Kangtunyakarn, Atid

Loading...
Thumbnail Image
Preferred name
Kangtunyakarn, Atid
Alternative Name
Kangtunyakarn, A.
Main Affiliation
Email
atid.ka@kmitl.ac.th

Settings

Now showing 1 - 4 of 4
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Algorithm method for solving the split general system of variational inequalities problem and fixed point problem of nonexpansive mapping with application
    (2018-01-01)
    Siriyan, Keerati
    ;
    Kangtunyakarn, Atid
    The purpose of this research is to introduce the split general system of variational inequalities problem, by using the concept of the general system of variational inequalities problem in Ceng et al. Then, we establish 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 for the first time in this research. By using ourmain theorem, strong convergence theorems of the split feasibility problem, the split variational inequality problem, and the minimization problem are obtained, respectively. In order to show the potential of our main result, we give three numerical examples of these classical problems introduced by previous studies, with the numerical example of our main theorem to compare the rate of convergence.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Convergence analysis for relaxed extragradient method and variational inequality problem with numerical example
    (2018-04-01)
    Siriyan, Keerati
    ;
    Kangtunyakarn, Atid
    The purpose of this paper is to introduce an iterative method for finding a common element of fixed point of nonexpansive mapping which is generated by the general system of variational inequalities with inverse strongly monotone mappings and the set of the solution of variational inequality. By using our main result, we obtain the strong convergence theorem of the proposed iterative method and another corollary in a real Hilbert space.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Fixed point results in convex metric spaces
    (2019-06-01)
    Siriyan, Keerati
    ;
    Kangtunyakarn, Atid
    The purpose of this paper is to establish and prove a strong convergence theorem of Ishikawa iterative for finding a common fixed point of the combination of a finite family of nonexpansive mappings in a convex metric space. Moreover, our result generalizes and modifies the other result, Phuengrattana and Suantai’s result Phuengrattana and Suantai (Ind J Pure Appl Math 45(1):121–136, 2014).
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    A new general system of variational inequalities for convergence theorem and application
    (2019-05-01)
    Siriyan, Keerati
    ;
    Kangtunyakarn, Atid
    In this present paper, we propose a modified form of generalized system of variational inequalities and introduce an iterative scheme for finding a common element of the set of fixed points of nonexpansive mapping and the solution set of the proposed problem in the framework of real Hilbert spaces. We prove a strong convergence theorem of the proposed iterative scheme. Applying our main result, we prove strong convergence theorems of the standard constrained convex optimization problem and the split feasibility problem. In support of our main result, a numerical example is also presented.