摘要
在实赋范线性空间中考虑集值优化问题的严有效性.利用高阶导数的性质给出了受约束于固定集的集值优化问题取得严最大有效解的高阶导数型最优性必要条件.当目标函数为锥凹集值映射时,利用严最大有效点的性质得到集值优化问题取得严最大有效解的充分条件.
The strict efficiency of set-valued optimization is considered in real normed spaces.By applying the properties of higher-order derivatives,higher-order type necessary optimality condition is established for a set-valued optimization problem whose constraint condition is determined by a fixed set to attain its strictly maximal efficient solution.When objective function is concave,with the properties of strictly maximal efficient point,sufficient optimality condition is also derived.
出处
《运筹学学报》
CSCD
2011年第2期103-109,共7页
Operations Research Transactions
基金
国家自然科学基金(10461007)
江西省自然科学基金(2009GZS0021)
江西省教育厅科技项目(GJJ09069)
