$ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems
In the present paper, for a unital $ C^* $-algebra A, we introduce a version of $ \alpha_A $-admissible on $ C^* $-algebra-valued b-metric space, we proved some Banach and common fixed point theorems using $ \alpha_A $-admissible. Also, we give some non-trivial examples and an application to illustr...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://aimspress.com/article/doi/10.3934/math.2021590?viewType=HTML |
| _version_ | 1818885163282595840 |
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| author | Saleh Omran Ibtisam Masmali |
| author_facet | Saleh Omran Ibtisam Masmali |
| author_sort | Saleh Omran |
| collection | DOAJ |
| description | In the present paper, for a unital $ C^* $-algebra A, we introduce a version of $ \alpha_A $-admissible on $ C^* $-algebra-valued b-metric space, we proved some Banach and common fixed point theorems using $ \alpha_A $-admissible. Also, we give some non-trivial examples and an application to illustrate our results. |
| first_indexed | 2024-12-19T16:01:04Z |
| format | Article |
| id | doaj.art-7d510180c8f04f6381c2fb1598be4dcc |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-19T16:01:04Z |
| publishDate | 2021-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-7d510180c8f04f6381c2fb1598be4dcc2022-12-21T20:14:56ZengAIMS PressAIMS Mathematics2473-69882021-07-0169101921020610.3934/math.2021590$ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theoremsSaleh Omran 0Ibtisam Masmali11. Department of Mathematics, South Valley University, Qena 83523, Egypt2. Department of Mathematics, College of Science, Jazan University, New Campus, Post Box 2097, Jazan, Saudi ArabiaIn the present paper, for a unital $ C^* $-algebra A, we introduce a version of $ \alpha_A $-admissible on $ C^* $-algebra-valued b-metric space, we proved some Banach and common fixed point theorems using $ \alpha_A $-admissible. Also, we give some non-trivial examples and an application to illustrate our results.https://aimspress.com/article/doi/10.3934/math.2021590?viewType=HTMLc<sup>∗</sup>-algebra-valued b-metric spacefixed point theoremα-admissible |
| spellingShingle | Saleh Omran Ibtisam Masmali $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems AIMS Mathematics c<sup>∗</sup>-algebra-valued b-metric space fixed point theorem α-admissible |
| title | $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems |
| title_full | $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems |
| title_fullStr | $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems |
| title_full_unstemmed | $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems |
| title_short | $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems |
| title_sort | alpha admissible mapping in c algebra valued b metric spaces and fixed point theorems |
| topic | c<sup>∗</sup>-algebra-valued b-metric space fixed point theorem α-admissible |
| url | https://aimspress.com/article/doi/10.3934/math.2021590?viewType=HTML |
| work_keys_str_mv | AT salehomran alphaadmissiblemappingincalgebravaluedbmetricspacesandfixedpointtheorems AT ibtisammasmali alphaadmissiblemappingincalgebravaluedbmetricspacesandfixedpointtheorems |