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

2024/11/22 by Fujita, Masato
#FOS: Mathematics #Logic (math.LO) #Primary 03C64 #Secondary 54H2

paper · doi:10.48550/arxiv.2411.14661

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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