The Research Into The Existence And Uniqueness Of The Solutions Of A Kind Of Mixed Variational-Like Inequalities Problems

In this thesis, a kind of mixed variational-like inequalities problems are studied. First, the existence and uniqueness of the solutions of the problems in Banach space are discussed. And by it, the existence and uniqueness of the solutions of the variational equation N(Tu, Su) = f are analysed. Then, the perturbation problems of the mixed variational-like inequalities problems are studied. Finally, three special cases of the mixed variational-like inequalities problems arc discussed in different ways.