Sensitivity analysis in vector optimization

被引：35

作者：

Lee, G. M. ^{[1
]}

Huy, N'. Q.

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

[2] Hanoi Pedagog Univ, Dept Math, Hanoi, Vietnam

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 03期

关键词：

vector optimization; multiftinction; efficient solution map; efficient frontier map; proto-derivative;

D O I：

10.11650/twjm/1500404767

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to devote to the sensitivity analysis in vector optimization problems. We prove that, under some suitable qualification conditions, the efficient solution map and efficient frontier of a parameterized vector optimization problem are proto-differentiable. It also provide two sufficient conditions for inner and outer approximation of the proto-derivative of the efficient frontier map.

引用

页码：945 / 958

页数：14

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