Interval-valued vector optimization problems involving gen-eralized approximate convexity

被引：0

作者：

Jennane, Mohsine ^{[1
]}

Kalmoun, El Mostafa ^{[2
]}

El Fadil, Lhoussain ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Dept Math, FSDM, Fes, Morocco

[2] Al Akhawayn Univ Ifrane, Sch Sci & Engn, POB 104, Ifrane 53000, Morocco

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2022年 / 26卷 / 01期

关键词：

Interval-valued vector optimization; generalized approximate LU-e-convexity; interval vector variational inequalities; efficient solutions; TUCKER OPTIMALITY CONDITIONS; MINTY VARIATIONAL PRINCIPLE; PROGRAMMING-PROBLEMS;

D O I：

10.22436/jmcs.026.01.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Interval-valued functions have been recently used to accommodate data inexactness in optimization and decision theory. In this paper, we consider the case of interval-valued vector optimization problems, and derive their relationships to interval variational inequality problems, of both Stampacchia and Minty types. Using the concept of interval approximate convexity, we establish necessary and sufficient optimality conditions for local strong quasi and approximate efficient solutions.

引用

页码：67 / 79

页数：13

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