On higher-order adjacent derivative of perturbation map in parametric vector optimization

被引：0
作者：
Le Thanh Tung
机构：
[1] Can Tho University,Department of Mathematics, College of Natural Sciences
来源：
Journal of Inequalities and Applications | / 2016卷
关键词：
higher-order adjacent derivative; parameterized vector optimization problem; perturbation map; proper perturbation map; weak perturbation map; higher-order sensitivity analysis; 90C46; 49J52; 46G05; 90C26; 90C29;
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摘要：
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.
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