| 伪预内凸性、伪内凸性和伪不变单调性之间的关系 |
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| 引用本文： | 张凡龙,范丽亚.伪预内凸性、伪内凸性和伪不变单调性之间的关系[J].聊城大学学报(自然科学版),2009,22(1). |
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| 作者姓名： | 张凡龙 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： | 利用极限次微分的性质讨论了局部Lipschitz连续函数的伪预内凸性,伪内凸性和其极限次微分的伪不变单调性之间的关系.文中结果可看成是非光滑伪凸函数性质的一个推广.
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| 关 键 词： | 伪预内凸性 伪内凸性 伪不变单调性 |
Relations Among Pseudo-preinvexity,Pseudo-invexity and Pseudo-invariant Monotonicity |
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| ZHANG Fan-long,FAN Li-ya.Relations Among Pseudo-preinvexity,Pseudo-invexity and Pseudo-invariant Monotonicity[J].Journal of Liaocheng University:Natural Science Edition,2009,22(1). |
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| Authors: | ZHANG Fan-long FAN Li-ya |
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| Abstract: | This paper is devoted to study the relations among pseudo prelnvexlty,pseudo Invexity and pseudo invariant monotonicity under limiting subdifferentials of locally Lipschitz functions.The results obtained here can be viewed as an improvement of the previous works for nonsmooth pseudo convex functions. |
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| Keywords: | pseudo preinvexity pseudo invexity pseudo invariant monotonicity |
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