The radius of metric regularity at infinity

2025/02/13 by Nguyen, Tung Minh, Tiến-Sơn Phạm, Pham, Tien-Son · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Fixed Point Theorems Analysis #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2502.09134

openalex publication_date 2025/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Directional Subdifferentials at Infinity and Its Applications

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