ALGORITHMS FOR GENERAL MIXED QUASI VARIATIONAL INEQUALITIES
Muhammad Aslam Noor, Zulfiqar Ali Memon · Journal of Inequalities in Pure & Applied Mathematics · 2002
In this paper, we use the auxiliary principle technique to suggest and analyze a predictor-corrector method for solving general mixed quasi variational inequalities. If the bi- function involving the mixed quasi variational inequalities is skew-symmetric , then it is shown that the convergence of the new method requires the partially relaxed strong monotonicity prop- erty of the operator, which is a weaker condition than cocoercivity. Since the general mixed quasi variational inequalities includes the classical quasi variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. Our results can be viewed as an important extension of the previously known results for variational inequalities.