| Volume 10, Number 1, 2020, Pages 104-117 DOI：10.11948/20190004 |
| On the strong convergence of a projection-based algorithm in Hilbert spaces |
| Liya Liu,Xiaolong Qin |
| Keywords:Strong convergence, variational inequality problem, inertial method, pseudo-monotone mapping. |
| Abstract: |
| In this paper, we introduce a new projection-based algorithm for solving variational inequality problems with a Lipschitz continuous pseudo-monotone mapping in Hilbert spaces. We prove a strong convergence of the generated sequences. The numerical behaviors of the proposed algorithm on test problems are illustrated and compared with previously known algorithms. |
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