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arXiv · 2411.14661

Lipchitz curve selection and its application to Thamrongthanyalak's open problem

Masato Fujita
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Abstract

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.

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Masato Fujita. 2024-11-22. Lipchitz curve selection and its application to Thamrongthanyalak's open problem. https://doi.org/10.4064/ap241202-25-6

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