和优化问题的松弛型Farkas引理

doi:10.13438/j.cnki.jdzk.2024.02.001

吉首大学学报（自然科学版） ›› 2024, Vol. 45 ›› Issue (2): 1-8.DOI: 10.13438/j.cnki.jdzk.2024.02.001

• 数学 • 下一篇

和优化问题的松弛型Farkas引理

曾昭辉,王俊颖,王仙云

(吉首大学数学与统计学院,湖南吉首 416000)

出版日期:2024-03-25 发布日期:2024-04-16
通讯作者: 王仙云（1976—）,女,湖南桑植人,吉首大学数学与统计学院副教授,主要从事最优化理论与方法研究.
作者简介:曾昭辉（1998—）,女,湖南邵阳人,吉首大学数学与统计学院硕士研究生,主要从事最优化理论与方法研究
基金资助:
国家自然科学基金资助项目（12261037）；吉首大学校级科研项目(JDY22001)

Relaxed Farkas Lemma for the Sum Optimization Problems

ZENG Zhaohui,WANG Junying,WANG Xianyun

(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

Online:2024-03-25 Published:2024-04-16

摘要/Abstract

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,建立了和优化问题的松弛型Farkas引理.

关键词： 和优化问题, 约束规范条件, 松弛型Farkas引理

Abstract: By using the properties of the epigraph of the conjugate functions and introducing two new constraint qualifications,the relaxed Farkas lemmas of the sum optimization problems are established.

Key words: sum optimization problem, constraint qualification, relaxed Farkas lemmas

曾昭辉, 王俊颖, 王仙云. 和优化问题的松弛型Farkas引理[J]. 吉首大学学报（自然科学版）, 2024, 45(2): 1-8.

ZENG Zhaohui, WANG Junying, WANG Xianyun . Relaxed Farkas Lemma for the Sum Optimization Problems[J]. Journal of Jishou University(Natural Sciences Edition), 2024, 45(2): 1-8.

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和优化问题的松弛型Farkas引理

Relaxed Farkas Lemma for the Sum Optimization Problems

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