| H-空间的截口定理重合定理相交定理及其应用* |
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| 引用本文： | 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*[J].应用数学和力学,1993,14(9):763-774. |
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| 作者姓名： | 张石生 张颖 |
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| 作者单位： | 1.四川大学; |
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| 基金项目： | 国家自然科学基金资助课题 |
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| 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.
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| 关 键 词： | 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 |
| 收稿时间： | 1993-04-20 |
Section Theorems,Coincidence Theorems and Intersection Theorems on H-Spaces with Applications |
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| Zhang Shi-sheng.Section Theorems,Coincidence Theorems and Intersection Theorems on H-Spaces with Applications[J].Applied Mathematics and Mechanics,1993,14(9):763-774. |
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| Authors: | Zhang Shi-sheng |
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| Institution: | 1.Sichuan University, Chengdu;2.University of Electronics Science and Technology of China, Chengdu |
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| Abstract: | The purpose of this paper is to study the section theorems, coincidence theorems and intersection theorems on H-spaoes, As a way of application, we use these results to study the existence problems of solutions for minimax inequalities and varjational ineqalities. The results presented in this paper improve and extend the corresponding results in 1, 3, 5, 6, 8, 9, 12, 14, 15, 17]. |
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| Keywords: | section theorem coincidence theorem intersection theorem H- KKM mapping variational inequality minimax inequality |
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