摘要
本文引进M-集,拟弱紧集,增闭集等概念。讨论了序局部凸空间中极大元的存在性问题,得到了新的存在性定理,它完全包含了至今为止的例如象[1～3]等文献中的有关存在性结果。
This paper introduces some new concepts, which are called M-Set, quasi-weakly compact, increasing closed Set etc, and then use this concepts to discuse the problem of existence of maximal element in ordered locally convex space. Futhermove it obtains some new existence theorems, which improve and extends some results of [1～3], etc.
关键词
M-集
极大元
序局部凸空间
M-set, increasing closed set, quasi-weakly compact
