集值映射ε-强有效性的广义ε-Moreau-Rockafellar定理  

Generalized ε-Moreau-Rockafellar Theorem forε-strong Efficiency of Set-valued Mappings

作　　者：余丽[1] YU Li(Institute of Mathematics and Computer of Science, Yichun College, Yichun 336000, Jiangx)

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：《四川师范大学学报（自然科学版）》2016年第6期861-864,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：江西省教育厅科技项目(GJJ151036)

摘　　要：在局部凸Hausdorff拓扑线性空间中研究集值映射ε-强次梯度的性质,利用集值映射ε-弱次梯度的广义ε-Moreau-Rockafellar定理,借助ε-强次梯度的概念和凸集分离定理,建立了集值映射关于ε-强有效性的广义ε-Moreau-Rockafellar定理.In this paper,the property of ε-strong subgradient for set-valued mappings is considered in locally convex Hausdorff topological linear space.By using the generalized ε-Moreau-Rockafellar theorem for ε-weak subgradient of the set-valuedmappings,the generalized ε-Moreau Rockafellar theorem for ε-strong efficiency is derived with the help of the concept of ε-strong subgradient and the separation theorem for convex sets.

关 键 词：ε-强有效解 次梯度 广义ε-Moreau-Rockafellar定理 

分 类 号：O221.6[理学—运筹学与控制论]