On fixed point theorems in C<sup>∗</sup>-algebra valued b-asymmetric metric spaces
In this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature. The $ C^* $-algebra-valued $ b $-asymmetric metric space is illustrated with examples, as well as an applic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022661?viewType=HTML |
| _version_ | 1818202316838273024 |
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| author | Ouafaa Bouftouh Samir Kabbaj Thabet Abdeljawad Aiman Mukheimer |
| author_facet | Ouafaa Bouftouh Samir Kabbaj Thabet Abdeljawad Aiman Mukheimer |
| author_sort | Ouafaa Bouftouh |
| collection | DOAJ |
| description | In this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature. The $ C^* $-algebra-valued $ b $-asymmetric metric space is illustrated with examples, as well as an application for determining the existence and uniqueness of a solution for a type of matrix equations and integral equation. |
| first_indexed | 2024-12-12T03:07:31Z |
| format | Article |
| id | doaj.art-81d7592ae30b4a26b9ce53adb1b49a2f |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-12T03:07:31Z |
| publishDate | 2022-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-81d7592ae30b4a26b9ce53adb1b49a2f2022-12-22T00:40:29ZengAIMS PressAIMS Mathematics2473-69882022-04-0177118511186110.3934/math.2022661On fixed point theorems in C<sup>∗</sup>-algebra valued b-asymmetric metric spacesOuafaa Bouftouh0Samir Kabbaj1Thabet Abdeljawad2Aiman Mukheimer 31. Laboratory of Partial Differential Equations, Algebra and Spectral Geometry. Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, BP 133 Kenitra Morocco1. Laboratory of Partial Differential Equations, Algebra and Spectral Geometry. Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, BP 133 Kenitra Morocco2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia 3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi ArabiaIn this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature. The $ C^* $-algebra-valued $ b $-asymmetric metric space is illustrated with examples, as well as an application for determining the existence and uniqueness of a solution for a type of matrix equations and integral equation. https://www.aimspress.com/article/doi/10.3934/math.2022661?viewType=HTMLc<sub>∗</sub>-algebrasb-asymmetric spacesb-forward convergenceb-backward convergencefixed pointcontraction |
| spellingShingle | Ouafaa Bouftouh Samir Kabbaj Thabet Abdeljawad Aiman Mukheimer On fixed point theorems in C<sup>∗</sup>-algebra valued b-asymmetric metric spaces AIMS Mathematics c<sub>∗</sub>-algebras b-asymmetric spaces b-forward convergence b-backward convergence fixed point contraction |
| title | On fixed point theorems in C<sup>∗</sup>-algebra valued b-asymmetric metric spaces |
| title_full | On fixed point theorems in C<sup>∗</sup>-algebra valued b-asymmetric metric spaces |
| title_fullStr | On fixed point theorems in C<sup>∗</sup>-algebra valued b-asymmetric metric spaces |
| title_full_unstemmed | On fixed point theorems in C<sup>∗</sup>-algebra valued b-asymmetric metric spaces |
| title_short | On fixed point theorems in C<sup>∗</sup>-algebra valued b-asymmetric metric spaces |
| title_sort | on fixed point theorems in c sup ∗ sup algebra valued b asymmetric metric spaces |
| topic | c<sub>∗</sub>-algebras b-asymmetric spaces b-forward convergence b-backward convergence fixed point contraction |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022661?viewType=HTML |
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