C* -algebra-valued Sb-metric spaces and applications to integral equations
We first introduce the concept of $C^{*}$-algebra-valued $S_{b}$-metric space, then we prove Banach contraction principle in this space. Finally, existence and uniqueness results for one type of integral equation is discussed.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Amirkabir University of Technology
2025-01-01
|
| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_5282_da2c44854141d3cf64db8a17c57a5e4d.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850146811735441408 |
|---|---|
| author | Seyede Samira Razavi Hashem Parvaneh Masiha |
| author_facet | Seyede Samira Razavi Hashem Parvaneh Masiha |
| author_sort | Seyede Samira Razavi |
| collection | DOAJ |
| description | We first introduce the concept of $C^{*}$-algebra-valued $S_{b}$-metric space, then we prove Banach contraction principle in this space. Finally, existence and uniqueness results for one type of integral equation is discussed. |
| format | Article |
| id | doaj-art-e68ecff814d549beb905b5a1481d294f |
| institution | OA Journals |
| issn | 2783-2449 2783-2287 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj-art-e68ecff814d549beb905b5a1481d294f2025-08-20T02:27:45ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872025-01-0161313910.22060/ajmc.2023.22211.11405282C* -algebra-valued Sb-metric spaces and applications to integral equationsSeyede Samira Razavi0Hashem Parvaneh Masiha1Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, IranFaculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, IranWe first introduce the concept of $C^{*}$-algebra-valued $S_{b}$-metric space, then we prove Banach contraction principle in this space. Finally, existence and uniqueness results for one type of integral equation is discussed.https://ajmc.aut.ac.ir/article_5282_da2c44854141d3cf64db8a17c57a5e4d.pdfbanach contraction principle$b$-metric space$s_{b}$-metric space$c^*$-algebraintegral equation |
| spellingShingle | Seyede Samira Razavi Hashem Parvaneh Masiha C* -algebra-valued Sb-metric spaces and applications to integral equations AUT Journal of Mathematics and Computing banach contraction principle $b$-metric space $s_{b}$-metric space $c^*$-algebra integral equation |
| title | C* -algebra-valued Sb-metric spaces and applications to integral equations |
| title_full | C* -algebra-valued Sb-metric spaces and applications to integral equations |
| title_fullStr | C* -algebra-valued Sb-metric spaces and applications to integral equations |
| title_full_unstemmed | C* -algebra-valued Sb-metric spaces and applications to integral equations |
| title_short | C* -algebra-valued Sb-metric spaces and applications to integral equations |
| title_sort | c algebra valued sb metric spaces and applications to integral equations |
| topic | banach contraction principle $b$-metric space $s_{b}$-metric space $c^*$-algebra integral equation |
| url | https://ajmc.aut.ac.ir/article_5282_da2c44854141d3cf64db8a17c57a5e4d.pdf |
| work_keys_str_mv | AT seyedesamirarazavi calgebravaluedsbmetricspacesandapplicationstointegralequations AT hashemparvanehmasiha calgebravaluedsbmetricspacesandapplicationstointegralequations |