μ_0-超凸空间中的连续选择定理及其对抽象经济的应用(英文)

A Continuous Selection Theorem in μ_0-Hyperconvex Spaces and Its Application to Abstract Economies

引入了μ0-超凸空间概念,建立了μ0-超凸空间中的连续选择及其不动点定理.作为应用,获得了μ0-超凸空间中的极大元定理,Fy Fan截口定理和Fy Fan相交定理及μ0-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, the notion of μ0-hyperconvex spaces is introduced and a continuous selection and its fixed point theorem are established in μ0-hyperconvex spaces. As applications, a maximal element theorem, a Ky Fan section theorem and a Ky Fan intersection theorem are obtained in μ0-hypereonvex spaces. Finally, equilibrium existence theorems for abstract economies and qualitative games in μ0-hypereonvex spaces are yielded.