广义内凸性与不变单调性之间的关系(英文)  

Relations of generalized invariant monotonicity and invexity

作　　者：李爱芹[1] 范丽亚[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《山东大学学报（理学版）》2008年第5期71-74,81,共5页Journal of Shandong University(Natural Science)

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

关 键 词：广义不变单调 广义内凸 极限次微分 

分 类 号：O178[理学—数学]