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报告题目：Relative stability of set-valued mappings via intersection-based coderivatives

报告人：吴朋程（讲师，苏州大学）

报告时间：2026年11月14日10:00~11:00

报告地点：惟真楼309会议室

报告摘要：This talk focuses on extending the Mordukhovich criterion to constrained parameter perturbations. The classical criterion characterizes the Aubin property of a set-valued mapping through the zero condition for its limiting coderivative. When parameters can vary only within a prescribed set, how can the coderivative account for feasible directions and yield a criterion that also applies at the boundary?

I first review projectional coderivatives and the generalized Mordukhovich criterion in finite dimensions. I then introduce an intersection-based construction that combines regular normals to the restricted graph with a dual constraint induced by the parameter tangent cone, before taking an appropriate outer limit. In reflexive Banach spaces, I discuss how the coderivative zero condition and partial sequential normal compactness (PSNC) together characterize the relative Aubin property. I also explain how the criterion applies to systems with both input constraints and output truncations.

报告人简介：吴朋程，苏州大学讲师，从事最优控制理论、集值映射的稳定性分析等研究工作，在 SIAM Journal on Optimization，Journal of Diferential Equations，Journal of Optimization Theory and Applications等期刊发表论文多篇。

邀请人：矫立国（jiaolg356@nenu.edu.cn）