FR\'ECHET SECOND-ORDER SUBDIFFERENTIALS OF LAGRANGIAN FUNCTIONS AND OPTIMALITY CONDITIONS

被引：0
|
作者：
An, Duong Thi Viet [1 ,2 ]
Xu, Hong-Kun [3 ]
Yen, Nguyen Dong [4 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Management, Hangzhou 310018, Peoples R China
[2] Thai Nguyen Univ Sci, Dept Math & Informat, Thai Nguyen 25000, Vietnam
[3] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China
[4] Vietnam Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam
来源：
SIAM JOURNAL ON OPTIMIZATION | 2023年 / 33卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
minimization problem on Banach spaces; cone constraint; tangent set; Lagrange multiplier; Fre'; chet second-order subdifferential; second-order necessary optimality condition; second-order sufficient optimality condition; OPTIMIZATION; REGULARITY; STABILITY; MATRICES;
D O I：
10.1137/22M1512454
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish some new results on second-order (necessary and sufficient) optimality conditions for minimization problems with abstract constraints in infinite-dimensional spaces, where the objective functions are only assumed to be C1-smooth. For doing so, we apply the concept of Fre'\chet (regular) second-order subdifferential from variational analysis to the Lagrangian function of the problem under investigation. Our results extend and refine several existing ones.
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页码：766 / 784
页数：19
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