Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems

Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems

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Article ID: iaor20091399
Country: France
Volume: 42
Issue: 2
Start Page Number: 87
End Page Number: 103
Publication Date: Apr 2008
Journal: RAIRO Operations Research
Authors: ,
Keywords: programming (bilevel)
Abstract:

In this paper, which is an extension of earlier work, 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.

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