On equilibrium problem of abstract economy, generalized quasi-variational inequality, and an optimization problem in locally H-convex spaces

Generalized Quasi-Variational-Like Inequality Problem

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 Generalized Vector Variational-Like Inequality Problem

In this paper, we introduce the concepts of relaxed M-η-αP -pseudomonotonicity and relaxed M-η-α-P -pseudomonoton icity-type mappings. Using the KKM techniques, we obtain the existence of solutions for generalized vector variationallike inequalities with relaxed M-η-α-P -pseudomonotone-type mappings in reflexive Banach spaces. The results presented in this paper generalize, unify and improve a ...

A Quasi-variational Inequality Problem in Superconductivity

We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical ̄nite element method based on the lowest order Raviart Thomas element, which yields approximations to both the primal and dual variables (the magnetic and electric ̄elds). We prove...

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.