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Journal Articles Journal of Fixed Point Theory and Applications Year : 2021

Comments on the cosmic convergence of nonexpansive maps

Abstract

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

hal-03426011 , version 1 (11-11-2021)

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Armando W. Gutiérrez, Anders Karlsson. Comments on the cosmic convergence of nonexpansive maps. Journal of Fixed Point Theory and Applications, 2021, 23 (4), ⟨10.1007/s11784-021-00896-8⟩. ⟨hal-03426011⟩
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