New Iterative Methods and Sensitivity Analysis for Inverse Quasi Variational Inequalities

Some classes of inverse quasi variational inequalities, which can be viewed as a novel important special case of quasi variational equalities, introduced in Noor [47] in 1988, are investigated. Using various techniques such as Wiener-Hopf equations, auxiliary principle, dynamical systems coupled with finite difference approach we suggest and analyzed a number of new and known numerical techniques for solving inverse quasi variational inequalities. Convergence analysis of these methods is investigated under suitable conditions. Sensitivity analysis is also investigated. One can obtain a number of new classes of inverse variational inequalities by interchanging the role of operators. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research.