On the Topology Induced by C *-Algebra-Valued Fuzzy Metric Spaces

Masoumeh Madadi, Donal O’Regan, Choonkil Park, Manuel de la Sen and Reza Saadati
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Masoumeh Madadi: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran
Donal O’Regan: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, University Road, H91 CF50 Galway, Ireland
Choonkil Park: Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
Manuel de la Sen: Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Spain
Reza Saadati: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran

Mathematics, 2020, vol. 8, issue 6, 1-10

Abstract: We define the notion of C * -algebra-valued fuzzy metric spaces and we study the topology induced by these spaces.

Keywords: C*-algebra-valued; fuzzy metric; Cauchy sequences; completeness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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