C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application
In this article, we introduce the concept of C∗-algebra-valued extended rectangular Hb-metric spaces and use it to prove the Banach contraction principle (BCP). Also, we extend this concept to Presić type contractions and use a method to shorten the proof. We also take an application to show the use...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7347385 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565783059759104 |
|---|---|
| author | Madjid Kohi Hasan Hosseinzadeh Rasoul Abazari Ali Bagheri Vahid Parvaneh |
| author_facet | Madjid Kohi Hasan Hosseinzadeh Rasoul Abazari Ali Bagheri Vahid Parvaneh |
| author_sort | Madjid Kohi |
| collection | DOAJ |
| description | In this article, we introduce the concept of C∗-algebra-valued extended rectangular Hb-metric spaces and use it to prove the Banach contraction principle (BCP). Also, we extend this concept to Presić type contractions and use a method to shorten the proof. We also take an application to show the usefulness of our main result. |
| format | Article |
| id | doaj-art-60ff3088153243cf94aedfe0ad9e7680 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-60ff3088153243cf94aedfe0ad9e76802025-02-03T01:06:39ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7347385C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an ApplicationMadjid Kohi0Hasan Hosseinzadeh1Rasoul Abazari2Ali Bagheri3Vahid Parvaneh4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, we introduce the concept of C∗-algebra-valued extended rectangular Hb-metric spaces and use it to prove the Banach contraction principle (BCP). Also, we extend this concept to Presić type contractions and use a method to shorten the proof. We also take an application to show the usefulness of our main result.http://dx.doi.org/10.1155/2022/7347385 |
| spellingShingle | Madjid Kohi Hasan Hosseinzadeh Rasoul Abazari Ali Bagheri Vahid Parvaneh C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application Journal of Mathematics |
| title | C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application |
| title_full | C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application |
| title_fullStr | C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application |
| title_full_unstemmed | C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application |
| title_short | C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application |
| title_sort | c∗ algebra valued extended rectangular hb metric spaces and presic type fixed point theorem with an application |
| url | http://dx.doi.org/10.1155/2022/7347385 |
| work_keys_str_mv | AT madjidkohi calgebravaluedextendedrectangularhbmetricspacesandpresictypefixedpointtheoremwithanapplication AT hasanhosseinzadeh calgebravaluedextendedrectangularhbmetricspacesandpresictypefixedpointtheoremwithanapplication AT rasoulabazari calgebravaluedextendedrectangularhbmetricspacesandpresictypefixedpointtheoremwithanapplication AT alibagheri calgebravaluedextendedrectangularhbmetricspacesandpresictypefixedpointtheoremwithanapplication AT vahidparvaneh calgebravaluedextendedrectangularhbmetricspacesandpresictypefixedpointtheoremwithanapplication |