摘要
在实赋范线性空间中考虑集值优化问题的强有效性,借助集值映射的二阶切导数,利用基泛函及强有效元的性质,给出了目标函数为近似锥-次类凸时无约束集值优化问题的二阶导数型最优性的必要条件,并在锥-凸假设下给出了充分条件.
The strong efficiency of set-valued optimization in real normed spaces was solved by applying the second-order contingent derivatives,the properties of basic functional and strong efficient element.The second-order necessary optimality condition of unconstrained set-valued optimization was given for the objective function being nearly cone-subconvexlike,and sufficient condition was presented under cone-convexity hypothesis.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2011年第5期861-864,共4页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10461007)
江西省自然科学基金(批准号:2009GZS0021)
江西省教育厅科技项目(批准号:GJJ09069)
关键词
集值优化
二阶切导数
强有效元
set-valued optimization
second-order contingent derivative
strong efficient element
