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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.20794 |
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| _version_ | 1866912977352916992 |
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| author | Zubelevich, Oleg |
| author_facet | Zubelevich, Oleg |
| contents | This article examines a family of smooth mappings between Banach spaces and establishes conditions for the existence of their zeros. Applications to fixed-point problems and the Implicit Function Theorem are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20794 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Zeros of Homotopic Mappings, Fixed Point Problems, and Inverse Functions Zubelevich, Oleg Functional Analysis 34G20, 47H10, 58C15, 58C30 This article examines a family of smooth mappings between Banach spaces and establishes conditions for the existence of their zeros. Applications to fixed-point problems and the Implicit Function Theorem are also discussed. |
| title | On Zeros of Homotopic Mappings, Fixed Point Problems, and Inverse Functions |
| topic | Functional Analysis 34G20, 47H10, 58C15, 58C30 |
| url | https://arxiv.org/abs/2603.20794 |