广义内凸性与不变单调性之间的关系

J4 ›› 2008, Vol. 43 ›› Issue (5): 71-74 .doi:

广义内凸性与不变单调性之间的关系

李爱芹,范丽亚

聊城大学数学科学学院, 山东聊城 252059

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 李爱芹

Relations of generalized invariant monotonicity and invexity

LI Ai-qin, FAN Li-ya

Department of Mathematics, Liaocheng University, Liaocheng 252059, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LI Ai-qin

摘要/Abstract

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。

关键词: 广义不变单调; 广义内凸; 极限次微分

Abstract:

The relationships between generalized invexity of locally Lipschitz functions and generalized invariant monotonicity of corresponding limiting subdifferentials were studied. The results obtained can be viewed as an improvement of the previous results for non-smooth convex functions.

Key words: generalized invariant monotone; generalized invex; limiting subdifferential

中图分类号:

O178

李爱芹,范丽亚

. 广义内凸性与不变单调性之间的关系[J]. J4, 2008, 43(5): 71-74 .

LI Ai-qin,FAN Li-ya . Relations of generalized invariant monotonicity and invexity[J]. J4, 2008, 43(5): 71-74 .

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