Constrained Extremum Problems and Image Space Analysis

讲座题目：Constrained Extremum Problems and Image Space Analysis

讲座时间：2023年12月7日星期四10:30-11:30

讲座地点：腾讯会议：727-832-275

主讲人简介：李声杰，重庆大学教授、博士生导师，重庆市学术技术带头人，中国运筹学会第八、九届理事，中国系统工程学会第七届理事和第八届常委理事，中国运筹学会数学规划分会第六、七届常务理事，中国运筹学会决策科学分会第三、四届常务理事，重庆市运筹学学会第二、三届副理事长，现为重庆市数学学会常务理事。2013 年1月获得教育部自然科学二等奖（排名第一），2014 至2018 年连续五年分别入选数学学科Elsevier 中国高被引学者榜单。主要从事最优化理论、方法与应用的研究工作，包括多目标最优化、向量变分不等式以及向量平衡问题等方面的研究工作，包括解的存在性、最优性条件、对偶、解集映射的稳定性和灵敏性分析等研究，目前已发表学术论文250 余篇，其中被SCI检索220余篇。

讲座内容简介:

Image space analysis is a new tool for studying scalar and vector constrained extremum problems as well as generalized systems. In the last decades, the introduction of image space analysis has shown that the image space associated with the given problem provides a natural environment for the Lagrange theory of multipliers and that separation arguments turn out to be a fundamental mathematical tool for explaining, developing and improving such a theory. This work aims at contributing to describe the state-of-the-art of image space analysis for constrained optimization and to stress that it allows us to unify and generalize the several topics of optimization. In this talk, necessary and sufficient optimality conditions, duality and penalization and generalized systems are treated. Some further developments are discussed in this talk.

主办：研究生院 承办：数学学院