应用数学2018，Vol.31Issue(3)：498-504,7.
集值映射向量优化问题的精确罚函数镇定性和稳定性
Calmness,Stability and Exact Penalty Function for Vector Optimization Problems of Set-Valued Maps
摘要
Abstract
Calmness and stability are very important conditions in the theory of exact penalty function because they are sufficient conditions for the exactness of the penalty function. In this paper, based on the cone-weakly efficient solution to vector optimization problem (VOP for short) of set-valued maps, new concepts of calmness and stability are presented and their properties are discussed. We prove that the penalty function of the VOP with set-valued maps is exact under these concepts.关键词
集值映射向量优化问题/K-弱有效解/镇定性/稳定性/精确罚函数Key words
Vector optimization problems of set-valued map/K-weakly efficient solution/Calmness/Stability/Exact Penalty function分类
数理科学引用本文复制引用
蒋敏,沈瑞,孟志青..集值映射向量优化问题的精确罚函数镇定性和稳定性[J].应用数学,2018,31(3):498-504,7.基金项目
Supported by the Natural Science Foundation of Zhejiang Province(LY18A010031)and the National Natural Science Foundation of China(11271329) （LY18A010031）
