报告人：彭再云（重庆交通大学 教授）
报告时间：6月19日下午15：30
报告地点：章辉楼442
联系人：宾红华教授
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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，重庆市运筹学会副理事长，重庆交通大学“优化理论及应用”科研创新团队带头人，教育部科技奖励评审专家等。研究方向为向量优化理论及应用。在《Journal of Optimization Theory and Applications》、《Journal of Global Optimization》、《Set-Valued and Variational Analysis》等重要学术期刊发表论文100余篇，其中SCI检索论文60余篇。 先后主持国家自然科学基金等省部级以上纵向科研项目近20项。
