向量集值优化问题真有效解的最优性充分条件  

Sufficient conditions for the optimality of the true efficient solutions of vector set-valued optimization problems

作　　者：万莉娟[1] 宇世航[1] 李月秋[1] 马占春[1] WAN Lijuan;YU Shihang;LI Yueqiu;MA Zhanchun(School of Science,Qiqihar University,Qiqihar 161006,China)

机构地区：[1]齐齐哈尔大学理学院

出　　处：《高师理科学刊》2020年第1期6-8,共3页Journal of Science of Teachers＇College and University

基　　金：黑龙江省教育厅基本业务专项(135309474)

摘　　要：借助集值映射的径向上图导数和余切上图导数,给出了向量集值优化问题取得Henig有效解、super有效解和正定真有效解的最优性充分条件.By using of the radial epiderivative and contingent epiderivative of set-valued map,the sufficient optimality conditions for obtaining Henig efficient solution,super efficient solution and positive definite true efficient solution of vector set-valued optimization problems are given.

关 键 词：向量集值优化 有效解 上图导数 最优性条件 

分 类 号：O177.91[理学—数学]