讲座时间：2025年6月13日 14:55-16:55

讲座地点：沙河校区信息楼C521

讲座内容简介：

We consider vector and set optimization problems with respect to variable domination structures given by set-valued mappings acting between the preimage space and the image space of the objective mapping, as well as by set-valued mappings with the same input and output space, that coincides with the image space of the objective mapping. The aim of this paper is to derive necessary conditions for approximately nondominated points of problems with a single-valued objective function, employing an extension of Ekeland’s Variational Principle for problems with respect to variable domination structures in terms of generalized differentiation in the sense of Mordukhovich. For set-valued objective mappings, we derive necessary conditions for approximately nondominated points of problems with variable domination structure taking into account the incompatibility between openness and optimality and a directional openness result for the sum of set-valued maps. We describe the necessary conditions for approximately nondominated points of set optimization problems with variable domination structure in terms of the limiting (Mordukhovich) generalized differentiation objects.

主持人简介：

Christiane Tammer 德国马丁路德大学 (Martin-Luther-University) 数学研究所教授。在德国莱纳-梅尔塞堡工业大学（Technical University Merseburg）获得博士学位后，曾在德国莱比锡大学（University Leipzig）和加拿大皇家军事学院（Royal Military College of Canada）任客座教授，自1998以来一直在Martin-Luther-University任教授，曾任学术研究主任。

主办单位：商学院

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