On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application
In this article, we introduce the notions of extended b-rectangular and controlled rectangular fuzzy metric-like spaces that generalize many fuzzy metric spaces in the literature. We give examples to justify our newly defined fuzzy metric-like spaces and prove that these spaces are not Hausdorff. We...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5614158 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551222414934016 |
|---|---|
| author | Naeem Saleem Salman Furqan Fahd Jarad |
| author_facet | Naeem Saleem Salman Furqan Fahd Jarad |
| author_sort | Naeem Saleem |
| collection | DOAJ |
| description | In this article, we introduce the notions of extended b-rectangular and controlled rectangular fuzzy metric-like spaces that generalize many fuzzy metric spaces in the literature. We give examples to justify our newly defined fuzzy metric-like spaces and prove that these spaces are not Hausdorff. We use fuzzy contraction and prove Banach fixed point theorems in these spaces. As an application, we utilize our main results to solve the uniqueness of the solution of a differential equation occurring in the dynamic market equilibrium. |
| format | Article |
| id | doaj-art-e2e7fdbcb9004603abc00a33abccbfc1 |
| 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-e2e7fdbcb9004603abc00a33abccbfc12025-02-03T06:04:45ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5614158On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with ApplicationNaeem Saleem0Salman Furqan1Fahd Jarad2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, we introduce the notions of extended b-rectangular and controlled rectangular fuzzy metric-like spaces that generalize many fuzzy metric spaces in the literature. We give examples to justify our newly defined fuzzy metric-like spaces and prove that these spaces are not Hausdorff. We use fuzzy contraction and prove Banach fixed point theorems in these spaces. As an application, we utilize our main results to solve the uniqueness of the solution of a differential equation occurring in the dynamic market equilibrium.http://dx.doi.org/10.1155/2022/5614158 |
| spellingShingle | Naeem Saleem Salman Furqan Fahd Jarad On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application Journal of Function Spaces |
| title | On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application |
| title_full | On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application |
| title_fullStr | On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application |
| title_full_unstemmed | On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application |
| title_short | On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application |
| title_sort | on extended b rectangular and controlled rectangular fuzzy metric like spaces with application |
| url | http://dx.doi.org/10.1155/2022/5614158 |
| work_keys_str_mv | AT naeemsaleem onextendedbrectangularandcontrolledrectangularfuzzymetriclikespaceswithapplication AT salmanfurqan onextendedbrectangularandcontrolledrectangularfuzzymetriclikespaceswithapplication AT fahdjarad onextendedbrectangularandcontrolledrectangularfuzzymetriclikespaceswithapplication |