OPTIMALITY CONDITIONS OF FENCHEL-LAGRANGE DUALITY AND FARKAS-TYPE RESULTS FOR COMPOSITE DC INFINITE PROGRAMS

被引：3
|
作者：
LI, Gang [1 ]
Xu, Yinghong [1 ]
Qin, Zhenhua [2 ]
机构：
[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Peoples R China
[2] Zhejiang Inst Mech & Elect Engn, Dept Informat Technol, Hangzhou 310053, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2022年 / 18卷 / 02期
关键词：
DC programs; stable Farkas-type results; conical programming; stable strong duality; CONSTRAINT QUALIFICATIONS; OPTIMIZATION PROBLEMS; INEQUALITY SYSTEMS; CONVEX; LEMMAS;
D O I：
10.3934/jimo.2021019
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is concerned with a DC composite programs with infinite DC inequalities constraints. Without any topological assumptions and generalized increasing property, we first construct some new regularity conditions by virtue of the epigraph technique. Then we give some complete characterizations of the (stable) Fenchel-Lagrange duality and the (stable) Farkas type assertions. As applications, corresponding assertions for the DC programs with infinite inequality constraints and the conic programs with DC composite function are also given.
引用
收藏
页码：1275 / 1293
页数：19
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