Sensitivity analysis of solutions for parametric nonlinear quasi-variational inequalities. (English) Zbl 1080.49011
Summary: In this paper, we introduce a new class of parametric nonlinear quasi-variational inequalities and establish the existence and sensitivity of solutions for this kind of nonlinear quasi-variational inequalities involving strongly monotone mappings and relaxed Lipschitz mappings. Our results extend and unify corresponding results due to Verma, Huang, Cho-Kim-Huang-Keng and others.
MSC:
49J40 | Variational inequalities |
47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
49K40 | Sensitivity, stability, well-posedness |