Generalized Strongly Nonlinear Quasivariational Inequalities

In this paper, we prove an existence theorem of solutions and develop the algorithms of approximating solutions for a generalized strongly nonlinear variational inequality and a generalized strongly nonlinear complementarity problem. An algorithm for finding the approximate solution of generalized strongly nonlinear quasivariational inequalities and generalized strongly nonlinear quasicomplementarity problems is also given. As special cases, these results include the corresponding results of Fang and Peterson, Noor, Siddiqi and Ansari, and Ding