Principles of Variational Inequalities

Variational inequalities provide us with a unified, natural, novel and simple framework to study a wide class of problems arising in pure and applied sciences. In this book, we present a number of new and known numerical techniques for solving variational inequalities using various techniques including projection, Wiener-Hopf equations, updating the solution, auxiliary principle, inertial proximal, penalty function and dynamical system. We also consider sensitivity analysis of the variational inequalities as well as the finite convergence of the projection-type algorithms. Variational-like inequalities, regularized inequalities inequalities and equilibrium problems are also investigated. Several open problems have been suggested forfurther research in these areas.