| Ekeland原理的推广及空间的完备性特征 |
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| 引用本文： | 边文明. Ekeland原理的推广及空间的完备性特征[J]. 河南师范大学学报(自然科学版), 1992, 20(1): 15-20 |
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| 作者姓名： | 边文明 |
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| 作者单位： | 河南师范大学数学系 |
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| 摘 要： | 本文把Ekeland变分原理推广到拓扑空间,给出了更一般的Petal定理及Drop定理,得到了拓扑空间内的几个不动点定理,并讨论了空间的完备性特征(与不动点的存在性等价).
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| 关 键 词： | Ekeland变分原理 拟函数 完备 不动点 |
THE GENERALIZATION OF EKELAND''''S PRINCIPLE AND THE COMPLETENESS OF SPACE |
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| Bian Wenming. THE GENERALIZATION OF EKELAND''''S PRINCIPLE AND THE COMPLETENESS OF SPACE[J]. Journal of Henan Normal University(Natural Science), 1992, 20(1): 15-20 |
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| Authors: | Bian Wenming |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This paper generalizes the Ekeland prinpiclc into topological space, gives the more generalized Petal and Drop theorems and gets some fixed point theorems and the characteristics of the complet eness of space (equivalent to the existence of fixed point of some kind of map). |
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| Keywords: | Ekeland principle pusi-function completeness fixed point |
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