Lipchitz curve selection and its application to Thamrongthanyalak's open problem
arXiv:2411.14661 · doi:10.4064/ap241202-25-6
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.