ISOLATED CALMNESS OF EFFICIENT POINT MULTIFUNCTIONS IN PARAMETRIC VECTOR OPTIMIZATION

被引：0

作者：

Thai Doan Chuong ^{[1
]}

Yao, Jen-Chih ^{[2
]}

机构：

[1] Saigon Univ, Dept Math & Applicat, Ho Chi Minh City, Vietnam

[2] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 807, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2013年 / 14卷 / 04期

关键词：

Parametric vector optimization; efficient point multifunction; isolated calmness; contingent derivative; stability theory; SENSITIVITY-ANALYSIS; MULTICRITERIA OPTIMIZATION; LOWER SEMICONTINUITY; STABILITY; CONTINUITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper the stability theory of the efficient point multifunction of a parametric vector optimization problem is considered. We establish new sufficient conditions for this efficient point multifunction to be isolatedly calm at a given point in its graph. Furthermore, the elaboration of these conditions in a broad class of conventional vector optimization problems is undertaken as well as examples are also provided for analyzing and illustrating the results obtained.

引用

页码：719 / 734

页数：16

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