پديدآورندگان :
Mansourirad Maryam maryammansourirad@gmail.com Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran. , Farajzadeh Ali farajzadehali@gmail.com Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran. , Delfani Mahtab ma.delfani@gmail.com Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran.
كليدواژه :
monotone , B , pseudomonotone , variational inequality , radially continuous
چكيده فارسي :
In this paper, we _x000C_rst extend the de_x000C_nition of pseu-domonotone Brezis in topological vector spaces. Then, we introduce three kinds of variationational inequality problems in the setting of topological vector spaces by investigating The relationship between their solution sets. By using the KKM theory some existence theorems for a solution of the introduced variational inequality problems are provided. The convexity and compactness of the solution sets of the variational inequality problems under suitable assumptions are given. Finally, it is shown that all weak solutions of this problem are strong by using the B-pseudomonotonicity and Sion lemma.
