Existence theorem and sensitivity analysis of solutions for generalized parametric nonlinear implicit quasi-variational inequalities

In this paper we introduce a class of generalized parametric nonlinear implicit quasi-variational inequalities, and prove the existence theorem of solutions for this kind of variational inequalities involving strongly monotone and relaxed monotone mappings. We also discuss the sensitivity of solutions for the generalized parametric nonlinear implicit quasi-variational inequalities. Our results extend the corresponding results due to Verma, Huang and Cho-Kim-Huang-Kang.