| FKKM定理和Ky Fan极小极大不等式在H-空间中的推广及其关于极大元的应用 |
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| 引用本文： | 杨琍. FKKM定理和Ky Fan极小极大不等式在H-空间中的推广及其关于极大元的应用[J]. 绵阳师范学院学报, 1995, 0(Z2) |
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| 作者姓名： | 杨琍 |
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| 作者单位： | 绵阳师范高等专科学校数学系 绵阳621000 |
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| 摘 要： | 本文通过放弃凸性和放松γ-对角拟凹性等条件,在H-空间中推广了Fan-Knaster-Kuratowski-Mazurkiewicz(FKKM)定理和Ky Fan极小极大不等式,然后应用这些结果在很弱的假定下证明了二元关系的极大元的存在性,本文结果推广了许多文献中相应的结果.
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| 关 键 词： | H-空间 H-FS凸映象 极大元 转移闭值 转移开值 γ-转移下半连续 转移上连续 转移弱上连续 H-广义SS凸性 |
Generalizations of the FKKM theorem and the ky Fan Minimax Inequality in H - Spaces with Applications to Maximal Elements |
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| Yang Li. Generalizations of the FKKM theorem and the ky Fan Minimax Inequality in H - Spaces with Applications to Maximal Elements[J]. Journal of Mianyang Normal University, 1995, 0(Z2) |
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| Authors: | Yang Li |
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| Abstract: | the purpose of this paper is to obtain a new generalization of the Fan - Knaster - Kuratonski - Mazurkiewica theorem and the ky Fan minimax inequalities in H-spaces, We then apply these results to prove the existence of maximal elements of binary relations under very weak assumptions. The results presented in this paper extend the corresponding results of many literature. |
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| Keywords: | H?Spaces H?FS Convex mappting Maximal element Transfer closeclness Transfer openess r-transfer lower Seni-Continuity transfer upper Continuity H-generalized SS convexity. |
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