fixed-point problems of infinite family of nonexpansive mappings. Moreover, we apply our main result to obtain strong convergence theorems for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of common fixed point of pseudocontractive mappings. Copyright © 2011 Atid Kangtunyakarn.
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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 new iterative scheme for fixed point problems of infinite family of κ i-pseudo contractive mappings, equilibrium problem, variational inequality problems
(2013-08-01)
Kangtunyakarn, Atid
In this paper, we modify the set of variational inequality to construct a new iterative scheme for finding a common element of the set of fixed point problems of infinite family of κ <inf>i</inf> -pseudo-contractive mappings and the set of equilibrium problem and two set of variational inequality problems. © 2012 Springer Science+Business Media, LLC.
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Iterative methods for finding common solution of generalized equilibrium problems and variational inequality problems and fixed point problems of a finite family of nonexpansive mappings
(2010-12-01)
Kangtunyakarn, Atid
We introduce a new method for a system of generalized equilibrium problems, system of variational inequality problems, and fixed point problems by using S -mapping generated by a finite family of nonexpansive mappings and real numbers. Then, we prove a strong convergence theorem of the proposed iteration under some control condition. By using our main result, we obtain strong convergence theorem for finding a common element of the set of solution of a system of generalized equilibrium problems, system of variational inequality problems, and the set of common fixed points of a finite family of strictly pseudocontractive mappings. Copyright © 2010 Atid Kangtunyakarn.
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Convergence theorem for solving the combination of equilibrium problems and fixed point problems in Hilbert spaces
(2016-01-01)
Suwannaut, Sarawut
;
Kangtunyakarn, Atid
In this article, we propose an iterative algorithm for approximating a common element of solution sets of equilibrium problems, the fixed point sets of nonspreading mappings and the fixed point sets of κ<inf>i</inf>-strictly pseudo contractive mappings in Hilbert spaces. Furthermore, we prove that the proposed iterative scheme converges strongly to a common element of those three sets. Finally, to support our main results, the numerical examples are given.

Kangtunyakarn, Atid

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