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Recolector de Ciencia Abierta, RECOLECTA
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Recolector de Ciencia Abierta, RECOLECTA
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Proximally Compatible Mappings and Common Best Proximity Points

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 2020 Spain English Publisher:MDPI AGJournal:Symmetry, volume 12, page 353 (eissn: 2073-8994, Copyright policy )
Authors: V. Pragadeeswarar; R. Gopi; Manuel de la Sen; Stojan Radenovic;

doi: 10.3390/sym12030353

handle: 10810/42852

Proximally Compatible Mappings and Common Best Proximity Points

Abstract

The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences. In addition, we provide an example to support our main result.

Country
Spain
Related Organizations
Keywords

common best proximity point, commuting mappings, (ϵ,δ)-contractions, common fixed point, compatible mappings, (<i>ϵ</i>,<i>δ</i>)-contractions

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    popularity
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    		 Top 10%
    influence
    This indicator 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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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
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).
BIP!Citations provided by BIP!
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.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Average
Green
gold