About Some Families of Nonexpansive Mappings with respect to Renorming

We characterize the family of nonexpansive mappings which are invariant under renormings and we also compare the families of nonexpansive mappings under two equivalent norms.

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Published inJournal of function spaces Vol. 2016; no. 2016; pp. 1 - 9
Main Authors Acosta-Portilla, Juan Rafael, Pérez-García, Víctor, Hernández-Linares, Carlos Alberto
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2016
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Banach spaces
Equivalence
Function space
Invariants
Mapping
Norms
Reflexivity
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Abstract We characterize the family of nonexpansive mappings which are invariant under renormings and we also compare the families of nonexpansive mappings under two equivalent norms.
AbstractList We characterize the family of nonexpansive mappings which are invariant under renormings and we also compare the families of nonexpansive mappings under two equivalent norms.
Audience Academic
Author Hernández-Linares, Carlos Alberto
Acosta-Portilla, Juan Rafael
Pérez-García, Víctor
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Cites_doi 10.1016/j.jmaa.2013.03.062
10.1016/j.jfa.2009.10.025
10.1016/j.na.2009.03.024
10.1007/s40065-012-0054-x
10.1016/j.jmaa.2008.02.049
10.1016/j.jmaa.2014.12.036
10.1016/j.jmaa.2015.04.043
10.1016/j.jmaa.2011.09.029
10.2307/2371917
10.1016/j.na.2007.01.050
10.1006/jmaa.1996.0229
ContentType Journal Article
Copyright Copyright © 2016 Juan Rafael Acosta-Portilla et al.
COPYRIGHT 2016 John Wiley & Sons, Inc.
Copyright © 2016 Juan Rafael Acosta-Portilla et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright_xml – notice: Copyright © 2016 Juan Rafael Acosta-Portilla et al.
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SubjectTerms Banach spaces
Equivalence
Function space
Invariants
Mapping
Norms
Reflexivity
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Title About Some Families of Nonexpansive Mappings with respect to Renorming
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