Continuity of second-order contingent derivative of the efficient set map for parametrized multiobjective optimization

被引：2
|
作者：
Wang, Q. L. [1 ]
机构：
[1] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China
来源：
POSITIVITY | 2013年 / 17卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Parametrized multiobjective optimization; Efficient set maps; Second-order contingent derivatives; Upper semicontinuity and lower semicontinuity; SENSITIVITY-ANALYSIS; VALUED MAPPINGS; STABILITY;
D O I：
10.1007/s11117-012-0177-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, upper semicontinuity and lower semicontinuity are obtained for efficient set maps of parametrized multiobjective optimization. Several examples are provided to show the results obtained.
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页码：415 / 429
页数：15
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