Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results
The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/8/1902 |
| _version_ | 1797604461741342720 |
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| author | Şuara Onbaşıoğlu Banu Pazar Varol |
| author_facet | Şuara Onbaşıoğlu Banu Pazar Varol |
| author_sort | Şuara Onbaşıoğlu |
| collection | DOAJ |
| description | The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces. |
| first_indexed | 2024-03-11T04:46:50Z |
| format | Article |
| id | doaj.art-7ec77131c7934d198fab8a6eb14fe84c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T04:46:50Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7ec77131c7934d198fab8a6eb14fe84c2023-11-17T20:18:13ZengMDPI AGMathematics2227-73902023-04-01118190210.3390/math11081902Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point ResultsŞuara Onbaşıoğlu0Banu Pazar Varol1Department of Mathematics, Kocaeli University, 41001 Kocaeli, TurkeyDepartment of Mathematics, Kocaeli University, 41001 Kocaeli, TurkeyThe objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces.https://www.mdpi.com/2227-7390/11/8/1902intuitionistic fuzzy setmetric-like spacesintuitionistic fuzzy metric-like spacesfixed-point theory |
| spellingShingle | Şuara Onbaşıoğlu Banu Pazar Varol Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results Mathematics intuitionistic fuzzy set metric-like spaces intuitionistic fuzzy metric-like spaces fixed-point theory |
| title | Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results |
| title_full | Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results |
| title_fullStr | Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results |
| title_full_unstemmed | Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results |
| title_short | Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results |
| title_sort | intuitionistic fuzzy metric like spaces and fixed point results |
| topic | intuitionistic fuzzy set metric-like spaces intuitionistic fuzzy metric-like spaces fixed-point theory |
| url | https://www.mdpi.com/2227-7390/11/8/1902 |
| work_keys_str_mv | AT suaraonbasıoglu intuitionisticfuzzymetriclikespacesandfixedpointresults AT banupazarvarol intuitionisticfuzzymetriclikespacesandfixedpointresults |