有限连续拓扑空间上的相交定理和广义变分不等式

Intersection Theorems and Generalized Variational Inequalities on Finite Continuous Topological Spaces

根据已知的FC-空间上的KKM型定理得出若干个相交定理,作为它们的应用,利用转移开闭映射的特征讨论广义变分不等式解的存在问题.本文的结果改进和推广了文献中的相应结论.

Some intersection theorems were obtained by using the well known KKM type theorem on FC-spaces, and existence problem of solution for generalized variational inequalities were discussed by using property of transfer open-clsoed valued mapping as applications of intersection theorems. These results generalize and improve some known results in recent literature.