报告题目：Scalarization and stability for set optimization problems via Hausdorff continuity involving general set less relations
报告人：彭再云教授 （重庆交通大学）
报告时间：2025年4月9日（星期三）16：30-17：30
报告地点：数学院102
报告摘要： The aim of this paper is to investigate the well-posedness and scalarization for set optimization problems where the solution concept is given by the lower set less relation induced by general (free-disposal) sets. We propose three kinds of well-posedness for set optimization problems via free-disposal sets and study their relationships. Some sufficient conditions for these kinds of well-posedness for set optimization problems are obtained under the Hausdorff P-continuity of the objective mapping of the set optimization problem, rather than the continuity in the sense of Berge. Furthermore, by employing a nonlinear scalarization technique by means of the oriented distance function, a corresponding scalar optimization problem is established, and the relationship between solutions of the set optimization problem where the solution concept is given by the lower set less relation induced by co-radiant sets and solutions of the scalarized problem is also discussed. Moreover, some examples are given to illustrate the main results
专家介绍：彭再云，重庆交通大学三级教授，博士生导师，重庆市“巴渝学者”特聘教授、重庆市学术技术带头人。重庆市运筹学会副理事长、重庆市系统工程学会常务理事、重庆市数学会常务理事、中国管理现代化研究会管理与决策科学专委会理事，中国运筹学会数学规划分会理事，重庆交通大学工程数学与力学研究所副所长、重庆交通大学首批“青年拔尖人才”。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项目3项(面上项目、国家外专计划项目、青年项目)、国家博士后基金特别资助项目（特助）、国家博士后基金面上项目（一等）、重庆市自然科学基金面上项目、重庆市教委科技重点项目等省部级以上纵向科研项目近20项。受邀到加拿大University of British Columbia（UBC）、香港理工大学(Polyu)、香港中文大学大数据研究院、中国科学院数学与系统科学研究院访问。2021年获重庆市自然科学奖三等奖、2017年获第九届中国决策科学学术年会“优秀论文奖”。国际期刊《Journal of Decision Making and Healthcare》《Optimization Eruditorum》《Journal of Mathematics》(SCI) 编委和国际期刊《Fixed Point Methods and Optimization》主编。

编辑：王苗   审核：蒋毅   终审：屈加文