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：

中国国家自然科学基金; 中国博士后科学基金;

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.

引用

页码：617 / 626

页数：10

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