Equilibrium of abstract economy and generalized quasi-variational inequality in H-spaces

On Minimax Inequality and Generalized Quasi–variational Inequality in H-spaces

In this paper, we give a new minimax theorem and two new existence theorems of solutions for generalized quasi–variational inequalities in H-spaces. Our results improve and develop some famous results.

On Nash Equilibrium of the Abstract Economy or Generalized Game in H-Spaces

The purpose of this paper is to introduce the H-space and to establish a theorem for the Nash equilibrium of a generalized game (or an abstract economy). The result presented in this paper, modify and extend the corresponding results given in the literatures, so that this new theorem are applied to the equilibrium problems of the game (or the economy) in H-space.

Generalized Quasi-Variational-Like Inequality Problem

Variational inequality problems in H-spaces

The concept of η-invex set is explored and the concept of T-η-invex function is introduced. These concepts are applied to the generalized vector variational inequality problems in ordered topological vector spaces. The study of variational inequality problems is extended to H-spaces and differentiable n-manifolds. The solution of complementarity problem is also studied in the presence of fixed ...

Existence of solutions for generalized symmetric vector quasi-equilibrium problems in abstract convex spaces with applications

In this paper, we introduce and study a class of generalized symmetric vector quasi-equilibrium problems in abstract convex spaces. By virtue of the properties of Γ-convex and KC-map, we give some sufficient conditions to guarantee the existence of solutions for the generalized symmetric vector quasi-equilibrium problems in abstract convex spaces. As application, we show an existence theorem of...