Total Lagrange duality for DC infinite optimization problems

被引：6
|
作者：
Fang, Donghui [1 ,2 ]
Chen, Zhe [3 ]
机构：
[1] Jishou Univ, Coll Math & Stat, Jishou 416000, Peoples R China
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[3] Sichuan Univ, Sch Business, Chengdu 610064, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
total Lagrange duality; constraint qualification; DC infinite optimization problem; TOTAL FENCHEL DUALITY; CLOSED CONVEX-SETS; CONSTRAINT QUALIFICATIONS; STRONG CHIP; SYSTEMS;
D O I：
10.1186/1687-1812-2013-269
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present some total Lagrange duality results for inequality systems involving infinitely many DC functions. By using properties of the subdifferentials of involved functions, we introduce some new notions of constraint qualifications. Under the new constraint qualifications, we provide necessary and/or sufficient conditions for the stable total Lagrange duality to hold.
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收藏
页数：16
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