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New necessary and sufficient optimality conditions for strong bilevel programming problems

Author

Listed:
  • Abdelmalek Aboussoror

    (Université Cadi Ayyad)

  • Samir Adly

    (UMR-CNRS 6172)

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.

Suggested Citation

  • Abdelmalek Aboussoror & Samir Adly, 2018. "New necessary and sufficient optimality conditions for strong bilevel programming problems," Journal of Global Optimization, Springer, vol. 70(2), pages 309-327, February.
  • Handle: RePEc:spr:jglopt:v:70:y:2018:i:2:d:10.1007_s10898-018-0606-5
    DOI: 10.1007/s10898-018-0606-5
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    References listed on IDEAS

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