Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings
In this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b-metric spaces as a generalization of the notion of b-metric spaces and fuzzy metric spaces. In such spaces, we establish Banach type, Reich type, and Chatterjea type fixed-point theorems, which improve the relevant results in...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2714912 |
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| _version_ | 1849414635813339136 |
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| author | Shu-Fang Li Fei He Shu-Min Lu |
| author_facet | Shu-Fang Li Fei He Shu-Min Lu |
| author_sort | Shu-Fang Li |
| collection | DOAJ |
| description | In this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b-metric spaces as a generalization of the notion of b-metric spaces and fuzzy metric spaces. In such spaces, we establish Banach type, Reich type, and Chatterjea type fixed-point theorems, which improve the relevant results in fuzzy metric spaces. Two technical lemmas are employed to ensure that a Picard sequence is a Cauchy sequence. Finally, various applications are given to testify the fact that our main theorems extend the cases of b-metric spaces. |
| format | Article |
| id | doaj-art-6bf145a2ef44405fa885fe41b1c55749 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6bf145a2ef44405fa885fe41b1c557492025-08-20T03:33:46ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2714912Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction MappingsShu-Fang Li0Fei He1Shu-Min Lu2School of Mathematical SciencesSchool of Mathematical SciencesSchool of Mathematical SciencesIn this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b-metric spaces as a generalization of the notion of b-metric spaces and fuzzy metric spaces. In such spaces, we establish Banach type, Reich type, and Chatterjea type fixed-point theorems, which improve the relevant results in fuzzy metric spaces. Two technical lemmas are employed to ensure that a Picard sequence is a Cauchy sequence. Finally, various applications are given to testify the fact that our main theorems extend the cases of b-metric spaces.http://dx.doi.org/10.1155/2022/2714912 |
| spellingShingle | Shu-Fang Li Fei He Shu-Min Lu Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings Journal of Function Spaces |
| title | Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings |
| title_full | Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings |
| title_fullStr | Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings |
| title_full_unstemmed | Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings |
| title_short | Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings |
| title_sort | kaleva seikkala s type fuzzy b metric spaces and several contraction mappings |
| url | http://dx.doi.org/10.1155/2022/2714912 |
| work_keys_str_mv | AT shufangli kalevaseikkalastypefuzzybmetricspacesandseveralcontractionmappings AT feihe kalevaseikkalastypefuzzybmetricspacesandseveralcontractionmappings AT shuminlu kalevaseikkalastypefuzzybmetricspacesandseveralcontractionmappings |