Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space
In this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point 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: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/1373945 |
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| _version_ | 1832557127603847168 |
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| author | Misbah Farheen Tayyab Kamran Azhar Hussain |
| author_facet | Misbah Farheen Tayyab Kamran Azhar Hussain |
| author_sort | Misbah Farheen |
| collection | DOAJ |
| description | In this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. Moreover, we illustrate our results with some interesting examples. |
| format | Article |
| id | doaj-art-c68781b7556c42a49c32f6e736ad72f7 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c68781b7556c42a49c32f6e736ad72f72025-02-03T05:43:39ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/1373945Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric SpaceMisbah Farheen0Tayyab Kamran1Azhar Hussain2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. Moreover, we illustrate our results with some interesting examples.http://dx.doi.org/10.1155/2021/1373945 |
| spellingShingle | Misbah Farheen Tayyab Kamran Azhar Hussain Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space Journal of Function Spaces |
| title | Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space |
| title_full | Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space |
| title_fullStr | Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space |
| title_full_unstemmed | Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space |
| title_short | Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space |
| title_sort | best proximity point theorems for single and multivalued mappings in fuzzy multiplicative metric space |
| url | http://dx.doi.org/10.1155/2021/1373945 |
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