拓扑型截口定理及应用<sup>*</sup>

张石生; 吴鲜

拓扑型截口定理及应用^*

张石生¹,
吴鲜²

1.
四川大学数学系;
2.
云南昭通师专数学系

基金项目: * 国家自然科学基金

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出版历程
- 收稿日期: 1994-04-04
- 刊出日期: 1995-02-15

Topologicai Version of Section Theorems with Applications

Zhang Shi-sheng¹,
Wu Xian²

1.
Sichuan University, Chengdu;
2.
Zhaotong Teacher's College, Zhaotong, Yun'nan

摘要

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TBrowder[3]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。
- 截口定理 /
- KKM定理 /
- 变分不等式
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].
- section theorem /
- KKM theorem /
- variational inequality

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参考文献(19)

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