| Fanky极大极小不等式的进一步推广及对变分不等式的应用 |
| |
| 引用本文： | 张石生 杨干山. Fanky极大极小不等式的进一步推广及对变分不等式的应用[J]. 应用数学和力学, 1990, 11(11): 961-968 |
| |
| 作者姓名： | 张石生 杨干山 |
| |
| 作者单位： | 四川大学数学系，四川大学数学系，云南民族学院数学系 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 本文引出广义KKM映象的概念,其包含著名的KKM映象为特例.借助于这一映象,我们给出著名的KKM定理和Fan Ky极大极小不等式以一种新的推广形式.作为应用,我们考虑了变分不等式解的存在性问题.本文结果是引文[1～6]中相应结果的改进和发展.
|
| 关 键 词： | 广义KKM映象 上半连续 γ-对角拟凸 鞍点 |
Some Further Generalizations of Ky Fan''s Minimax Inequality and Its Applications to Variational Inequalities |
| |
| Zhang Shi-sheng. Some Further Generalizations of Ky Fan''s Minimax Inequality and Its Applications to Variational Inequalities[J]. Applied Mathematics and Mechanics, 1990, 11(11): 961-968 |
| |
| Authors: | Zhang Shi-sheng |
| |
| Abstract: | The purpose of this paper is to introduce the concept of generalized KKM mapping and to obtain some general version of the famous KKM theorem and Ky Fan's minimax inequality. As applications, we utilize the results presented in this paper to study the saddle point problem and the existence problem of solutions for a class of quasi-variational inequalities. The results obtained jn this paper extend and improve some recent results of [1-6]. |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 等数据库收录！ |
