IMAGE OF A PARAMETRIC OPTIMIZATION PROBLEM AND CONTINUITY OF THE PERTURBATION FUNCTION

被引：15

作者：

MASTROENI, G

PAPPALARDO, M

YEN, ND

机构：

[1] UNIV PISA,DEPT MATH,I-56100 PISA,ITALY

[2] NCSR VIETNAM,INST MATH,DEPT DYNAM SYST,HANOI,VIETNAM

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1994年 / 81卷 / 01期

关键词：

IMAGE SPACE; PARAMETRIC PROBLEMS; MARGINAL FUNCTION; SEMICONTINUITY;

D O I：

10.1007/BF02190319

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this note, we consider the notion of the image of a parametric optimization problem and show that the lower semicontinuity and upper semicontinuity properties of its marginal function can be equivalently expressed as two geometric relations in the image space. These results generalize some existing statements in the literature.

引用

页码：193 / 202

页数：10

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