ON ε-SOLUTIONS FOR SEMIDEFINITE LINEAR FRACTIONAL OPTIMIZATION PROBLEMS

被引：0

作者：

Kim, Gwi Soo ^{[1
]}

Lee, Gue Myung ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

semidefinite linear fractional optimization problem; sequential optimal-ity conditions; constraint qualifications; epsilon-weak duality theorem; epsilon-strong duality theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study epsilon-solutions for a semidefinite linear fractional optimiza-tion problem (SLF). We obtain sequential optimality theorems for epsilon-solutions for (SLF), which are expressed with sequences and hold without any constraint qual-ification. Moreover, we formulate the non-fractional dual problem of (SLF) and then prove the sequential duality theorems (epsilon-weak duality theorem and epsilon-strong duality theorem), which holds without any constraint qualification.

引用

页码：87 / 98

页数：12

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