Characterizations of set order relations and nonlinear scalarizations via generalized oriented distance function in set optimization

被引：2

作者：

Khushboo ^{[1
]}

Lalitha, C. S. ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Dept Math, Univ Delhi South Campus,Benito Juarez Rd, New Delhi 110021, India

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2023年 / 85卷 / 01期

关键词：

Set optimization; Nonlinear scalarization; Generalized oriented distance function; Semicontinuity; THEOREMS;

D O I：

10.1007/s10898-022-01203-6

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：

The aim of this paper is to establish scalar characterizations of minimal, weak minimal and strict minimal solutions in terms of a generalized oriented distance function defined on sets in real normed linear space with respect to a point in the space. Further, we study the lower and upper semicontinuity of the generalized oriented distance function.

引用

页码：235 / 249

页数：15

共 39 条

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