Second-order Karush/Kuhn-Tucker conditions and duality for constrained multiobjective optimization problems

被引：0

作者：

Liu, Luyu ^{[1
]}

Chen, Jiawei ^{[1
]}

Kobis, Elisabeth ^{[2
]}

Lv, Yibing ^{[3
]}

Ou, Xiaoqing ^{[4
,5
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China

[2] Norwegian Univ Sci & Technol NTNU, Dept Math Sci, Trondheim, Norway

[3] Yangtze Univ, Sch Informat & Math, Jingzhou, Peoples R China

[4] Chongqing Coll Humanities Sci & Technol, Coll Management, Chongqing, Peoples R China

[5] NorthMinzu Univ, Sch Math & Informat Sci, Yinchuan, Peoples R China

来源：

OPTIMIZATION | 2024年

关键词：

Constrained multiobjective optimization; second-order KKT condition; duality; strong KKT necessary condition; second-order Wolfe-type dual problem; DIFFERENTIABLE VECTOR OPTIMIZATION; OPTIMALITY CONDITIONS; EFFICIENCY;

D O I：

10.1080/02331934.2024.2396053

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：

In this paper, we investigate the second-order strong Karush/Kuhn-Tucker conditions and duality of a constrained multiobjective optimization problem (CMOP). Exploiting a second-order regularization condition, we obtain second-order strong KKT necessary conditions of Borwein-properly efficient solution of CMOP without convexity assumptions. Further, second-order sufficient conditions for the second-order KKT point to be an efficient solution of CMOP are derived under the generalized second-order convexity assumptions. Finally, we establish duality results between CMOP and its second-order Wolfe-type dual problem.

引用

页数：23

共 50 条

[1] Second-Order Strong Karush/Kuhn-Tucker Conditions for Proper Efficiencies in Multiobjective Optimization
Feng, Min
Li, Shengjie
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 181 (03) : 766 - 786
[2] Second-order Kuhn-Tucker invex constrained problems
Vsevolod I. Ivanov
[J]. Journal of Global Optimization, 2011, 50 : 519 - 529
[3] Second-order Kuhn-Tucker invex constrained problems
Ivanov, Vsevolod I.
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2011, 50 (03) : 519 - 529
[4] Second-order necessary conditions of the Kuhn-Tucker type in multiobjective programming problems
Aghezzaf, B
[J]. CONTROL AND CYBERNETICS, 1999, 28 (02): : 213 - 224
[5] Second-Order Strong Karush/Kuhn–Tucker Conditions for Proper Efficiencies in Multiobjective Optimization
Min Feng
Shengjie Li
[J]. Journal of Optimization Theory and Applications, 2019, 181 : 766 - 786
[6] On Approximate Karush–Kuhn–Tucker Conditions for Multiobjective Optimization Problems
Mansoureh Alavi Hejazi
[J]. Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 873 - 879
[7] New Second-Order Karush–Kuhn–Tucker Optimality Conditions for Vector Optimization
Nguyen Quang Huy
Do Sang Kim
Nguyen Van Tuyen
[J]. Applied Mathematics & Optimization, 2019, 79 : 279 - 307
[8] KUHN-TUCKER NECESSARY CONDITIONS FOR (h, ψ)-MULTIOBJECTIVE OPTIMIZATION PROBLEMS
XU Yihong(Department of Mathematics
Department of Applied Mathematics
[J]. Journal of Systems Science & Complexity, 2004, (04) : 472 - 484
[9] On Approximate Karush-Kuhn-Tucker Conditions for Multiobjective Optimization Problems
Hejazi, Mansoureh Alavi
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A2): : 873 - 879
[10] Strong second-order Karush-Kuhn-Tucker optimality conditions for vector optimization
Tuyen, Nguyen Van
Huy, Nguyen Quang
Kim, Do Sang
[J]. APPLICABLE ANALYSIS, 2020, 99 (01) : 103 - 120

← 1 2 3 4 5 →