集值隐函数的似-Lipschitz性和相依导数

基金项目:

重庆市教委科学技术研究项目 KJ1601102

重庆市教委科学技术研究项目 KJ1501503

重庆市基础科学与前沿技术研究项目 cstc2016jcyjA0141

重庆市基础科学与前沿技术研究项目 cstc2016jcyjA0270

重庆文理学院科学研究基金 R2016SC13

Lipschitz-likeness and contingent derivative of an implicit multifunction

1.
Chongqing Water Resources and Electric Engineering College, Chongqing 402160, China
2.
Department of Basic Courses, Chongqing Police College, Chongqing 401331, China
3.
College of Mathematics and Finance, Chongqing University of Arts and Sciences Chongqing 402160, China

摘要: 通过引入关键性假设，证明关键性假设与集值隐函数的Robinson度量正则性等价，并且在适当条件下证明了这个关键性假设是集值隐函数的似-Lipschitz性的充分条件.最后建立了集值函数的相依导数和二阶相依导数表达式.
- 集值隐函数 /
- Robinson度量正则性 /
- 似-Lipschitz性 /
- 相依导数
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 Lipschitz-likeness (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.
- implictit multifunction /
- Robinson metric regularity /
- Lipschitz-likeness /
- contingent derivative

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