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. © 2004 Elsevier Inc. All rights reserved.
Aboussoror, A., & Mansouri, A. (2005). Weak linear bilevel programming problems: Existence of solutions via a penalty method. Journal of Mathematical Analysis and Applications, 304(1), 399–408. https://doi.org/10.1016/j.jmaa.2004.09.033