Semi-Infinite Optimization under Convex Function Perturbations: Lipschitz Stability
Jen-Chih Yao
Center for General Education, China Medical University
Time: 9:20-10:00, Sept. 6
Venue:A1-512, Main Building
Abstract
This talk is devoted
to the study of the stability of the solution map for the parametric
convex semi-infinite optimization problem under convex function perturbations
in short, PCSI. We establish
sufficient conditions for the pseudo-Lipschitz property of the solution map of
PCSI under perturbations of both objective function and constraint set.
Examples are given to illustrate the obtained results.
Brief Biography:
姚任之教授是最优化领域的著名科学家,在向量优化、变分分析和均衡问题等领域的研究做出了杰出的贡献。姚任之教授发表高水平学术论文400余篇,连续多次入选汤森路透高被引科学家(2013-2016),曾担任台湾数学杂志主编,现为包括《Journal of Optimization Theory and Applications》在内的多个知名SCI收录期刊的编委。