徐州工程学院学报（自然科学版）2025，Vol.40Issue(3)：66-72,7.
存零约束优化问题的稳定性分析及二阶条件
Stability Analysis and Second-Order Optimality Conditions of Mathematical Program with Switching Constraints
摘要
Abstract
This paper is concerned with the multiplier stability and second-order optimality conditions for mathematical programs with switching constraints(MPSC).In the context of the No Nonzero Abnormal Multiplier Constraint Qualification(MPSC-NNAMCQ),it proved that the M-multiplier mapping and the stationary point mapping are both locally bounded and upper semicontinuous.Moreover,it proved that the strong second-order sufficient condition for the refinement of the MPSC problem at a feasible point is equivalent to the strong second-order sufficient condition for the refinement of the S-multiplier,as well as that the strong second-order necessary optimality condition holds without any constraint specification condition.关键词
存零约束/稳定性/连续性/约束规范/最优性条件Key words
switching constraints/stability/contiguity/restrictive norm/optimality condition分类
数理科学引用本文复制引用
唐磊,李高西,马伊婷..存零约束优化问题的稳定性分析及二阶条件[J].徐州工程学院学报（自然科学版）,2025,40(3):66-72,7.基金项目
国家自然科学基金项目(11901068) （11901068）
重庆市自然科学基金项目(CSTB2022NSCQ-MSX0606) （CSTB2022NSCQ-MSX0606）
重庆市研究生导师团队建设项目(yds223010) （yds223010）
