一个新型拓扑非空交定理及其在抽象经济平衡问题上的应用

A New Topological Non-empty Intersection Theorem with Application to Equilibrium Problems For the Abstract Economics

本文证明了区间空间上的一个新型非空交定理．作为应用，我们得到区间空间向量值择一定理、极大极小定理、截口定理、不动点定理和抽象经济平衡点存在性定理。本文的结果部分地回答了［1，2］中提出的公开问题．

A new type of non-emPty intersection theorem is proved in interval spaces. As applications,some vectorvalued alternating theorems, minimax theorems, section theorems, fixed points theorems and existence theorems of equlibrium points for the abstract economics are obtained. In this paper,the open questions raised in[l,2) are partially answered.