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Comments on “A Note on the Paper “Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors””
Journal of Optimization Theory and Applications ( IF 1.6 ) Pub Date : 2021-05-27 , DOI: 10.1007/s10957-021-01864-5 Nazih Abderrazzak Gadhi
中文翻译:
评论“关于“使用凸面因子的乐观双层规划问题的最优条件”一文的注释”
更新日期:2021-05-28
Journal of Optimization Theory and Applications ( IF 1.6 ) Pub Date : 2021-05-27 , DOI: 10.1007/s10957-021-01864-5 Nazih Abderrazzak Gadhi
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.
中文翻译:
评论“关于“使用凸面因子的乐观双层规划问题的最优条件”一文的注释”
Kohli 的论文 (J Optim Theory Appl 152: 632–651, 2012) 中给出了双层优化问题的必要最优性条件。最近,同一作者在注释中更正了他的结果(J Optim Theory Appl 181:706-707, 2019)。在这项工作中,我们已经指出了一些新的修改是错误的。我们纠正了缺陷并为主要结果提供了替代证明。