New necessary and sufficient optimality conditions for strong bilevel programming problems

Abdelmalek Aboussoror () and Samir Adly ()
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Abdelmalek Aboussoror: Université Cadi Ayyad
Samir Adly: UMR-CNRS 6172

Journal of Global Optimization, 2018, vol. 70, issue 2, No 2, 309-327

Abstract: Abstract In this paper we are interested in a strong bilevel programming problem (S). For such a problem, we establish necessary and sufficient global optimality conditions. Our investigation is based on the use of a regularization of problem (S) and some well-known global optimization tools. These optimality conditions are new in the literature and are expressed in terms of $$\max $$ max – $$\min $$ min conditions with linked constraints.

Keywords: Two-level optimization; Convergence of multifunctions; Reverse convex problems; Global optimization tools; 91A65; 90C31; 90C26 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10898-018-0606-5

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