| 抽象凸空间上的弱KKM映射, 相交定理和极大极小不等式 |
| |
| 引用本文： | 朴勇杰.抽象凸空间上的弱KKM映射, 相交定理和极大极小不等式[J].数学研究及应用,2010,30(6):1091-1098. |
| |
| 作者姓名： | 朴勇杰 |
| |
| 作者单位： | 延边大学数学系, 吉林 延吉 133002 |
| |
| 基金项目： | 国家自然科学基金(Grant No.10361005). |
| |
| 摘 要： | In this paper,we introduce the concept of weakly KKM map on an abstract convex space without any topology and linear structure,and obtain Fan＇s matching theorem and intersection theorem under very weak assumptions on abstract convex spaces.Finally,we give several minimax inequality theorems as applications.These results generalize and improve many known results in recent literature.
|
| 关 键 词： | abstract convex space map class K KC KO weakly KKM map matching theorem. |
| 收稿时间： | 2008/11/11 0:00:00 |
| 修稿时间： | 1/5/2009 12:00:00 AM |
Weakly KKM Map, Intersection Theorems and Minimax Inequalities on Abstract Convex Spaces |
| |
| Yong Jie PIAO.Weakly KKM Map, Intersection Theorems and Minimax Inequalities on Abstract Convex Spaces[J].Journal of Mathematical Research with Applications,2010,30(6):1091-1098. |
| |
| Authors: | Yong Jie PIAO |
| |
| Institution: | Department of Mathematics,Yanbian University,Jilin 133002,P.R.China |
| |
| Abstract: | In this paper, we introduce the concept of weakly KKM map on an abstract convex space without any topology and linear structure, and obtain Fan's matching theorem and intersection theorem under very weak assumptions on abstract convex spaces. Finally, we give several minimax inequality theorems as applications. These results generalize and improve many known results in recent literature. |
| |
| Keywords: | abstract convex space map class ${\frak{K}}$ ${\frak{KC}}$ ${\frak{KO}}$ weakly KKM map matching theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
