Lipschitz curve selection and its application to Thamrongthanyalak’s open problem

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.

Authors

Institutions

Publication Details

Journal
Annales Polonici Mathematici
Published
2025-10-03
DOI
https://doi.org/10.4064/ap241202-25-6
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Lipschitz curve selection and its application to Thamrongthanyalak’s open problem

Masato Fujita
Annales Polonici Mathematici
Advanced Mathematical Identities
article

Lipschitz curve selection and its application to Thamrongthanyalak’s open problem

Masato Fujita
article en

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.

Annales Polonici Mathematici
Japan Coast Guard Academy (JP)
Openalex Percentile: Top 65%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Lipschitz curve selection and its application to Thamrongthanyalak’s open problem — Masato Fujita · Annales Polonici Mathematici (2025) | TGRS Research Map | TGRS