Sensitivity analysis in parametric vector optimization in Banach spaces viaτw-contingent derivatives
Lê Thanh Tùng, Thanh-Hung Pham · TURKISH JOURNAL OF MATHEMATICS · 2019
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.