FC-空间中的抽象变分不等式

Abstract variational inequality in FC-space

在没有任何凸性结构的有限连续拓扑空间(简称FC-空间)中讨论一类抽象变分不等式解的存在性及解的性状问题,得到了拟抽象变分不等式和隐抽象变分不等式解的存在性定理.

We discuss the existence problem of solutions and character problem of solution sets for abstract variational inequality in finitely continuous topological space （in short FC - space） without any convexity assumptions. At the same time, we give the existence of solutions for quasi - variational inequality and implicit variational inequality.