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Mathematics
Volume 8
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10.3390/math8060905
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Article

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

by
Masoumeh Madadi
1,
Donal O’Regan
2,
Choonkil Park
3,
Manuel de la Sen
4,* and
Reza Saadati
5,*
1
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran
2
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, University Road, H91 CF50 Galway, Ireland
3
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
4
Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Spain
5
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(6), 905; https://doi.org/10.3390/math8060905
Submission received: 6 May 2020 / Revised: 25 May 2020 / Accepted: 27 May 2020 / Published: 3 June 2020
(This article belongs to the Special Issue Abstract Metric Spaces: Usefulness in Statistics and Fixed Point Theory)
Versions Notes

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 C*-algebra-valued; fuzzy metric; Cauchy sequences; completeness

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MDPI and ACS Style

Madadi, M.; O’Regan, D.; Park, C.; de la Sen, M.; Saadati, R. On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces. Mathematics 2020, 8, 905. https://doi.org/10.3390/math8060905

AMA Style

Madadi M, O’Regan D, Park C, de la Sen M, Saadati R. On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces. Mathematics. 2020; 8(6):905. https://doi.org/10.3390/math8060905

Chicago/Turabian Style

Madadi, Masoumeh, Donal O’Regan, Choonkil Park, Manuel de la Sen, and Reza Saadati. 2020. "On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces" Mathematics 8, no. 6: 905. https://doi.org/10.3390/math8060905

APA Style

Madadi, M., O’Regan, D., Park, C., de la Sen, M., & Saadati, R. (2020). On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces. Mathematics, 8(6), 905. https://doi.org/10.3390/math8060905

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