On second-order radial-asymptotic proto-differentiability of the borwein perturbation maps
Thanh-Hung Pham, Thanh-Sang Nguyen · RAIRO - Operations Research · 2022
This paper deals with second-order sensitivity analysis of parameterized vector optimization problems. We prove that the Borwein efficient solution map and the Borwein efficient perturbation map of a parametric vector optimization problem are second-order radial-asymptotic proto-differentiable under some suitable qualification conditions. Some examples are also given for illustrating the obtained results.