Sensitivity analysis in parametric vector optimization in Banach spaces via τ w -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 perturbationmap and the τw -contingent derivative of feasible map in objective space are considered. Then, the formulas for estimatingthe τw -contingent derivative of the Borwein proper perturbation map via the τw -contingent of the constraint map andthe Hadamard derivative of the objective map are obtained.