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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.