Sensitivity Analysis for a System of Generalized Nonlinear Mixed Quasi Variational Inclusions with H-Monotone Operators

Sensitivity analysis of solution for variational inequalities and variational inclusions has been studied by many authors via quite different technique. See 1–7 and the reference therein . In 2004, Agarwal et al. 1 introduced and studied the following problem which is called the system of parametric generalized nonlinear mixed quasi variational inclusions. Let H be a real Hilbert space endowed with the product 〈·, ·〉 and norm ‖ · ‖, respectively. Let Ω and Λ be two nonempty open subsets of H in which the parametric ω and λ take values. Let M : H × Ω → 2H and N : H × Λ → 2H be two maximal monotone mappings with respect to the first argument. H1, S : H × Ω → H and H2, T : H × Λ → H be nonlinear single-valued mappings. The system of parametric generalized nonlinear mixed quasi variational inclusions problem 1 is to find x, y ∈ H ×H such that