| 广义内凸性与不变单调性之间的关系 |
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| 引用本文： | 李爱芹,范丽亚. 广义内凸性与不变单调性之间的关系[J]. 山东大学学报(理学版), 2008, 43(5): 71-74 |
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| 作者姓名： | 李爱芹 范丽亚 |
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| 作者单位： | 聊城大学数学科学学院,山东,聊城,252059;聊城大学数学科学学院,山东,聊城,252059 |
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| 摘 要： | 本文利用极限次微分的性质讨论了局部Lipschitz连续函数的内凸性和其极限次微分的不变单调性之间的关系。 文中结果可看成是非光滑凸函数性质的一个推广。
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| 关 键 词： | 广义不变单调 广义内凸 极限次微分 |
| 文章编号： | 1671-9352(2008)05-0071-04 |
| 修稿时间： | 2007-12-05 |
Relations of generalized invariant monotonicity and invexity |
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| LI Ai-qin,FAN Li-ya. Relations of generalized invariant monotonicity and invexity[J]. Journal of Shandong University, 2008, 43(5): 71-74 |
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| Authors: | LI Ai-qin FAN Li-ya |
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| Affiliation: | Department of Mathematics, Liaocheng University, Liaocheng 252059, Shandong, China |
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| Abstract: | The relationships between generalized invexity of locally Lipschitz functions and generalized invariant monotonicity of corres ponding limiting subdifferentials were studied. The results obtained can be viewed as an improvement of the previous results for non-smooth convex functions. |
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| Keywords: | generalized invariant monotone generalized invex limiting sub differential |
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