FC-空间上KKM定理的另一种形式及其对重合点的应用

利用已知的FC-空间上的KKM定理， 给出一个改进的KK M定理并通过引入s-诱捕定义得到KKM定理的另一种形式. 利用单位分解定理得到一个FC-空间上的连续选择定理, 并作为应用得到了若干个重合点存在定理.

Another Form of KKM Theorem on FC-spaces with Its Application to Coincidence Points

By using the well known KKM theorem on FC-spaces, an improved KKM type theorem was established and another form of KKM type theorem was given by introducing the definition of s-trappable, and then a continuous selection theorem on FC-space was obtained by the partition theorem of unity. Finally, several existence theorems of coincidence point were derived as the application of the aboveresults.