摘要
本文应用KyFan定理和KKM技巧在(局部凸)Hausdorff拓扑向量空间及自反Banach空间上讨论了集值映象的变分不等式解的存在性。所讨论的问题比[6,7,10,11]中讨论的更为广泛。
This paper deals with the existence of solution to variational inequalitiesfor set-valued maps by Ky Fan theorems and technique of KKM in a (locally convex)Hausdorff topological vector space and a reflexive Banach space. The problems discussedhere are more general than that in [6, 7, 10, 11].