Firm non-expansive mappings in weak metric spaces

Armando W. Gutiérrez; Cormac Walsh

doi:10.1007/s00013-022-01759-5

Firm non-expansive mappings in weak metric spaces

Armando W. Gutiérrez
, Cormac Walsh

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We introduce the notion of a firm non-expansive mapping in weak metric spaces, extending previous work for Banach spaces and certain geodesic spaces. We prove that, for firm non-expansive mappings, the minimal displacement, the linear rate of escape, and the asymptotic step size are all equal. This generalises a theorem by Reich and Shafrir.

langue originale	Anglais
Pages (de - à)	389-400
Nombre de pages	12
journal	Archiv der Mathematik
Volume	119
Numéro de publication	4
Les DOIs	https://doi.org/10.1007/s00013-022-01759-5
état	Publié - 1 oct. 2022

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10.1007/s00013-022-01759-5

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abstract = "We introduce the notion of a firm non-expansive mapping in weak metric spaces, extending previous work for Banach spaces and certain geodesic spaces. We prove that, for firm non-expansive mappings, the minimal displacement, the linear rate of escape, and the asymptotic step size are all equal. This generalises a theorem by Reich and Shafrir.",

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Firm non-expansive mappings in weak metric spaces

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