报告时间：2021/06/04 10:00-11:00 (GMT+08:00) 中国标准时间 - 北京

报告地点：https://meeting.tencent.com/s/Wsko0VPENHu6

      会议 ID：751 497 894

      手机一键拨号入会 +8675536550000,,751497894# (中国大陆)

                 +85230018898,,,2,751497894# (中国香港)

      根据您的位置拨号 +8675536550000 (中国大陆)

                  +85230018898 (中国香港)

报告人：杨晓琪教授（香港理工大学）

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.

邀请人：周育英