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| 摘要: |
| 本文研究了在局部凸Hausdorff拓扑向量空间中的集值映射ε-严有效次梯度和ε-严有效次微分的问题.利用凸集分离定理的方法,获得了该次微分(次梯度)的存在性及它的一些性质,推广了一类参数扰动集值优化问题在ε-严有效意义下的稳定性的结果. |
| 关键词: 集值优化 ε-严有效性 次微分 次梯度 稳定性 |
| DOI： |
| 分类号:O221.6 |
| 基金项目:江西省自然科学基金(20122BAB211004);江西省教育厅科技项目(GJJ13696) |
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| THE SUBDIFFERENTIAL OF ε-STRICTLY EFFICIENT POINTS OF SET-VALUED MAPPING AND APPLICATION |
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YU Li
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| Abstract: |
| The paper deals with the ε-strictly efficient subgradient and ε-strictly efficient subdifferential for a set-valued mapping in locally convex Hausdorff topological vector spaces.By using the convex set separation theorem,the existence theorem for ε-strictly efficient subgradient (ε-strictly efficient subdifferential) is discussed.The stability problem for a kind of perturbed set-valued optimization problem is extended in the sense of ε-strictly efficiency. |
| Key words: set-valued optimization ε-strictly efficiency subdifferential subgradient stability |
