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, T. T, & PHAM, T. H (2020). Sensitivity analysis in parametric vector optimization in Banach spaces via ${\tau}^w$-contingent derivatives. Turkish Journal of Mathematics 44 (1): 152-168. https://doi.org/10.3906/mat-1902-57
