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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.
      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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