应用数学和力学2024，Vol.45Issue(4)：502-508,7.DOI:10.21656/1000-0887.440245
非光滑半无限多目标优化的高阶KKT最优性充分条件
Higher-Order KKT Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization
摘要
Abstract
The nonsmooth semi-infinite multiobjective optimization problems were investigated.The higher-or-der weak KKT sufficient optimality conditions for strictly local efficient solutions were established in terms of higher-order lower Studniarski derivatives.Furthermore,under the assumption that all multipliers associated with objective functions are positive in optimality conditions,the higher-order strong KKT sufficient optimality conditions for strictly local Borwein-properly efficient solutions would be achieved.These sufficient optimality conditions were established without any convexity assumptions.关键词
半无限多目标优化/高阶Studniarski下导数/高阶KKT充分条件Key words
semi-infinite multiobjective optimization/higher-order lower Studniarski derivative/higher-order KKT sufficient condition分类
数学引用本文复制引用
曹琪,冯敏..非光滑半无限多目标优化的高阶KKT最优性充分条件[J].应用数学和力学,2024,45(4):502-508,7.基金项目
国家自然科学基金(12201085) （12201085）
重庆市自然科学基金(CSTB2023NSCQ-MSX0332) （CSTB2023NSCQ-MSX0332）
