一般化凸空间上的截口定理和变分不等式定理

摘要

In this paper,we use the Brouwer fixed point theorem or the well-known KKM type theorem[1] to obtain the section theorems on generalized convex spaces.We discuss the existence problems of solutions for variational inequalities.Our results generalize and improve the corresponding results in [2～9].%本文利用Brouwer不动点定理或已知的KKM型定理[1],得到一般化凸空间上的截口定理.讨论了变分不等式解的存在性问题.对文[2～9]中的相应结论进行了一般化和改进.