A note on "Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization" [Positivity 22:1371-1385 (2018)]

被引：0

作者：

Tang, Tian ^{[1
]}

Wang, Qilin ^{[1
]}

Zhang, Xiaoyan ^{[1
]}

Zhai, Yuwen ^{[1
]}

机构：

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

来源：

POSITIVITY | 2021年 / 25卷 / 04期

基金：

中国国家自然科学基金;

关键词：

The higher-order generalized Studniarski epiderivative; The converse dual theorem; Locally weak efficient solutions; OPTIMALITY CONDITIONS; EFFICIENT SOLUTIONS;

D O I：

10.1007/s11117-021-00836-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we establish a property of the higher-order generalized Studniarski epiderivative. By virtue of the property, we demonstrate that conditions (6) and (12) of Theorem 4.3 in Anh (Positivity 22:1371-1385, 2018) are incompatible. We provide a modification of Theorem 4.3 in Anh (Positivity 22:1371-1385, 2018). An example is given to illustrate the modified result.

引用

页码：1651 / 1657

页数：7

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