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Weak linear bilevel programming problems: existence of solutions via a penalty method |
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| Authors: | Abdelmalek Aboussoror Abdelatif Mansouri |
| Affiliation: | a Centre des Etudes Universitaires de SAFI, Université Cadi Ayyad, Sidi Bouzid, B.P. 4162, SAFI, Morocco b Département de Mathématiques, Faculté des Sciences Semlalia, Université Cadi Ayyad, MAD, B.P. 2390, Marrakech, Morocco |
| Abstract: | We are concerned with a class of weak linear bilevel programs with nonunique lower level solutions. For such problems, we give via an exact penalty method an existence theorem of solutions. Then, we propose an algorithm. |
| Keywords: | Bilevel programming Linear programming Duality Penalty methods |
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