关键词: multivalued quasi variational inclusion, variational inequality, algorithm, resolvent equation, m-accretive mapping, accretive mapping, implicitvariational inequality, T-monotone mapping, strictly T-monotone mapping, Nash equilibrium problem

Abstract: By using the partially ordered methods, the existence problem of solutions for more general implicit variational inequalities of mo,lotone type in Hausdorff topological linear spaces are considered. As application we utilize the results presented in this paper to study the existence of solutions for Nash equilibrium problem and the semi-linear elliptic differential equations.

Key words: multivalued quasi variational inclusion, variational inequality, algorithm, resolvent equation, m-accretive mapping, accretive mapping, implicitvariational inequality, T-monotone mapping, strictly T-monotone mapping, Nash equilibrium problem