华东师范大学学报（自然科学版）Issue(1)：17-23,7.DOI:10.3969/j.issn.1000-5641.2018.01.003
集值隐函数的似-Lipschitz性和相依导数
Lipschitz-likeness and contingent derivative of an implicit multifunction
摘要
Abstract
In this paper by introducing a key assumption,we prove that the key assumption is equivalent to the Robinson metric regularity of the implicit multifunction and that under some suitable conditions the key assumption is sufficient for the Lipschitzlikeness (metric regularity) of the implicit multifunction.Finally,we establish the specific expressions of the contingent derivative and the second-order contingent derivative for the implicit multifunction.关键词
集值隐函数/Robinson度量正则性/似-Lipschitz性/相依导数Key words
implictit multifunction/Robinson metric regularity/Lipschitz-likeness/contingent derivative分类
数理科学引用本文复制引用
王丽娜,方志苗,李明华..集值隐函数的似-Lipschitz性和相依导数[J].华东师范大学学报（自然科学版）,2018,(1):17-23,7.基金项目
重庆市教委科学技术研究项目(KJ1601102,KJ1501503) （KJ1601102,KJ1501503）
重庆市基础科学与前沿技术研究项目(cstc2016jcyjA0141,cstc2016jcyjA0270) （cstc2016jcyjA0141,cstc2016jcyjA0270）
重庆文理学院科学研究基金(R2016SC13) （R2016SC13）
