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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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/2809657 |
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| _version_ | 1832560587669766144 |
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| author | Umar Ishtiaq Khalil Javed Fahim Uddin Manuel de la Sen Khalil Ahmed Muhammad Usman Ali |
| author_facet | Umar Ishtiaq Khalil Javed Fahim Uddin Manuel de la Sen Khalil Ahmed Muhammad Usman Ali |
| author_sort | Umar Ishtiaq |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2c2e4f1c83c3498e8fba8c0cbbecb606 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-2c2e4f1c83c3498e8fba8c0cbbecb6062025-02-03T01:27:07ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/28096572809657Fixed Point Results in Orthogonal Neutrosophic Metric SpacesUmar Ishtiaq0Khalil Javed1Fahim Uddin2Manuel de la Sen3Khalil Ahmed4Muhammad Usman Ali5Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad, PakistanDepartment of Mathematics & Statistics, International Islamic University Islamabad, Islamabad, PakistanDepartment of Mathematics & Statistics, International Islamic University Islamabad, Islamabad, PakistanInstitute of Research and Development of Processes, Faculty of Science and Technology, Univeraity of the Basque Country Campus of Leioa (Bizkaia), 644-Leioa, SpainDepartment of Mathematics & Statistics, International Islamic University Islamabad, Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanNeutrosophy 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 |
| 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 |
| title | 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_short | Fixed Point Results in Orthogonal Neutrosophic Metric Spaces |
| title_sort | fixed point results in orthogonal neutrosophic metric spaces |
| 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 |