The radius of metric regularity at infinity
Optimization and Control
2025-02-14 v1
Abstract
This paper, in the setting at infinity, presents some relationships between the modulus of metric regularity and the radius of (strong) metric regularity that gives a measure of the extent to which a set-valued mapping can be perturbed before (strong) metric regularity is lost. The results given here can be viewed as versions at infinity of [2, Theorem 1.5] and [3, Theorem 4.6].
Keywords
Cite
@article{arxiv.2502.09134,
title = {The radius of metric regularity at infinity},
author = {Tung Minh Nguyen and Tien-Son Pham},
journal= {arXiv preprint arXiv:2502.09134},
year = {2025}
}