Lipschitz curve selection and its application to Thamrongthanyalak’s open problem
Volume 136 / 2026
Annales Polonici Mathematici 136 (2026), 1-9
MSC: Primary 03C64; Secondary 54H25
DOI: 10.4064/ap241202-25-6
Published online: 3 October 2025
Abstract
We solve an open problem posed by Thamrongthanyalak on the definable Banach fixed point property. Lipschitz curve selection is a key to our solution. In addition, we show a definable version of the Caristi fixed point theorem.
