Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spaces
We initiate the concept of $C^{*}$-algebra-valued $G_{b}$-metric spaces. We study some basic properties of such spaces and then prove some fixed point theorems for Banach and Kannan types via $\mathit{C_{*}}$-class functions. Also, some nontrivial examples are presented to ensure the effectiveness a...
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2020-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/3889 |
| _version_ | 1797205845944041472 |
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| author | B. Moeini H. Işik H. Aydi |
| author_facet | B. Moeini H. Işik H. Aydi |
| author_sort | B. Moeini |
| collection | DOAJ |
| description | We initiate the concept of $C^{*}$-algebra-valued $G_{b}$-metric spaces. We study some basic properties of such spaces and then prove some fixed point theorems for Banach and Kannan types via $\mathit{C_{*}}$-class functions. Also, some nontrivial examples are presented to ensure the effectiveness and applicability of the obtained results. |
| first_indexed | 2024-04-24T08:57:36Z |
| format | Article |
| id | doaj.art-7a1c416401fc4e93ab992f738ebb3263 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-24T08:57:36Z |
| publishDate | 2020-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-7a1c416401fc4e93ab992f738ebb32632024-04-16T07:00:37ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102020-06-011219410610.15330/cmp.12.1.94-1063382Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spacesB. Moeini0H. Işik1https://orcid.org/0000-0001-7558-4088H. Aydi2https://orcid.org/0000-0003-4606-7211Department of Mathematics, Islamic Azad University, Hidaj, IranDepartment of Mathematics, Muş Alparslan University, 49250, Muş, TurkeyInstitut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, 4000, H. Sousse, TunisiaWe initiate the concept of $C^{*}$-algebra-valued $G_{b}$-metric spaces. We study some basic properties of such spaces and then prove some fixed point theorems for Banach and Kannan types via $\mathit{C_{*}}$-class functions. Also, some nontrivial examples are presented to ensure the effectiveness and applicability of the obtained results.https://journals.pnu.edu.ua/index.php/cmp/article/view/3889fixed point$\mathit{c_{*}}$-class function$c^{*}$-algebra-valued $g_{b}$-metric space |
| spellingShingle | B. Moeini H. Işik H. Aydi Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spaces Karpatsʹkì Matematičnì Publìkacìï fixed point $\mathit{c_{*}}$-class function $c^{*}$-algebra-valued $g_{b}$-metric space |
| title | Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spaces |
| title_full | Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spaces |
| title_fullStr | Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spaces |
| title_full_unstemmed | Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spaces |
| title_short | Related fixed point results via $\mathit{C_{*}}$-class functions on $C^{*}$-algebra-valued $G_{b}$-metric spaces |
| title_sort | related fixed point results via mathit c class functions on c algebra valued g b metric spaces |
| topic | fixed point $\mathit{c_{*}}$-class function $c^{*}$-algebra-valued $g_{b}$-metric space |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/3889 |
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