Duality related to approximate proper solutions of vector optimization problems

被引：2
|
作者：
Gutierrez, C. [1 ]
Huerga, L. [2 ]
Novo, V. [2 ]
Tammer, C. [3 ]
机构：
[1] Univ Valladolid, ETS Ingn Telecomunicac, Dept Matemat Aplicada, E-47011 Valladolid, Spain
[2] UNED, ETSI Ind, Dept Matemat Aplicada, Madrid 28040, Spain
[3] Univ Halle Wittenberg, Fac Nat Sci 2, Inst Math, D-06099 Halle, Saale, Germany
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2016年 / 64卷 / 01期
关键词：
Vector optimization; Approximate duality; Proper epsilon-efficiency; Nearly cone-subconvexlikeness; Linear scalarization; SET-VALUED MAPS; SADDLE-POINT THEOREMS; EPSILON-SUBDIFFERENTIALS; EFFICIENCY; SCALARIZATION;
D O I：
10.1007/s10898-015-0366-4
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 work we introduce two approximate duality approaches for vector optimization problems. The first one by means of approximate solutions of a scalar Lagrangian, and the second one by considering -proper efficient solutions of a recently introduced set-valued vector Lagrangian. In both approaches we obtain weak and strong duality results for -proper efficient solutions of the primal problem, under generalized convexity assumptions. Due to the suitable limit behaviour of the -proper efficient solutions when the error tends to zero, the obtained duality results extend and improve several others in the literature.
引用
收藏
页码：117 / 139
页数：23
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