Sensitivity analysis in parametric vector optimization in Banach spaces via τw-contingent derivatives

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.