Lipchitz curve selection and its application to Thamrongthanyalak's open problem
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916987514388480 |
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| author | Fujita, Masato |
| author_facet | Fujita, Masato |
| contents | We solve an open problem posed in Thamrongthanyalak's paper on the definable Banach fixed point property. A Lipschitz curve selection is a key of our solution. In addition, we show a definable version of Caristi fixed point theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14661 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lipchitz curve selection and its application to Thamrongthanyalak's open problem Fujita, Masato Logic Primary 03C64, Secondary 54H2 We solve an open problem posed in Thamrongthanyalak's paper on the definable Banach fixed point property. A Lipschitz curve selection is a key of our solution. In addition, we show a definable version of Caristi fixed point theorem. |
| title | Lipchitz curve selection and its application to Thamrongthanyalak's open problem |
| topic | Logic Primary 03C64, Secondary 54H2 |
| url | https://arxiv.org/abs/2411.14661 |