Solvability Of Some Perturbed Variational Inequalities In Finite Dimensional Spaces

This dissertation aims to discuss some perturbed variational inequalities in finite dimensional spaces, especially focus on the perturbation analysis of the variational inequality problem GVI(F, K) and generalized mixed variational inequality problem GMVI(F,f,K). It is shown that if a coerciv-ity condition holds and both the mapping F and the constraint set K of the variational inequality are perturbed, the perturbed variational inequality has a solution. Compared with the existing literature, the perturbation analysis does not assume any monotonicity of the mapping F.