| 下半连续函数的弱尖最小值点 |
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| 引用本文： | 吴焚供. 下半连续函数的弱尖最小值点[J]. 惠州学院学报, 2006, 26(3): 27-30. DOI: |
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| 作者姓名： | 吴焚供 |
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| 作者单位： | 华南师范大学,数学系,广东,广州,510631 |
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| 摘 要： | 本文给出了Banach空间中的下半连续且下有界函数存在弱尖最小值点的一个充分条件,并利用 Frechet次微分,给出了Asplund空间中下半连续下有界函数具有弱尖最小值点的充分条件。
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| 关 键 词： | 下半连续 弱尖最小值点 Asplund空间 Frechet次微分 |
| 文章编号： | 1671-5934（2006）03-0027-04 |
| 收稿时间： | 2005-10-17 |
| 修稿时间： | 2005-10-17 |
Weak Sharp Minima of Lower Semicontinuous Functions |
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| WU Fen-gong. Weak Sharp Minima of Lower Semicontinuous Functions[J]. Journal of Huizhou University, 2006, 26(3): 27-30. DOI: |
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| Authors: | WU Fen-gong |
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| Affiliation: | Department of Mathematics, South China Normal University, Guangzhou 510631, Gnangdong China |
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| Abstract: | In this paper, we give out a sufficient condition for functions to have weak sharp minima in Banach space. The function is assumed to be lower semicontinuous and bounded from below throughout this papeer. Using of Frechet subdifferential, we give out some sufficient conditons for the function to have weak sharp minima in Asplund space. |
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| Keywords: | lower semicontinuous weak sharp minima Asplund space Frfichet subdifferential |
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