| Title of Article |
A Mean Extragradient Method for Solving
Variational Inequalities |
| Date of Acceptance |
9 March 2021 |
| Journal |
| Title of Journal |
Symmetry 2021 |
| Standard |
|
| Institute of Journal |
the authors. licensee MDPI, Basel, Switzerland. |
| ISBN/ISSN |
2073-8994 |
| Volume |
2021 |
| Issue |
13 |
| Month |
มีนาคม |
| Year of Publication |
2021 |
| Page |
462 |
| Abstract |
We propose a modified extragradient method for solving the variational inequality problem
in a Hilbert space. The method is a combination of the well-known subgradient extragradient with the
Mann’s mean value method in which the updated iterate is picked in the convex hull of all previous
iterates. We show weak convergence of the mean value iterate to a solution of the variational
inequality problem, provided that a condition on the corresponding averaging matrix is fulfilled.
Some numerical experiments are given to show the effectiveness of the obtained theoretical result. |
| Keyword |
averaging matrix; extragradient method; mean value iteration; variational inequalities; weak convergence |
| Author |
|
| Reviewing Status |
มีผู้ประเมินอิสระ |
| Status |
ได้รับการตอบรับให้ตีพิมพ์ |
| Level of Publication |
นานาชาติ |
| citation |
false |
| Part of thesis |
true |
| Attach file |
|
| Citation |
0
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Publication
Journal Publication
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