An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces

We construct a $b$-metric from a given $C^*$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^*$-algebra-valued $b$-metric spaces may be deduced from certain results in $b$-metric spaces. In parti...

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Bibliographic Details
Main Authors:	Nguyen Van Dung, Vo Thi Le Hang, Diana Dolicanin-Djekic
Format:	Article
Language:	English
Published:	Universitat Politècnica de València 2017-10-01
Series:	Applied General Topology
Subjects:	metric b-metric $C^$-algebra-valued metric $C^$-algebra-valued b-metric fixed point.
Online Access:	https://polipapers.upv.es/index.php/AGT/article/view/5185

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spelling	doaj-776b75d1602940339968c222f8b9c9662020-11-24T22:24:28ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472017-10-0118224125310.4995/agt.2017.51856088An equivalence of results in $C^$-algebra valued b-metric and b-metric spacesNguyen Van Dung0Vo Thi Le Hang1Diana Dolicanin-Djekic2Ton Duc Thang UniversityDong Thap UniversityUniversity of Pristina-Kosovska MitrovicaWe construct a $b$-metric from a given $C^$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^$-algebra-valued $b$-metric spaces may be deduced from certain results in $b$-metric spaces. In particular, every $C^$-algebra-valued $b$-metric space is metrizable.https://polipapers.upv.es/index.php/AGT/article/view/5185metricb-metric$C^$-algebra-valued metric$C^$-algebra-valued b-metricfixed point.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nguyen Van Dung Vo Thi Le Hang Diana Dolicanin-Djekic
spellingShingle	Nguyen Van Dung Vo Thi Le Hang Diana Dolicanin-Djekic An equivalence of results in $C^$-algebra valued b-metric and b-metric spaces Applied General Topology metric b-metric $C^$-algebra-valued metric $C^*$-algebra-valued b-metric fixed point.
author_facet	Nguyen Van Dung Vo Thi Le Hang Diana Dolicanin-Djekic
author_sort	Nguyen Van Dung
title	An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
title_short	An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
title_full	An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
title_fullStr	An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
title_full_unstemmed	An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
title_sort	equivalence of results in $c^*$-algebra valued b-metric and b-metric spaces
publisher	Universitat Politècnica de València
series	Applied General Topology
issn	1576-9402 1989-4147
publishDate	2017-10-01
description	We construct a $b$-metric from a given $C^$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^$-algebra-valued $b$-metric spaces may be deduced from certain results in $b$-metric spaces. In particular, every $C^*$-algebra-valued $b$-metric space is metrizable.
topic	metric b-metric $C^$-algebra-valued metric $C^$-algebra-valued b-metric fixed point.
url	https://polipapers.upv.es/index.php/AGT/article/view/5185
work_keys_str_mv	AT nguyenvandung anequivalenceofresultsincalgebravaluedbmetricandbmetricspaces AT vothilehang anequivalenceofresultsincalgebravaluedbmetricandbmetricspaces AT dianadolicanindjekic anequivalenceofresultsincalgebravaluedbmetricandbmetricspaces AT nguyenvandung equivalenceofresultsincalgebravaluedbmetricandbmetricspaces AT vothilehang equivalenceofresultsincalgebravaluedbmetricandbmetricspaces AT dianadolicanindjekic equivalenceofresultsincalgebravaluedbmetricandbmetricspaces
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An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces

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