Some New Structures in Neutrosophic Metric Spaces

Neutrosophic sets deals with inconsistent, indeterminate and imprecise datas. The concept of Neutrosophic Metric Space (NMS) uses the idea of continuous t- norm and continuous t - conorm in intuitionistic fuzzy metric spaces. In this paper, we introduce the definition of subcompatible maps of typ...

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Main Authors: M. Jeyaraman, V. Jeyanthi, A.N. Mangayarkkarasi, Florentin Smarandache
Format: Article
Language:English
Published: University of New Mexico 2021-05-01
Series:Neutrosophic Sets and Systems
Subjects:
nms
Online Access:http://fs.unm.edu/NSS/StructuresNeutrosophicMetric4.pdf
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spelling doaj-5fb83396b0d449369c7c518b74bd90d52021-05-08T02:02:01ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-05-0142496410.5281/zenodo.4711499Some New Structures in Neutrosophic Metric SpacesM. Jeyaraman0V. Jeyanthi1A.N. Mangayarkkarasi2Florentin Smarandache3P.G. and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai. Affiliated to Alagappa University, Karaikudi, Tamilnadu, IndiaGovernment Arts College for Women, Sivagangai. Affiliated to Alagappa University, Karaikudi, Tamilnadu, IndiaDepartment of Mathematics, Nachiappa Swamigal Arts & Science College, Karaikudi. Affiliated to Alagappa University, Karaikudi, Tamilnadu, IndiaDepartment of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USANeutrosophic sets deals with inconsistent, indeterminate and imprecise datas. The concept of Neutrosophic Metric Space (NMS) uses the idea of continuous t- norm and continuous t - conorm in intuitionistic fuzzy metric spaces. In this paper, we introduce the definition of subcompatible maps of types (J-1 and J-2). We extend the structure of weak non-Archimedian with the help of subcompatible maps of types (J-1 and J-2) in NMS. Finally, we obtain common fixed point theorems for four subcompatible maps of type (J-1) in weak non-Archimedean NMS. http://fs.unm.edu/NSS/StructuresNeutrosophicMetric4.pdfweak non-archimedeannmscompatible mapsub compatiblesubcompatible maps of types (j-1) and (j-2).
collection DOAJ
language English
format Article
sources DOAJ
author M. Jeyaraman
V. Jeyanthi
A.N. Mangayarkkarasi
Florentin Smarandache
spellingShingle M. Jeyaraman
V. Jeyanthi
A.N. Mangayarkkarasi
Florentin Smarandache
Some New Structures in Neutrosophic Metric Spaces
Neutrosophic Sets and Systems
weak non-archimedean
nms
compatible map
sub compatible
subcompatible maps of types (j-1) and (j-2).
author_facet M. Jeyaraman
V. Jeyanthi
A.N. Mangayarkkarasi
Florentin Smarandache
author_sort M. Jeyaraman
title Some New Structures in Neutrosophic Metric Spaces
title_short Some New Structures in Neutrosophic Metric Spaces
title_full Some New Structures in Neutrosophic Metric Spaces
title_fullStr Some New Structures in Neutrosophic Metric Spaces
title_full_unstemmed Some New Structures in Neutrosophic Metric Spaces
title_sort some new structures in neutrosophic metric spaces
publisher University of New Mexico
series Neutrosophic Sets and Systems
issn 2331-6055
2331-608X
publishDate 2021-05-01
description Neutrosophic sets deals with inconsistent, indeterminate and imprecise datas. The concept of Neutrosophic Metric Space (NMS) uses the idea of continuous t- norm and continuous t - conorm in intuitionistic fuzzy metric spaces. In this paper, we introduce the definition of subcompatible maps of types (J-1 and J-2). We extend the structure of weak non-Archimedian with the help of subcompatible maps of types (J-1 and J-2) in NMS. Finally, we obtain common fixed point theorems for four subcompatible maps of type (J-1) in weak non-Archimedean NMS.
topic weak non-archimedean
nms
compatible map
sub compatible
subcompatible maps of types (j-1) and (j-2).
url http://fs.unm.edu/NSS/StructuresNeutrosophicMetric4.pdf
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AT vjeyanthi somenewstructuresinneutrosophicmetricspaces
AT anmangayarkkarasi somenewstructuresinneutrosophicmetricspaces
AT florentinsmarandache somenewstructuresinneutrosophicmetricspaces
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