Noor, Muhammad Aslam A Wiener-Hopf dynamical system for variational inequalities. (English) Zbl 1047.49011 N. Z. J. Math. 31, No. 2, 173-182 (2002). Using the fixed point formulation of the variational inequality problem, which is based on the Wiener-Hopf equation, the author presents a continuous version of the known extragradient type method in the finite-dimensional spaces. The convergence of the method is proved under the assumptions that the cost mapping is pseudomonotone and Lipschitz continuous. However, Theorem 3.3 contains ambiguous conditions which do not allow for evaluating its assertion. Reviewer: Igor V. Konnov (Kazan) Cited in 18 Documents MSC: 49J40 Variational inequalities 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) Keywords:variational inequalities; dynamical systems; extragradient methods; Wiener-Hopf equation PDF BibTeX XML Cite \textit{M. A. Noor}, N. Z. J. Math. 31, No. 2, 173--182 (2002; Zbl 1047.49011) OpenURL