On generalized $\tau^w$-contingent epiderivatives in parametric vector optimization problems

Abstract

This paper is concerned with the sensitivity analysis in reflexive Banach spaces. We first establish the formulae for estimating the generalized τ w-contingent epiderivatives of the efficient solution maps and the perturbation maps in parametric vector optimization problems. Then, an application to the semi-infinite programming is provided. Some examples are also given for illustrating the obtained results.