Mixed quasi variational inequalities

摘要

In this paper, we use the resolvent operator and auxiliary principle techniques to suggest and analyze several iterative algorithms for solving mixed quasi variational inequalities and related problems. We study the convergence criteria of these algorithms under mild conditions. We also study the global stability and existence of a unique solution of these quasi variational inequalities by using the dynamical systems approach. Our results represent refinement and improvement of the previously known results for variational inequalities.