| Issue |
RAIRO-Oper. Res.
Volume 42, Number 2, April-June 2008
CIRO 05
|
|
|---|---|---|
| Page(s) | 87 - 103 | |
| DOI | https://doi.org/10.1051/ro:2008012 | |
| Published online | 17 May 2008 | |
Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems
1
Université Cadi Ayyade, Faculté Polydisciplinaire de Safi, B.P. 4162, Safi, Morocco; aboussororabdel@hotmail.com
2
Université Cadi Ayyad, Faculté des sciences Semlalia, Département de Mathématiques,
B.P. 2390, Marrakech, Morocco; mansouri@ucam.ac.ma
Received:
1
September
2006
Accepted:
11
November
2007
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.
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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