摘要
利用已知的FC-空间上的KKM定理,给出一个改进的KKM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.
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.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2008年第6期1025-1030,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10361005)