The radius of metric regularity at infinity

Fuente: arXiv
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Autores principales: Nguyen, Tung Minh, Pham, Tien-Son
Formato: Preprint
Publicado: 2025
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author Nguyen, Tung Minh
Pham, Tien-Son
author_facet Nguyen, Tung Minh
Pham, Tien-Son
contents 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].
format Preprint
id arxiv_https___arxiv_org_abs_2502_09134
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The radius of metric regularity at infinity
Nguyen, Tung Minh
Pham, Tien-Son
Optimization and Control
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].
title The radius of metric regularity at infinity
topic Optimization and Control
url https://arxiv.org/abs/2502.09134