参数型非空交定理和拓扑Riesz空间中的极大极小定理

PARAMETRIC TYPE OF NONEMPTY INTERSECTION THEOREMS AND MINIMAX THEOREMS IN TOPOLOGICAL RIESZ SPACES

本文首先证明了区间空间上的几个参数型非空交定理,并由此得到拓扑Riesz空间中的几个新型极大极小定理,本文的结果包含[1、5、6]中主要结果为特例。

some parametric type of nonempty intersection theorems are first proved in interval spaces, and some new minimax theorems are obtained in topological Riesz spaces. Our results in this paper contain the corresponding results from the literature as special cases in[1,5, 6]. 1991 (AMS)Subject classification: 49J35