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ag视讯大厅:2020-01-10文章来源:ag视讯大厅浏览次数:131

报告题目:Lipschitz-like property relative to a set and the generalized Mordukhovich criterion

   人:杨晓琪 教授(香港理工大学)

报告时间:2020114日(星期二)上午10:00-11:00             

报告地点:4号楼 318

   人:潘少华 教授

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ag视讯大厅

2020 1 10

报告摘要:

In this paper we will establish some necessary condition and sufficient condition respectively for a set-valued mapping to have the Lipschitz-like property relative to a closed set by employing regular normal cone and limiting normal cone of a restricted graph of the set-valued mapping. We will obtain a complete characterization for a set-valued mapping to have the Lipschitz-property relative to a closed and convex set by virtue of the projection of the coderivative onto a tangent cone. Furthermore, by introducing a projectional coderivative of set-valued mappings, we establish a verifiable generalized Mordukhovich criterion for the Lipschitz-like property relative to a closed and convex set. We will study the representation of the graphical modulus of a set-valued mapping relative to a closed and convex set by using the outer norm of the corresponding projectional coderivative value. For an extended real-valued function, we will apply the obtained results to investigate its Lipschitz continuity relative to a closed and convex set and the Lipschitz-like property of a level-set mapping relative to a half line.

 

报告人概况:

杨晓琪1994年博士毕业于澳大利亚新南威尔士大学应用数学系。现任香港理工大学应用数学系教授,博士生导师。主要从事非线性最优化的研究及其在金融问题中的应用,已经在 Management ScienceOperations ResearchMathematics of Operations ResearchSIAM Journal on Optimization 等国际刊物发表 200 多篇学术论文。撰写了3本专著。先后主持香港政府基金项目 16 项,2000 年获美国 ISI 经典引用奖(ISI Citation Classic Award),20012018年获香港理工大学校长杰出贡献奖,2006 年获得重庆市自然科学一等奖。2008年及2014年分别与重庆师范大学合作成功申请到国家重点项目

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