Abstract: The paper studies the nonempty intersection property of the set-valued mapping in interval spaces and, a general topological space without linear structure, and establishes several Shafer-Sonneischein equilibrium existence theorems of abstract economy. In the paper, the open questions raised in [3] are partially answered

Key words: interval space, strongly Dadekind complete, nonempty intersection property, Shafer-Sonneischein equilibrium problem

摘要： 笔者在文中研究了不具线性结构的拓扑空间-区间空间-中集值映像的非空交性质,得到了拓扑型抽象经济 Shafer-Sonneischein平衡存在定理.笔者在本文结果部分地回答了文[3]中提出的公开问题

关键词: 区间空间, 强Dadekind完备, 非空交性质, Shafer-Sonneischein平衡