- Turkish Journal of Mathematics
- Vol: 44 Issue: 1
- Sensitivity analysis in parametric vector optimization in Banach spaces via τw-contingent derivative...
Sensitivity analysis in parametric vector optimization in Banach spaces via τw-contingent derivatives
Authors : Thanh Tung Le, Thanh Hung Pham
Pages : 142-151
View : 10 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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