Existence of solutions to weak nonlinear bilevel problems <i>via</i> MinSup and d.c. problems

作     者：Aboussoror, Abdelmalek Mansouri, Abdelatif 

作者机构：Univ Cadi Ayyade Fac Polydisciplinaire Safi Safi Morocco Univ Cadi Ayyade Fac Sci Semlalia Dept Math Marrakech Morocco 

出 版 物：《RAIRO-OPERATIONS RESEARCH》 (法国自动化、信息与运筹学；运筹学)

年 卷 期：2008年第42卷第2期

页      面：87-102页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

主　　题：Min Sup problems variational convergence bilevel programming d.c. programming 

摘      要：In this paper, which is an extension of [4], we first show the existence of solutions to a class of Min Sup problems with linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel problems. Furthermore, for such a class of bilevel problems, we give a relationship with appropriate d.c. problems concerning the existence of solutions.