SECOND-ORDER WEAK SUBDIFFERENTIALS OF VECTOR-VALUED MAPS AND ITS APPLICATIONS TO OPTIMALITY CONDITIONS

被引：0

作者：

Wang, Qilin ^{[1
]}

Zhang, Yunsong ^{[1
]}

机构：

[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 08期

关键词：

Second-order weak subdifferentials; weakly efficient solutions; optimal- ity conditions; vector optimization problems; OPTIMIZATION; CALCULUS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new second-order weak subdifferential of nonconvex vector-valued maps by means of scalarization and discuss some of its properties. By virtue of the second-order weak subdifferential of vector-valued maps, we establish necessary optimality conditions and sufficient optimality conditions for weakly efficient solutions of unconstrained vector optimization problems and unconstrained composite vector optimization problems, respectively. Some examples are given to illustrate the main results obtained.

引用

页码：1853 / 1865

页数：13

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