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  4. Convergence theorem of two sequences for solving the modified generalized system of variational inequalities and numerical analysis
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Convergence theorem of two sequences for solving the modified generalized system of variational inequalities and numerical analysis

Author(s)
Sripattanet, Anchalee
Kangtunyakarn, Atid
Date Issued
October 1, 2019
Type
Article
DOI
10.3390/math7100916
Abstract
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.
Citation
Mathematics, 7(10), 2019
Subjects

Fixed point

Modified generalized ...

Strong convergence th...

The intermixed algori...

Variational inequalit...

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