Turkish Journal of Mathematics
Abstract
This paper is concerned with sensitivity analysis in parametric vector optimization problems via ${\tau}^w$-contingent derivatives. Firstly, relationships between the ${\tau}^w$-contingent derivative of the Borwein proper perturbation map and the ${\tau}^w$-contingent derivative of feasible map in objective space are considered. Then, the formulas for estimating the ${\tau}^w$-contingent derivative of the Borwein proper perturbation map via the ${\tau}^w$-contingent of the constraint map and the Hadamard derivative of the objective map are obtained.
DOI
10.3906/mat-1902-57
Keywords
Parametric vector optimization problem, ${\tau}^w-$contingent derivative, Borwein perturbation map, Borwein efficient solution map, sensitivity analysis
First Page
152
Last Page
168
Recommended Citation
LE, THANH TUNG and PHAM, THANH HUNG
(2020)
"Sensitivity analysis in parametric vector optimization in Banach spaces via ${\tau}^w$-contingent derivatives,"
Turkish Journal of Mathematics: Vol. 44:
No.
1, Article 11.
https://doi.org/10.3906/mat-1902-57
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss1/11
