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.
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页码：719 / 734
页数：16
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