Lipchitz curve selection and its application to Thamrongthanyalak's open problem
Logic
2025-10-07 v1
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.
Keywords
Cite
@article{arxiv.2411.14661,
title = {Lipchitz curve selection and its application to Thamrongthanyalak's open problem},
author = {Masato Fujita},
journal= {arXiv preprint arXiv:2411.14661},
year = {2025}
}