On Controlled Rectangular Metric Spaces and an Application
In this paper, we introduce the notion of controlled rectangular metric spaces as a generalization of rectangular metric spaces and rectangular b-metric spaces. Further, we establish some related fixed point results. Our main results extend many existing ones in the literature. The obtained results...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5564324 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551306723590144 |
|---|---|
| author | Nayab Alamgir Quanita Kiran Hassen Aydi Yaé Ulrich Gaba |
| author_facet | Nayab Alamgir Quanita Kiran Hassen Aydi Yaé Ulrich Gaba |
| author_sort | Nayab Alamgir |
| collection | DOAJ |
| description | In this paper, we introduce the notion of controlled rectangular metric spaces as a generalization of rectangular metric spaces and rectangular b-metric spaces. Further, we establish some related fixed point results. Our main results extend many existing ones in the literature. The obtained results are also illustrated with the help of an example. In the last section, we apply our results to a common real-life problem in a general form by getting a solution for the Fredholm integral equation in the setting of controlled rectangular metric spaces. |
| format | Article |
| id | doaj-art-1f8019362dc6438fa289e4bbac9ead2b |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1f8019362dc6438fa289e4bbac9ead2b2025-02-03T06:01:48ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55643245564324On Controlled Rectangular Metric Spaces and an ApplicationNayab Alamgir0Quanita Kiran1Hassen Aydi2Yaé Ulrich Gaba3School of Natural Sciences, National University of Sciences and Technology (NUST), Sector H-12, Islamabad, PakistanSchool of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad, PakistanInstitut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, TunisiaQuantum Leap Africa (QLA), AIMS Rwanda Centre, Remera Sector KN 3, Kigali, RwandaIn this paper, we introduce the notion of controlled rectangular metric spaces as a generalization of rectangular metric spaces and rectangular b-metric spaces. Further, we establish some related fixed point results. Our main results extend many existing ones in the literature. The obtained results are also illustrated with the help of an example. In the last section, we apply our results to a common real-life problem in a general form by getting a solution for the Fredholm integral equation in the setting of controlled rectangular metric spaces.http://dx.doi.org/10.1155/2021/5564324 |
| spellingShingle | Nayab Alamgir Quanita Kiran Hassen Aydi Yaé Ulrich Gaba On Controlled Rectangular Metric Spaces and an Application Journal of Function Spaces |
| title | On Controlled Rectangular Metric Spaces and an Application |
| title_full | On Controlled Rectangular Metric Spaces and an Application |
| title_fullStr | On Controlled Rectangular Metric Spaces and an Application |
| title_full_unstemmed | On Controlled Rectangular Metric Spaces and an Application |
| title_short | On Controlled Rectangular Metric Spaces and an Application |
| title_sort | on controlled rectangular metric spaces and an application |
| url | http://dx.doi.org/10.1155/2021/5564324 |
| work_keys_str_mv | AT nayabalamgir oncontrolledrectangularmetricspacesandanapplication AT quanitakiran oncontrolledrectangularmetricspacesandanapplication AT hassenaydi oncontrolledrectangularmetricspacesandanapplication AT yaeulrichgaba oncontrolledrectangularmetricspacesandanapplication |