Comments on “A Note on the Paper “Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors””
Nazih Abderrazzak Gadhi ()
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Nazih Abderrazzak Gadhi: Sidi Mohamed Ben Abdellah University
Journal of Optimization Theory and Applications, 2021, vol. 189, issue 3, No 12, 938-943
Abstract:
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.
Keywords: Bilevel programming problem; Value function; Convexifactor; Constraint qualifications; Optimality conditions; 90C26; 90C29; 90C30; 90K46 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-021-01864-5
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