| 集值映射Henig有效解的最优性条件 |
| |
| 引用本文： | 余丽.集值映射Henig有效解的最优性条件[J].宜春学院学报,2012,34(4):22-24. |
| |
| 作者姓名： | 余丽 |
| |
| 作者单位： | 宜春学院数学与计算机科学学院,江西宜春,336000 |
| |
| 基金项目： | 江西省自然科学基金(0611081) |
| |
| 摘 要： | 在锥偏序Banach空间中利用集值映射的上图导数引进了Henig有效意义下的广义梯度,在一定条件下,利用凸集分离定理证明了该广义梯度的存在性。作为应用,给出了用广义梯度刻画集值优化问题Henig有效解的充分条件。
|
| 关 键 词： | 集值映射 上图导数 Henig有效性 广义梯度 最优性条件 |
Optimality Conditions of Henig Efficient Solutions for Set-valued Mapping |
| |
| YU Li.Optimality Conditions of Henig Efficient Solutions for Set-valued Mapping[J].Journal of Yichun University,2012,34(4):22-24. |
| |
| Authors: | YU Li |
| |
| Institution: | YU Li(Institute of Mathematics and Computer of Science,Yichun University,Yichun 336000,China) |
| |
| Abstract: | The concept of the generalized gradient in sense of Henig efficiency is introduced by epiderivative for a set-valued map in ordered Banach spaces.Under some conditions,its existence is proved by the separation theorem for convex sets.As an application,the optimality sufficient condition of Henig-efficient solution for set-valued optimization problem is established in terms of the generalized gradient. |
| |
| Keywords: | Set-valued Mapping Epiderivative Henig Efficiency Generalized Gradient Optimality Condition |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
