NEW VERSION OF KKMTHEOREM IN PROBABILISTIC METRIC SPACES WITH APPLICATIONS

In this paper we first introduce the concept of probabilistic interval space. Under this framework a new version of KKM theorem is obtained. As application, we utilize this result to study some new minimax theorem. section theorem, matching theorem ,coincidence theorem and fixed point theorem in probabilistic metric spaces. The results presented in this paper not only contain the main resull of von Neumann ￣[7] as its special case but also extend the corresponding resulls of [1, 3, 4, 6, 8] to the case of probabilistic metric spaces.

湖南丘陵地区中小城市空间形态优化探讨——以衡东县为例

湖南丘陵地区的中小城市大多具有面山环水、城市建设用地局促、"整体集中、局部分散"为主的城市发展模式等特征。针对这些特征,衡东县在新一轮总规修编中采用建立良好的生态环境格局、采取"西进、北拓、南移、东优"的空间扩展来促进城市发展、建立适度的组团式城市模式等对策来促进衡东县的生态人居环境构建,满足其经济发展的需求。从而为湖南丘陵地区的中小城市的发展探求一些空间形态优化模式。