Comments on "A Note on the Paper "Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors""

被引：6

作者：

Gadhi, Nazih Abderrazzak ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, FSDM, LAMA, Fes, Morocco

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2021年 / 189卷 / 03期

关键词：

Bilevel programming problem; Value function; Convexifactor; Constraint qualifications; Optimality conditions;

D O I：

10.1007/s10957-021-01864-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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.

引用

页码：938 / 943

页数：6

共 50 条

[1] Comments on “A Note on the Paper “Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors””
Nazih Abderrazzak Gadhi
[J]. Journal of Optimization Theory and Applications, 2021, 189 : 938 - 943
[2] A Note on the Paper “Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors”
Bhawna Kohli
[J]. Journal of Optimization Theory and Applications, 2019, 181 : 706 - 707
[3] A Note on the Paper "Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors"
Kohli, Bhawna
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 181 (02) : 706 - 707
[4] A NOTE ON THE PAPER "SUFFICIENT OPTIMALITY CONDITIONS USING CONVEXIFACTORS FOR OPTIMISTIC BILEVEL PROGRAMMING PROBLEM"
Gadhi, Nazih Abderrazzak
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021, 18 (05) : 3073 - 3081
[5] Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors
Bhawna Kohli
[J]. Journal of Optimization Theory and Applications, 2012, 152 : 632 - 651
[6] Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors
Kohli, Bhawna
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 152 (03) : 632 - 651
[7] Sufficient Optimality Conditions Using Convexifactors For Optimistic Bilevel Programming Problem
Department of Mathematics, P.G.D.A.V. College, University of Delhi, Delhi
110065, India
[J]. J. Ind. Manage. Optim., 1600, 6 (3209-3221):
[8] SUFFICIENT OPTIMALITY CONDITIONS USING CONVEXIFACTORS FOR OPTIMISTIC BILEVEL PROGRAMMING PROBLEM
Kohli, Bhawna
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021, 17 (06) : 3209 - 3221
[9] Optimality conditions using convexifactors for a multiobjective fractional bilevel programming problem
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[J]. TAMKANG JOURNAL OF MATHEMATICS, 2023, 54 (01): : 21 - 41
[10] Optimality and Duality Results for Bilevel Programming Problem Using Convexifactors
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[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (01) : 1 - 19

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