Comments on the cosmic convergence of nonexpansive maps

This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of [Formula: see text] . We also point out some inaccurate assertions appearing in the lite...

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Detalles Bibliográficos
Autores principales: Gutiérrez, Armando W., Karlsson, Anders
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591709/
https://www.ncbi.nlm.nih.gov/pubmed/34803575
http://dx.doi.org/10.1007/s11784-021-00896-8
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author Gutiérrez, Armando W.
Karlsson, Anders
author_facet Gutiérrez, Armando W.
Karlsson, Anders
author_sort Gutiérrez, Armando W.
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description This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of [Formula: see text] . We also point out some inaccurate assertions appearing in the literature on this topic.
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spelling pubmed-85917092021-11-19 Comments on the cosmic convergence of nonexpansive maps Gutiérrez, Armando W. Karlsson, Anders J Fixed Point Theory Appl Article This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of [Formula: see text] . We also point out some inaccurate assertions appearing in the literature on this topic. Springer International Publishing 2021-09-06 2021 /pmc/articles/PMC8591709/ /pubmed/34803575 http://dx.doi.org/10.1007/s11784-021-00896-8 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Gutiérrez, Armando W.
Karlsson, Anders
Comments on the cosmic convergence of nonexpansive maps
title Comments on the cosmic convergence of nonexpansive maps
title_full Comments on the cosmic convergence of nonexpansive maps
title_fullStr Comments on the cosmic convergence of nonexpansive maps
title_full_unstemmed Comments on the cosmic convergence of nonexpansive maps
title_short Comments on the cosmic convergence of nonexpansive maps
title_sort comments on the cosmic convergence of nonexpansive maps
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591709/
https://www.ncbi.nlm.nih.gov/pubmed/34803575
http://dx.doi.org/10.1007/s11784-021-00896-8
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