Optimality conditions for semi-infinite programming problems involving generalized convexity

被引：7

作者：

Kanzi, Nader ^{[1
]}

Caristi, Giuseppe ^{[2
]}

Sadeghieh, Ali ^{[3
]}

机构：

[1] PNU, Dept Math, POB 19395-3697, Tehran, Iran

[2] Univ Messina, Dept Econ, Via Verdi 75, Messina, Italy

[3] Islamic Azad Univ, Yazd Branch, Dept Math, Yazd, Iran

来源：

OPTIMIZATION LETTERS | 2019年 / 13卷 / 01期

关键词：

Semi-infinite programming; Plastria function; Gutierrez functions; Optimality conditions; Linear characterization; CONSTRAINT QUALIFICATIONS; SYSTEMS; SUBDIFFERENTIALS;

D O I：

10.1007/s11590-018-1256-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We apply some advanced tools of quasiconvex analysis to establish Karush-Kuhn-Tucker type necessary and sufficient optimality conditions for non-differentiable semi-infinite programming problems. In addition, we propose a linear characterization of optimality for the mentioned problems. Examples are also designed to analyze and illustrate the results obtained.

引用

页码：113 / 126

页数：14

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