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Title: On higher-order adjacent derivative of perturbation map in parametric vector optimization
Authors: Lê, Thanh Tùng
Keywords: Higher-order adjacent derivative
Parameterized vector optimization problem
Perturbation map
Proper perturbation map
Weak perturbation map
Higher-order sen sitivity analysis
Issue Date: 2016
Series/Report no.: Journal of Inequalities and Applications;2016 .- p.2-18
Abstract: This paper deals with higher-order sensitivity analysis in terms of the higher-order adjacent derivative for nonsmooth vector optimization. The relations between the higher-order adjacent derivative of the minima/the proper minima/the weak minima of a multifunction and its profile map are given. Then the relationships between the higher-order adjacent derivative of the perturbation map/the proper perturbation map/the weak perturbation map, and the higher-order adjacent derivative of a feasible map in objective space are considered. Finally, the formulas for estimating the higher-order adjacent derivative of the perturbation map, the proper perturbation map, the weak perturbation map via the adjacent derivative of the constraint map, and the higher-order Fréchet derivative of the objective map are also obtained.
URI: http://localhost:8080//jspui/handle/123456789/5233
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