Minimizing the difference of two quasiconvex functions over a vector-valued quasiconvex system

被引：0
|
作者：
Dempe, Stephan [1 ]
Gadhi, Nazih Abderrazzak [2 ]
Hamdaoui, Khadija [2 ]
机构：
[1] Tech Univ Bergakad Freiberg, Dept Math & Comp Sci, Freiberg, Germany
[2] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mehrez, Fes, Morocco
来源：
OPTIMIZATION | 2020年 / 69卷 / 05期
关键词：
Basic constraint qualification; quasiconvex functions; generators; extreme directions; Q-subdifferentials; CONSTRAINT QUALIFICATIONS;
D O I：
10.1080/02331934.2019.1672166
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 article is concerned with an optimization problem where we minimize the difference of two quasiconvex scalar functions under a vector-valued quasiconvex system. Using the Q-subdifferential introduced by Suzuki and Kuroiwa [Optimality conditions and the basic constraint qualification for quasiconvex programming. Nonlinear Anal. 2011;74:1279?1285], together with a special constraint qualification, we give necessary optimality conditions to (P).
引用
收藏
页码：997 / 1012
页数：16
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