A Note on Optimality Conditions for DC Programs Involving Composite Functions

被引：0
|
作者：
Sun, Xiang-Kai [1 ,2 ]
Fu, Hong-Yong [3 ]
机构：
[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
[2] Chongqing Univ, Coll Automat, Chongqing 400030, Peoples R China
[3] Southwest Univ Polit Sci & Law, Sch Management, Chongqing 401120, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
EXTENDED FARKASS LEMMAS; LOCALLY CONVEX-SPACES; OPTIMIZATION PROBLEMS; CONSTRAINT QUALIFICATIONS; FENCHEL DUALITY;
D O I：
10.1155/2014/203467
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the formula of the epsilon-subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained. As applications, a composed convex optimization problem, a DC optimization problem, and a convex optimization problem with a linear operator are examined at the end of this paper.
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页数：6
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