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

被引：3

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

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