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

被引：0
|
作者：
Tiến Sơn Phạm
Xuân Ɖức Hà Trương
Jen-Chih Yao
机构：
[1] Ton Duc Thang University,Division of Computational Mathematics and Engineering, Institute for Computational Science
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] Vietnam Academy of Science and Technology,Institute of Mathematics
[4] Center for General Education,undefined
[5] China Medical University,undefined
来源：
Positivity | 2018年 / 22卷
关键词：
Global weak sharp minima with explicit exponents; Vector optimization; Polynomials; 49J53; 58C06; 90C29;
D O I：
暂无
中图分类号：
学科分类号：
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 Łojasiewicz’s gradient inequality due to D’Acunto and Kurdyka, we establish the Hölder type global weak sharp minima with explicitly calculated exponents.
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页码：219 / 244
页数：25
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