Sensitivity analysis in parametric vector optimization in Banach spaces via τw-contingent derivatives

This paper is concerned with sensitivity analysis in parametric vector optimization problems via τw-contingent derivatives. Firstly, relationships between the τw-contingent derivative of the Borwein proper perturbation map and the τw-contingent derivative of feasible map in objective space are considered. Then, the formulas for estimating the τw-contingent derivative of the Borwein proper perturbation map via the τw-contingent of the constraint map and the Hadamard derivative of the objective map are obtained.

Keywords:

Parametric vector optimization problem, τw−contingent derivative, Borwein perturbation map Borwein efficient solution map, sensitivity analysis,

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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