| 拓扑型截口定理及应用* |
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| 引用本文： | 张石生,吴鲜.拓扑型截口定理及应用*[J].应用数学和力学,1995,16(2):123-131. |
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| 作者姓名： | 张石生 吴鲜 |
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| 作者单位： | 1.四川大学数学系; |
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| 摘 要： | 本文给出一个新型的KKM定理,并用它得到拓扑型截口定理,在第四节至第五节应用此截口定理给出了Browder-Hartman-Stampacchia变分不等式3].隐变分不等式8],抽象形式变分不等式19]的解的存在性定理,和一个集值映射的不动点定理。其结果不仅包含TBrowder3]中的主要结果为特例,而且,改进和发展了引文1～19]中的相应结果。
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| 关 键 词： | 截口定理 KKM定理 变分不等式 |
| 收稿时间： | 1994-04-04 |
Topologicai Version of Section Theorems with Applications |
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| Zhang Shi-sheng.Topologicai Version of Section Theorems with Applications[J].Applied Mathematics and Mechanics,1995,16(2):123-131. |
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| Authors: | Zhang Shi-sheng |
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| Affiliation: | 1.Sichuan University, Chengdu;2.Zhaotong Teacher's College, Zhaotong, Yun'nan |
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| Abstract: | In this paper some new types of KKM theorem and section theorems are given.As applications,the existence problems of solutions for three kinds of variational inequalities and fixed point problem for set-valued mapping have been siudied by usingthose results.The results presented in this paper improve and extend the main resultsin 1-19]. |
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| Keywords: | section theorem KKM theorem variational inequality |
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