Kangtunyakarn, Atid

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The method for solving variational inequality problems with numerical results
(2019-03-04)
Suwannaut, Sarawut
;
Suantai, Suthep
;
Kangtunyakarn, Atid
Using the concept of variational inequality method, we introduce the iterative scheme for finding a common element of the set of fixed point of a κ-strictly pseudo-contractive mapping and four sets of solutions of variational inequality problems. Furthermore, by using our main result, we give the numerical examples for supporting our results.
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Strong convergence theorem for the modified generalized equilibrium problem and fixed point problem of strictly pseudo-contractive mappings
(2014-01-01)
Suwannaut, Sarawut
;
Kangtunyakarn, Atid
The purpose of this paper is to modify the generalized equilibrium problem introduced by Ceng et al. (J. Glob. Optim. 43:487-502, 2012) and to introduce the K-mapping generated by a finite family of strictly pseudo-contractive mappings and finite real numbers modifying the results of Kangtunyakarn and Suantai (Nonlinear Anal. 71:4448-4460, 2009). Then we prove the strong convergence theorem for finding a common element of the set of fixed points of a finite family of strictly pseudo-contractive mappings and a finite family of the set of solutions of the modified generalized equilibrium problem. Moreover, using our main result, we obtain the additional results related to the generalized equilibrium problem. © 2014 Suwannaut and Kangtunyakarn; licensee Springer.
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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
(2013-01-01)
Suwannaut, Sarawut
;
Kangtunyakarn, Atid
For the purpose of this article, we introduce a new problem using the concept of equilibrium problem and prove the strong convergence theorem for finding a common element of the set of fixed points of an infinite family of κ<inf>i</inf>-strictly pseudo contractive mappings and of a finite family of the set of solutions of equilibrium problem and variational inequalities problem. Furthermore, we utilize our main theorem for the numerical example. ©2013 Suwannaut and Kangtunyakarn; licensee Springer.

Kangtunyakarn, Atid

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