4.5 Article

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

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 304, Issue 1, Pages 399-408

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2004.09.033

Keywords

bilevel programming; linear programming; duality; penalty methods

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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. (c) 2004 Elsevier Inc. All rights reserved.

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