Sensitivity Analysis for the Quasi Variational Inequality Problems on Uniformly Prox Regular Sets
Narin Petrot, Jittiporn Tangkhawiwetkul
Keywords:
sensitivity analysis, the quasi variational inequality problem, uniformly prox-regular set, locally Lipschitz continuous mapping, locally strongly monotone mappingAbstract
In this paper, we present a parametric Wiener-Hopf equation which is equivalent to the parametic of quasi variational inequality problems over a class of nonconvex sets, as uniformly prox regular sets. By using a such Wiener-Hopf equation and some sufficient conditions, the sensitivity analysis of the quasi variational inequality problems on nonconvex sets is proved.