Abstract
Necessary optimality conditions for a bilevel optimization problem are given in the paper by Kohli (J Optim Theory Appl 152: 632–651, 2012). Recently, the same author corrected his results in the note (J Optim Theory Appl 181:706–707, 2019). In this work, we have pointed out that some of the new modifications are wrong. We correct the flaws and present an alternative proof for the main result.
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Our sincere acknowledgements to the anonymous referees for their insightful remarks and suggestions.
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Communicated by Boris S. Mordukhovich.
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Gadhi, N.A. Comments on “A Note on the Paper “Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors””. J Optim Theory Appl 189, 938–943 (2021). https://doi.org/10.1007/s10957-021-01864-5
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DOI: https://doi.org/10.1007/s10957-021-01864-5
Keywords
- Bilevel programming problem
- Value function
- Convexifactor
- Constraint qualifications
- Optimality conditions