Generalized mixed quasi-variational-like inequalities

摘要

In this paper, we use the auxiliary principle technique to suggest and analyze some iterative methods for solving generalized mixed quasi-variational-like inequalities. We show that the convergence of the proposed method requires either pseudomonotonicity or partially relaxed strongly monotonicity under some mild condition. As special cases, one can obtain a number of new and known algorithms for solving variational inequalities and complementarity problems. Our results represent significant and important refinements of the previously known results.