伪预内凸性、伪内凸性和伪不变单调性之间的关系(英文)

Relations Among Pseudo-preinvexity,Pseudo-invexity and Pseudo-invariant Monotonicity

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.

This paper is devoted to study the relations among pseudo premvexlty,pseuao 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.