ε-严最大有效意义下集值优化的高阶最优性条件  

Higher-order Optimality Conditions of Set-valued Optimization with ε-Strictly Maximal Efficiency

作　　者：余丽[1] 

机构地区：[1]宜春学院数学与计算机科学学院,江西宜春336000

出　　处：《宜春学院学报》2013年第6期26-27,共2页Journal of Yichun University

基　　金：江西省自然科学基金(0611081)

摘　　要：在实赋范线性空间中讨论集值优化问题ε-严最大有效解的高阶最优性条件。利用Li等引入的高阶导数,借助ε-严最大有效解的性质,给出了受约束于固定集的集值优化问题取得ε-严最大有效解的高阶导数型最优性必要条件。The higher-order optimality conditions of 8 - strictly maximal efficient solutions was considered in real normed spaces. By applying the properties of higher - order derivatives introduced by Li et al, and the properties of 8 - strictly maximal efficient solutions, higher - order type necessary optimality condition was established for a set - valued optimization problem whose constraint condition was determined by a fixed set to attain its e - strictly maximal efficient solution.

关 键 词：ε-严最大有效解 m-阶Contingent切导数 必要条件 最优性条件 

分 类 号：O221[理学—运筹学与控制论]