Necessary optimality conditions for DC infinite programs with inequality constraints

被引：3
|
作者：
Sun, Xiang-Kai [1 ,3 ]
Guo, Xiao-Le [2 ]
Zeng, Jing [1 ]
机构：
[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
[2] Southwest Univ Polit Sci & Law, Sch Econ, Chongqing 401120, Peoples R China
[3] Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 02期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
DC infinite programming; regularity conditions; optimality; conic programming; FENCHEL-LAGRANGE DUALITY; EXTENDED FARKASS LEMMAS; OPTIMIZATION PROBLEMS; VECTOR OPTIMIZATION; QUALIFICATIONS; DIFFERENCE; SPACES;
D O I：
10.22436/jnsa.009.02.25
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first recall the regularity conditions introduced by Sun in [X. K. Sun, J. Math. Anal. Appl., 414 (2014), 590-611]. Then, by using these regularity conditions, we obtain some necessary optimality conditions for 6-optimal solution and exact optimal solution of a DC infinite programming problem with inequality constraints. Moreover, we also apply the obtained results to conic programming problems. (C) 2016 All rights reserved.
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页码：617 / 626
页数：10
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