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Extended Projection Methods for Monotone Variational Inequalities
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zhao, Yitian |
| Copyright Year | 1999 |
| Abstract | In this paper, we prove that each monotone variational inequality is equivalent to a two-mapping variational inequality problem. On the basis of this fact, a new class of iterative methods for the solution of nonlinear monotone variational inequality problems is presented. The global convergence of the proposed methods is established under the monotonicity assumption. The conditions concerning the implementability of the algorithms are also discussed. The proposed methods have a close relationship to the Douglas–Rachford operator splitting method for monotone variational inequalities. |
| Starting Page | 219 |
| Ending Page | 231 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1023/A:1021781318170 |
| Volume Number | 100 |
| Alternate Webpage(s) | http://web.mat.bham.ac.uk/Y.Zhao/My%20publication/JOTA-1999a.pdf |
| Alternate Webpage(s) | https://doi.org/10.1023/A%3A1021781318170 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
