【摘要】：引進(jìn)了一種新的修正的二階切錐,借助此切錐針對(duì)集值映射引進(jìn)了一種新的二階切導(dǎo)數(shù),討論了它的若干性質(zhì).利用此修正的二階切導(dǎo)數(shù),引進(jìn)了一種新的在弱有效元意義下的二階次梯度,并建立了它的一個(gè)存在性定理.借助此二階次梯度給出了集值優(yōu)化弱有效元的一種新刻畫.
[Abstract]:A new modified second-order tangent cone is introduced, and a new second-order tangent derivative for set-valued mapping is introduced with the help of the tangent cone. Some properties of the tangent cone are discussed. By using the modified second order tangent derivative, a new second order subgradient in the sense of weak efficient element is introduced, and its existence theorem is established. A new characterization of set-valued optimization weak efficient elements is given with the help of the second-order subgradient.
【作者單位】： 南昌大學(xué)數(shù)學(xué)系;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(11461044) 江西省自然科學(xué)基金，

本文編號(hào)：2199238