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arXiv · 2502.09134

The radius of metric regularity at infinity

Tung Minh Nguyen·Tien-Son Pham
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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].

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Tung Minh Nguyen, Tien-Son Pham. 2025-02-13. The radius of metric regularity at infinity. https://arxiv.org/abs/2502.09134

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