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

被引：1
|
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
收藏
页数：23
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