Generalized quasi variational inequalities and implicit wiener – hopf equations*

Abstract

In this paper, we introduce and study some new classes of variational inequalities and the Wiener – Hopf Equations. These classes are more general and unifying ones. Using essentially the projection technique, we establish equivalence between these new classes. This equivalence is used to suggest and analyze some new iterative algorithms for solving the generalized quasi variational inequalities. We also study the convergence analysis for these iterative algorithms. Some special cases are also discussed