保序集值映射的极大不动点及应用

Maximum Fixed Points of Order Preserving Multifunction with Applications

在Ｈａｕｓｄｏｒｆ拓扑线性空间中引入集值映射的极大不动点及单调弱闭集等概念。讨论了不具有任何连续性的保序集值映射极大不动点的存在性问题。并把所得结果应用于研究混合单调集值映射耦合不动点的存在性问题。得到了更一般性的结果。

Introduced in this paper, are the concept of maximum fixed point, monotone weakly closed set, etc. also discussed are the problem of maximum fixed points of order preserving multifunction and the problem of coupled fixed points of mixed monotone multifunction in Hausdorff topological vector spaces.