摘要
建立了非紧λ-超凸空间中新的GMλ-KKM定理.作为应用,获得了λ-超凸空间中的连续选择及其不动点定理、极大元定理.我们的结果改进和推广了参考文献中的一些近期结果,并获得了非紧λ-超凸空间中的定性对策和抽象经济的平衡存在定理.
In this paper,a new GMλ-KKM theorem in noncompact λ-hyperconvex spaces is established. As applications,a continuous selection and its fixed point theorem and a maximal element theorem are obtained. Our results improve and generalize some recent results in references therein. Finally,equilibrium existence theorems for Abstract economies and qualitative games in noncompact λ-hyperconvex spaces are yielded.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第5期608-613,共6页
Journal of Sichuan Normal University（Natural Science）
基金
supported by the natural science research foundation of Guizhou provincial education department (2008072)~~
关键词
λ-超凸空间
连续选择
不动点
极大元
平衡
λ-hyperconvex space
Continuous selection
Fixed point
Maximal element
Equilibrium
