A New Fenchel Dual Problem in Vector Optimization

Proceedings Mathematical Sciences

Gert Wanka¹  Radu Ioan BoÅ£³  Anca Dumitru² 

[1] $$;Faculty of Mathematics and Computer Science, Babes¸-Bolyai University, Str. KogËœalniceanu nr. , 000 Cluj-Napoca, Romania$$;Faculty of Mathematics, Chemnitz University of Technology, D-00 Chemnitz, Germany$$

关键词: Conjugate functions;    Fenchel duality;    vector optimization;    weak and strong duality.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We introduce a new Fenchel dual for vector optimization problems inspired by the form of the Fenchel dual attached to the scalarized primal multiobjective problem. For the vector primal-dual pair we prove weak and strong duality. Furthermore, we recall two other Fenchel-type dual problems introduced in the past in the literature, in the vector case, and make a comparison among all three duals. Moreover, we show that their sets of maximal elements are equal.

【 授权许可】

Unknown