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Tseng’s extragradient method with double projection for solving pseudomonotone variational inequality problems in Hilbert spaces

  • Zhongbing Xie,
  • Gang Cai,
  • Xiaoxiao Li,
  • Qiao-Li Dong

摘要

The aim of this paper is to investigate an accelerated Tseng’s extragradient method with double projection for solving Lipschitzian and pseudomonotone variational inequalities in real Hilbert spaces. A strong convergence theorem of the proposed algorithm is obtained under some appropriate assumptions imposed on the parameters. Finally, we give some numerical examples to demonstrate the performance of our algorithm.