New vectorial versions of Takahashi's nonconvex minimization problem

被引：5

作者：

Khazayel, B. ^{[1
]}

Farajzadeh, A. ^{[1
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, POB 67149-67346, Kermanshah, Iran

来源：

OPTIMIZATION LETTERS | 2021年 / 15卷 / 03期

关键词：

Nonconvex minimization problem; Scalarization; Algebraic closure; Algebraic interior; Vector optimization; Efficiency; Vector-valued function; EQUIVALENT FORMULATIONS; VARIATIONAL PRINCIPLE; DROP THEOREM;

D O I：

10.1007/s11590-019-01521-x

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this article, some new vectorial versions of Takahashi's nonconvex minimization theorem, which involve algebraic notions instead of topological notions, are established. A nonlinear separation theorem, which extends the result derived by Gerth and Weidner (JAMA 67:297-320, 1990) to general linear spaces (not necessarily endowed with a topology), is proved. Some examples, in order to illustrate and compare the results of this article with the corresponding known results from the literature, are provided.

引用

页码：847 / 858

页数：12

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