| 复合优化问题的ε-对偶间隙性质和ε-强对偶 |
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| 引用本文： | 田利萍,方东辉.复合优化问题的ε-对偶间隙性质和ε-强对偶[J].吉首大学学报(自然科学版),2020,41(3):6-12. |
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| 作者姓名： | 田利萍 方东辉 |
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| 作者单位： | (吉首大学数学与统计学院，湖南 吉首 416000) |
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| 基金项目： | 国家自然科学基金;湖南省教育厅科学研究项目 |
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| 摘 要： | 利用共轭函数的上图性质,并引入2类新的约束规范条件,等价刻画了复合优化问题与其Lagrange对偶问题之间的ε-对偶间隙性质、εε-强对偶和ε-Farkas引理.
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| 关 键 词： | 复合优化 &epsilon -对偶间隙性质 &epsilon -强对偶 &epsilon -Farkas引理 |
Characterization of ε-Duality Gap Properties and ε-Strong Duality for Composite Optimization Problems |
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| TIAN Liping,FANG Donghui.Characterization of ε-Duality Gap Properties and ε-Strong Duality for Composite Optimization Problems[J].Journal of Jishou University(Natural Science Edition),2020,41(3):6-12. |
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| Authors: | TIAN Liping FANG Donghui |
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| Institution: | (College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China) |
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| Abstract: | By using the epigraph technique of conjugate functions, we give two new constraint qualifications. With these constraint qualifications,ε-duality gap properties,ε-strong duality andε-Farkas lemma between composite optimization problem and its Lagrange dual problem are established. |
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| Keywords: | composite optimization ε-duality gap properties ε-strong duality ε-Farkas lemma |
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