Sensitivity analysis for a system of parametric generalized mixed quasi-variational inclusions involving (K,η)-monotone mappings

摘要

In this paper, we introduce a new system of parametric generalized mixed quasi-variational inclusions involving (K,η)-monotone mappings. By using resolvent operator technique of (K,η)-monotone mappings and the property of fixed point set of set-valued contractive mappings, we study the behavior and sensitivity analysis of the solution set for the system of parametric generalized mixed quasi-variational inclusions in Hilbert spaces. In particular, we prove that the solution set of the system of parametric generalized mixed quasi-variational inclusions is nonempty closed, and the Lipschitz continuity of solution set with respect to the parameters is also proved under suitable conditions. These results improve, unify and generalize many corresponding known results in literature.