Volume 42, Number 2, April-June 2008CIRO 05
|Page(s)||87 - 103|
|Published online||17 May 2008|
Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems
Université Cadi Ayyade, Faculté Polydisciplinaire de Safi, B.P. 4162, Safi, Morocco; email@example.com
2 Université Cadi Ayyad, Faculté des sciences Semlalia, Département de Mathématiques, B.P. 2390, Marrakech, Morocco; firstname.lastname@example.org
Accepted: 11 November 2007
In this paper, which is an extension of , 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.
Mathematics Subject Classification: 49K35 / 90C47 / 91A44 / 46N10
Key words: Min Sup problems / variational convergence / bilevel programming / d.c. programming.
© EDP Sciences, ROADEF, SMAI, 2008
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