Approximate Optimality Conditions for Nonsmooth Optimization Problems

被引：0
|
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
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.
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页数：22
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