Fixed Point Results in Orthogonal Neutrosophic Metric Spaces
Neutrosophy deals with neutrosophic logic, probability, and sets. Actually, the neutrosophic set is a generalization of the classical set, fuzzy set, and intuitionistic fuzzy set. A neutrosophic set is a mathematical notion serving issues containing inconsistent, indeterminate, and imprecise data. T...
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2021-01-01
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2021/2809657 |
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doaj-2c2e4f1c83c3498e8fba8c0cbbecb6062021-08-23T01:31:52ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/2809657Fixed Point Results in Orthogonal Neutrosophic Metric SpacesUmar Ishtiaq0Khalil Javed1Fahim Uddin2Manuel de la Sen3Khalil Ahmed4Muhammad Usman Ali5Department of Mathematics & StatisticsDepartment of Mathematics & StatisticsDepartment of Mathematics & StatisticsInstitute of Research and Development of ProcessesDepartment of Mathematics & StatisticsDepartment of MathematicsNeutrosophy deals with neutrosophic logic, probability, and sets. Actually, the neutrosophic set is a generalization of the classical set, fuzzy set, and intuitionistic fuzzy set. A neutrosophic set is a mathematical notion serving issues containing inconsistent, indeterminate, and imprecise data. The notion of intuitionistic fuzzy metric space is useful in modelling some phenomena, where it is necessary to study the relationship between two probability functions. In this study, the concept of an orthogonal neutrosophic metric space is initiated. It is a generalization of the neutrosophic metric space. Some fixed point results are investigated in this setting. For the validity of the obtained results, some nontrivial examples are given.http://dx.doi.org/10.1155/2021/2809657 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Umar Ishtiaq Khalil Javed Fahim Uddin Manuel de la Sen Khalil Ahmed Muhammad Usman Ali |
spellingShingle |
Umar Ishtiaq Khalil Javed Fahim Uddin Manuel de la Sen Khalil Ahmed Muhammad Usman Ali Fixed Point Results in Orthogonal Neutrosophic Metric Spaces Complexity |
author_facet |
Umar Ishtiaq Khalil Javed Fahim Uddin Manuel de la Sen Khalil Ahmed Muhammad Usman Ali |
author_sort |
Umar Ishtiaq |
title |
Fixed Point Results in Orthogonal Neutrosophic Metric Spaces |
title_short |
Fixed Point Results in Orthogonal Neutrosophic Metric Spaces |
title_full |
Fixed Point Results in Orthogonal Neutrosophic Metric Spaces |
title_fullStr |
Fixed Point Results in Orthogonal Neutrosophic Metric Spaces |
title_full_unstemmed |
Fixed Point Results in Orthogonal Neutrosophic Metric Spaces |
title_sort |
fixed point results in orthogonal neutrosophic metric spaces |
publisher |
Hindawi-Wiley |
series |
Complexity |
issn |
1099-0526 |
publishDate |
2021-01-01 |
description |
Neutrosophy deals with neutrosophic logic, probability, and sets. Actually, the neutrosophic set is a generalization of the classical set, fuzzy set, and intuitionistic fuzzy set. A neutrosophic set is a mathematical notion serving issues containing inconsistent, indeterminate, and imprecise data. The notion of intuitionistic fuzzy metric space is useful in modelling some phenomena, where it is necessary to study the relationship between two probability functions. In this study, the concept of an orthogonal neutrosophic metric space is initiated. It is a generalization of the neutrosophic metric space. Some fixed point results are investigated in this setting. For the validity of the obtained results, some nontrivial examples are given. |
url |
http://dx.doi.org/10.1155/2021/2809657 |
work_keys_str_mv |
AT umarishtiaq fixedpointresultsinorthogonalneutrosophicmetricspaces AT khaliljaved fixedpointresultsinorthogonalneutrosophicmetricspaces AT fahimuddin fixedpointresultsinorthogonalneutrosophicmetricspaces AT manueldelasen fixedpointresultsinorthogonalneutrosophicmetricspaces AT khalilahmed fixedpointresultsinorthogonalneutrosophicmetricspaces AT muhammadusmanali fixedpointresultsinorthogonalneutrosophicmetricspaces |
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1721199077095374848 |