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Research Article | Open Access

Locally quasihyperbolic mappings in real Banach spaces

MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, People's Republic of China
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Abstract

In this paper, we use locally quasihyperbolic mappings to establish a characterization for quasihyperbolic mappings in Banach spaces. More generally, we prove that locally coarsely quasihyperbolic mappings are coarsely quasihyperbolic mappings, while the converse is invalid.

Keywords

quasihyperbolic metric(locally) quasihyperbolic mapping(locally) coarsely quasihyperbolic mappingquasisymmetric mapping
CLC number: 30C65, 30F45, 30L10

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 28295-28305
DOI: 10.3934/math.20241372

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Hu C. Locally quasihyperbolic mappings in real Banach spaces. AIMS Mathematics, 2024, 9(10): 28295-28305. https://doi.org/10.3934/math.20241372

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Received: 17 June 2024
Revised: 20 September 2024
Accepted: 23 September 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)