主要在Hilbert空间中研究依赖时间的变分不等式,给出了解的存在性条件,引入了凸和道路连通的概念及证明,进而给出了变分不等式解集连通的一个充分条件。
We study a time-dependent variational inequality in Hilbert space and the existence condition of solution.Furthermore,we introduce the concept of convex and path-connectedness.Finally,we present a useful sufficient condition of solution set connectedness to a time-dependent variational inequality.