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min sup problems

RAIRO - Operations Research (1)

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Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems
Abdelmalek Aboussoror, Abdelatif Mansouri
Journal:

RAIRO - Operations Research / Volume 42 / Issue 2 / April 2008

Published online by Cambridge University Press:

17 May 2008, pp. 87-103

Print publication:

April 2008
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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 bilevelproblems. Furthermore, for such a class of bilevel problems, wegive a relationship with appropriate d.c. problems concerning theexistence of solutions.