Applications Of The Auxiliary Principle Technique For Strongly Mixed Variational-like Inequalities And Nonlinear Generalized Parametric Quasivariational Inequalities

In this paper, two new classes of strongly mixed variational-like inequalities and nonlinear generalized parametric quasivariational inequalities are introduced and studied. Under suitable conditions, some existence theorems of solutions for the new class of strongly mixed variational-like inequalities are proved in Hilbert spaces and an iterative algorithm to compute approximate solutions of the strongly mixed variational-like inequalities is suggested and analyzed. The stability results of iterative sequence generated by this iterative algorithm are given. The behavior and sensitivity analysis of the solutions of the new class of nonlinear generalized parametric quasivariational inequalities arc also studied.