Weak sharp minima at infinity and solution stability in mathematical programming via asymptotic analysis
Optimization and Control
2024-10-08 v1
Abstract
We develop sufficient conditions for the existence of the weak sharp minima at infinity property for nonsmooth optimization problems via asymptotic cones and generalized asymptotic functions. Next, we show that these conditions are also useful for studying the solution stability of nonconvex optimization problems under linear perturbations. Finally, we provide applications for a subclass of quasiconvex functions which is stable under linear additivity and includes the convex ones.
Cite
@article{arxiv.2410.04695,
title = {Weak sharp minima at infinity and solution stability in mathematical programming via asymptotic analysis},
author = {Felipe Lara and Nguyen Van Tuyen and Tran Van Nghi},
journal= {arXiv preprint arXiv:2410.04695},
year = {2024}
}
Comments
20 pages