集值优化问题ε-严有效解的广义高阶Fritz John型最优性条件  

Generalized Higher-order Fritz John Type Optimality Conditions for ε-Strictly Efficient Solutions in Set-valued Optimization Problems

作　　者：余丽[1] 

机构地区：[1]宜春学院数学与计算机科学学院,宜春336000

出　　处：《应用数学学报》2015年第3期568-576,共9页Acta Mathematicae Applicatae Sinica

基　　金：江西省教育厅科技项目(批准号:GJJ13696)资助

摘　　要：在实赋范线性空间中研究集值优化问题ε-严有效解的广义高阶Fritz John型最优性条件.利用Wang等引入的广义高阶锥方向邻接导数,在内部锥类凸假设下,借助凸集分离定理,获得了带广义不等式约束的集值优化问题ε-严有效解的广义高阶Fritz John型必要和充分条件.The generalized higher-order Fritz John type optimality conditions for c- strictly efficient solutions of set-valued optimization problems are discussed in real normed linear spaces. By virtue of the generalized higher-order cone-directed adjacent derivatives intro-duced by Wang ect, under the assumption of the ic- cone-convexlikeness, with the help of separate theorem for convex sets, the generalized higher-order Fritz John type necessary and sufficient optimality conditions for ε-strictly efficient solutions of set-valued optimization problems with generalized inequality constraints are obtained.

关 键 词：ε-严有效解 内部锥类凸性 广义m阶C-方向邻接导数 Fritz John型条件 

分 类 号：O224[理学—运筹学与控制论]