摘要
在实赋范空间中讨论集值优化问题的Global真有效解的最优性条件。首先在实赋范空间中给出集值优化问题Global真有效解的概念,其次借助于切上图导数建立了具广义锥-凸集值映射的集值优化问题的Global真有效解的Kuhn-Tucker型最优性条件。
The optimality conditions of global proper efficient solutions for set-valued optimization problems in real normed spaces are investigated.Firstly,the concepts of Global proper efficient solutions for set-valued optimization problem in real normed spaces is given.Secondly,the Kuhn-Tucker type optimality conditions for global proper efficient solutions of set-valued optimization problem with generalized cone-convex set-valued mappings are established by means of contingent epiderivative.
作者
孟旭东
万德龙
MENG Xudong;WAN Delong(School of Science and College,Nanchang Hangkong University,Nanchang 330034,China)
出处
《南昌大学学报（理科版）》
CAS
北大核心
2019年第1期15-18,共4页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(11201216)
江西省教育厅科学技术重点研究基金资助项目(GJJ181565)
江西省教育厅科学技术研究基金资助项目(GJJ161597
GJJ181567)
关键词
集值映射
广义锥凸性
Global真有效解
切上图导数
最优性条件
set-valued maps
generalized cone convexity
Global efficient solution
contingent epiderivative
optimality conditions
