大连理工大学学报2026，Vol.66Issue(2)：209-215,7.DOI:10.7511/dllgxb202602014
基于改进集的参数集优化问题Lipschitz连续性
Lipschitz continuity for parametric set optimization problems via improved sets
摘要
Abstract
The Lipschitz continuity of parameter set optimization problems for a class of improved sets in topological linear spaces is studied.Using the set upper(lower)order of improved sets,the solution mapping and the optimal value mapping of the parameter set optimization problems are given.Under the basic assumption of Lipschitz continuity between the objective function and the constraint function,Lipschitz continuity theorems for the solution mapping and the optimal value mapping of the parameter set optimization problems are obtained using the analytical method.Some examples are given to verify the effectiveness of the obtained results.关键词
集优化问题/Lipschitz连续性/解映射/最优值映射/改进集Key words
set optimization problem/Lipschitz continuity/solution mapping/optimal value mapping/improvement set分类
数理科学引用本文复制引用
孟旭东,郭林,张传美..基于改进集的参数集优化问题Lipschitz连续性[J].大连理工大学学报,2026,66(2):209-215,7.基金项目
江西省自然科学基金资助项目(20232BAB201003) （20232BAB201003）
江西省教育厅科学技术重点项目(GJJ191614,GJJ218701) （GJJ191614,GJJ218701）
2024年度市县联动科研攻关试点项目自然科学基金(2025-001116). （2025-001116）
