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AIMS Mathematics
Article . 2023 . Peer-reviewed
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AIMS Mathematics
Article . 2023
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On minimal asymptotically nonexpansive mappings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 8, pages 9,416-9,435 (issn: 2473-6988, Copyright policy )
Authors: Juan Rafael Acosta-Portilla; Lizbeth Yolanda Garrido-Ramírez;

doi: 10.3934/math.2023474

On minimal asymptotically nonexpansive mappings

Abstract

<abstract><p>In this paper we present the following two results: 1.- A characterization of the renorming invariant family of asymptotically nonexpansive mappings defined on a convex, closed and bounded set of a Banach space; 2.- A comparison of the renorming invariant family of asymptotically nonexpansive mappings with the renorming invariant family of nonexpansive mappings. Additionally, a series of examples are shown for general and particular cases.</p></abstract>

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Keywords

QA1-939, nonexpansive mapping, asymptotically nonexpansive mapping, renorming, Mathematics, lipschitzian mapping

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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