On the characterization of D-preinvex functions

被引：0
|
作者：
Taiyong Li
Min Huang
机构：
[1] Zhejiang A & F University,Tianmu College
[2] Zhejiang A & F University,School of Economy and Management
来源：
Journal of Inequalities and Applications | / 2012卷
关键词：
-preinvex functions; -semistrictly preinvex functions; -strictly preinvex functions; semicontinuity;
D O I：
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学科分类号：
摘要：
In (J. Inequal. Appl. 2006:9532, 2006), Peng and Zhu discussed interrelations among D-preinvexity, D-semistrict preinvexity, and D-strict preinvexity for vector-valued functions. In this note, we show that the same results or even more general ones can be obtained under weaker assumptions. We also give a new characterization of D-preinvexity and D-semistrict preinvexity under mild conditions.
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