H-空间的截口定理重合定理相交定理及其应用<sup>*</sup>

张石生; 张颖

H-空间的截口定理重合定理相交定理及其应用^*

张石生¹,
张颖²

1.
四川大学;
2.
重庆电子科大

基金项目: * 国家自然科学基金资助课题

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出版历程
- 收稿日期: 1993-04-20
- 刊出日期: 1993-09-15

Section Theorems, Coincidence Theorems and Intersection Theorems on H-Spaces with Applications

Zhang Shi-sheng¹,
Zhang Yin²

1.
Sichuan University, Chengdu;
2.
University of Electronics Science and Technology of China, Chengdu

摘要

摘要: 本文的目的是在H-空间上得出几个截口定理、相交定理和重合定理.作为这些结果的应用,我们研究了H-空间中的极大极小不等式和变分不等式解的存在性问题.本文结果改进和发展了引文[1,3,5,6,8,9,12,14,15,17]中的相应结果.
- 截口定理 /
- 重合定理 /
- 相交定理 /
- H-KKM映象 /
- 变分不等式 /
- 极大极小不等式
Abstract: The purpose of this paper is to study the section theorems, coincidence theorems and intersection theorems on H-spaces. As a way of application, we use these results to study the existence problems of solutions for minimax inequalities and variational inequalities. The results presented in this paper improve and extend the corresponding results in [1, 3, 5, 6, 8, 9, 12, 14,15, 17].
- section theorem /
- coincidence theorem /
- intersection theorem /
- H-KKM mapping /
- variational inequality /
- minimax inequality

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参考文献(17)

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