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.
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页码：235 / 249
页数：15
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