| 一个非凸最小化定理与Ekeland变分原理等价 |
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| 引用本文： | 宋文.一个非凸最小化定理与Ekeland变分原理等价[J].哈尔滨师范大学自然科学学报,1993(4). |
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| 作者姓名： | 宋文 |
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| 作者单位： | 哈尔滨师范大学 |
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| 摘 要： | 本文证明了一个非凸最小化定理。并利用它证明了Ekeland变分原理,和Caristi不动点定理,且由此证明非凸最小化定理与Ekeland变分原理,Caristi不动点定理等价。
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| 关 键 词： | 非凸性 变分 度量空间 |
EQUIVALENCE BETWEEN A NONCONVEX MINIMIZATION THEOREM AND EKELAND'S VARIATIONAL PRINCIPLE |
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| Song Wen.EQUIVALENCE BETWEEN A NONCONVEX MINIMIZATION THEOREM AND EKELAND''''S VARIATIONAL PRINCIPLE[J].Natural Science Journal of Harbin Normal University,1993(4). |
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| Authors: | Song Wen |
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| Institution: | Harbin Normal Univensity |
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| Abstract: | In this paper, we prove the equivalence between a nonconvex minimization theorem on complete metric space and Ekeland's variational principle. |
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| Keywords: | Nonconvex Variation Metric space |
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