The global weak sharp minima with explicit exponents in polynomial vector optimization problems

被引：2

作者：

Tien Son Pham ^{[1
,2
]}

Xuan Duc Ha Truong ^{[3
]}

Yao, Jen-Chih ^{[4
]}

机构：

[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[3] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi 10307, Vietnam

[4] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

来源：

POSITIVITY | 2018年 / 22卷 / 01期

关键词：

Global weak sharp minima with explicit exponents; Vector optimization; Polynomials; LINEAR MULTIOBJECTIVE OPTIMIZATION; ERROR-BOUNDS; LOJASIEWICZ EXPONENT; SYSTEMS; SPACES;

D O I：

10.1007/s11117-017-0509-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we discuss the global weak sharp minima property for vector optimization problems with polynomial data. Exploiting the imposed polynomial structure together with tools of variational analysis and a quantitative version of Aojasiewicz's gradient inequality due to D'Acunto and Kurdyka, we establish the Holder type global weak sharp minima with explicitly calculated exponents.

引用

页码：219 / 244

页数：26

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