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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.09134 |
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| _version_ | 1866915149650067456 |
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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 |