Error Analysis For A Class Of Nonlinear Quasi Variational Inequalities

In this paper, solvability and existence of unique solution of generalized strongly nonlinear quasivariational inequality are proved based on the notion of F-monotonicity. The associated complementarity problem is formulated. Equivalence between generalized strongly nonlinear quasicomplementarity problem (in short GSNQCP) and generalized strongly nonlinear quasivariational inequality problem (GSNQVIP) with respect to F-monotone mapping is established under certain conditions. An iterative algorithm is proposed to approximate the exact solution of the GSNQVIP with respect to F-monotone mapping and its strong convergence is established. The error bounds for the approximate solution of GSNQVIP are obtained with the help of the residue vector