Weak linear bilevel programming problems : Existence of solutions via a penalty method

By Abdelmalek Aboussoror, Abdelatif Mansouri. 2005

53 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/6f8eea577e6bc0382616674e31a9586a2ea271bf