WEAK NONLINEAR BILEVEL PROBLEMS: EXISTENCE OF SOLUTIONS VIA REVERSE CONVEX AND CONVEX MAXIMIZATION PROBLEMS

被引：9
|
作者：
Aboussoror, Abdelmalek [1 ]
Adly, Samir [2 ]
Jalby, Vincent [2 ]
机构：
[1] Univ Cadi Ayyad, Fac Polydisciplinaire Safi, Sidi Bouzid, Safi, Morocco
[2] Univ Limoges, Lab XLIM UMR CNRS 6172, Dept Math, F-87060 Limoges, France
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2011年 / 7卷 / 03期
关键词：
Two-level optimization; convex analysis; reverse convex programs; d.c; programs; GLOBAL OPTIMALITY CONDITIONS; PROGRAMMING-PROBLEMS;
D O I：
10.3934/jimo.2011.7.559
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, for a class of weak bilevel programming problems we provide sufficient conditions guaranteeing the existence of global solutions. These conditions are based on the use of reverse convex and convex maximization problems.
引用
收藏
页码：559 / 571
页数：13
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