Stability of the modified projected dynamical systems

In this paper, we propose and analyse a modified projection-type dynamical system associated with variational inequalities by using the technique of updating the solution. We prove that the globally asymptotic stability of this dynamical system requires only the pseudomonotonicity of the underlying operator, which is a weaker condition than monotonicity. The results obtained in this paper represent a significant improvement of the previously known results. [Copyright &y& Elsevier]