一、报告题目：Stability and scalarization for set optimization with Hausdorff continuity via free-disposal sets

二、报告人：彭再云 教授

三、时 间：2024年5月15日(周三) 下午 15:30-16:30

四、地 点：闻理园A4-305

报告摘要：The aim of this paper is to investigate well-posedness and scalarization for set optimization problems ($l$-SOP) with lower set order via free-disposal sets.Three kinds of well-posedness for ($l$-SOP) via free-disposal sets are proposed, and their relationships are shown. Then, some sufficient conditions for these kinds of well-posedness to ($l$-SOP) are obtained by using the Hausdorff $P$-continuity,  rather than the continuity in the sense of Berge. Furthermore, by employing the nonlinear scalarization technique, the scalar problem $\left( \mathrm{EP} \right) _{\mathcal{D}}$ is established, and the equivalence for solutions between  $\left( \mathrm{EP} \right) _{\mathcal{D}}$ and ($l$-SOP) is also discussed. Moreover, some examples are given to illustrate the main results. Tools and conditions used in this study and the obtained results are different form the existing ones in the literature.

报告人简介：彭再云，重庆交通大学教授，博士生导师，重庆市巴渝学者，重庆市高校中青年骨干教师，重庆市高校创新研究群体带头人，重庆市研究生导师团队带头人，重庆市学术技术带头人后备人选。中国运筹学会数学规划分会理事，重庆市数学会常务理事。主要研究最优化理论与算法，向量优化理论及应用，优化及相关问题解集稳定性。主持国家级项目2项，省部级以上项目10项，发表SCI论文60余篇。

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