We show that in a quite general framework, the parameterized optimization problem can be so perturbed as to be generically well-posed. As an application, we provide a contribution to Stechkin theory.
@article{arxiv.2410.09526,
title = {Generic continuity of the perturbed minima of certain parametric optimization problems},
author = {Hristina Topalova and Nadia Zlateva},
journal= {arXiv preprint arXiv:2410.09526},
year = {2024}
}