quasimonotone

An extragradient method for solving variational inequalities without monotonicity

  • Lei Ming
  • He Yiran
    • Categories Complementarity and Variational Inequalities Tags , , , ,

    A new extragradient projection method is devised in this paper, which does not obviously require generalized monotonicity and assumes only that the so-called dual variational inequality has a solution in order to ensure its global convergence. In particular, it applies to quasimonotone variational inequality having a nontrivial solution. ArticleDownload View PDF

    A double projection method for solving variational inequalities without monotonicity

  • Ye Minglu
  • He Yiran
    • Categories Complementarity and Variational Inequalities Tags , ,

    We present a double projection algorithm for solving variational inequalities without monotonicity. If the solution of dual variational inequality does exist, then the sequence produced by our method is globally convergent to a solution. Under the same assumption, the sequence produced by known methods has only a subsequence converging to a solution. Numerical experiments are … Read more