摘要
在W-hyperbolic空间中给出了β性质的定义,进而应用βW-hyperbolic空间中β模的定义证明了它的逼近紧性,从而具有正规结构;其次证明了βW-hyperbolic空间中的非空交性质;最后讨论了βW-hyperbolic空间上的渐进平均非扩张映射的不动点存在性问题。
In this paper,the definition ofβproperty is given inβW-hyperbolic space,and then the definition ofβmodule inβspace is applied to prove its approximate compactness,so it has normal structure;Secondly,the nonnullative properties ofβspace are proved.Finally,the fixed point existence problem of asymptotic average nonexpansion mapping inβspace is discussed.
作者
樊丽颖
宋婧婧
王萍
FAN Li-ying;SONG Jing-jing;WANG Ping(College of Basic Science, Tianjin Agricultural University, Tianjin 300384, China;School of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, China)
出处
《哈尔滨理工大学学报》
CAS
北大核心
2020年第4期162-166,共5页
Journal of Harbin University of Science and Technology
基金
黑龙江省自然科学基金(A2018006).
