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.

引用

页码：415 / 429

页数：15

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