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

Masato Fujita

公開日: 2024/11/22

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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