Approximate Optimality Conditions for Nonsmooth Optimization Problems

被引：1

作者：

Son, Ta Quang ^{[1
]}

Bao, Hua Khac ^{[2
]}

Kim, Do Sang ^{[3
]}

机构：

[1] Saigon Univ, Fac Math & Applicat, Hochiminh City, Vietnam

[2] Doan Thi Diem Secondary Sch, D3, Hochiminh City, Vietnam

[3] Pukyong Natl Univ, Dept Appl Math, Pusan 48513, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2024年 / 28卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

epsilon-quasi solution; epsilon-quasi subdifferential; epsilon-quasi normal set; approximate optimal- ity condition; PROGRAMMING PROBLEM; EPSILON-OPTIMALITY; INFINITE NUMBER; SUBDIFFERENTIALS; DUALITY;

D O I：

10.11650/tjm/240705

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this research article, a concept of E.-quasi subdifferential for locally Lipschitz functions is proposed. Calculuses of scalar product rule and sum rule for E.-quasi subdifferentials are investigated. A notion of E.-quasi normal set is introduced and its properties are presented. Based on the obtained results, optimality conditions for E.-quasi solutions in Karush-Kuhn-Tucker type of some classes of nonsmooth optimization problems are established. Several illustrative examples are also given.

引用

页码：1245 / 1266

页数：22

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