descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 06 Sep 2021Embargo end date: 01 Jan 2021 Switzerland English Publisher:Springer Science and Business Media LLCJournal:Journal of Fixed Point Theory and Applications, volume 23 (issn: 1661-7738, eissn: 1661-7746,

Authors: Anders Karlsson; Anders Karlsson; Armando W. Gutiérrez;

doi: 10.1007/s11784-021-00896-8 , 10.48550/arxiv.2103.14499

pmid: 34803575

pmc: PMC8591709

arXiv: http://arxiv.org/abs/2103.14499

Comments on the cosmic convergence of nonexpansive maps

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Abstract

AbstractThis 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 $$\ell ^{1}$$ ℓ 1 . We also point out some inaccurate assertions appearing in the literature on this topic.

Country

Switzerland

Related Organizations

École Polytechnique
France
University of Geneva
Switzerland
INSTITUT POLYTECHNIQUE DE PARIS
France
Centre Inria de l'Institut Polytechnique de Paris
France
Uppsala University Hospital
Sweden

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Keywords

Beräkningsmatematik, [MATH] Mathematics [math], Dynamical Systems (math.DS), [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], Article, 510, Mathematics - Metric Geometry, metric functionals, Nonexpansive maps, FOS: Mathematics, [MATH.MATH-MG] Mathematics [math]/Metric Geometry [math.MG], MSC 47H09;47A15, [MATH]Mathematics [math], Mathematics - Dynamical Systems, [MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG], [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], 47H09, 47A15, Metric fixed point theory, Metric Geometry (math.MG), Mathematics Subject Classification. Primary 47H09, Functional Analysis (math.FA), Mathematics - Functional Analysis, Computational Mathematics, Secondary 47A15 Metric fixed point theory, invariant subspace problem, nonexpansive maps

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