Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application
In the present paper, we established multivalued fixed point results on <em>C</em><sup>*</sup>-algebra valued metric spaces and utilized the same to prove fixed point results via Suzuki type contraction. An example is also given to exhibit the utility of our main result. We a...
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AIMS Press
2021-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2021068/fulltext.html |
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doaj-b732f904943d4b07ac443e558ec6838c2020-11-25T04:04:30ZengAIMS PressAIMS Mathematics2473-69882021-11-01621126113910.3934/math.2021068Suzuki type multivalued contractions in C*-algebra valued metric spaces with an applicationMohammad Asim0Reny George1Mohammad Imdad21 Department of Mathematics, Faculty of Science, Shree Guru Gobind Singh Tricentenary, Gurugram, Haryana, India2 Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia3 Department of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaIn the present paper, we established multivalued fixed point results on <em>C</em><sup>*</sup>-algebra valued metric spaces and utilized the same to prove fixed point results via Suzuki type contraction. An example is also given to exhibit the utility of our main result. We also provided a system of Fredholm integral equations to examine the existence and uniqueness of solutions supporting our main result.https://www.aimspress.com/article/10.3934/math.2021068/fulltext.htmlc*-algebra valued metric spacesuzuki type contractionmultivalued fixed point |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohammad Asim Reny George Mohammad Imdad |
| spellingShingle |
Mohammad Asim Reny George Mohammad Imdad Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application AIMS Mathematics c*-algebra valued metric space suzuki type contraction multivalued fixed point |
| author_facet |
Mohammad Asim Reny George Mohammad Imdad |
| author_sort |
Mohammad Asim |
| title |
Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application |
| title_short |
Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application |
| title_full |
Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application |
| title_fullStr |
Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application |
| title_full_unstemmed |
Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application |
| title_sort |
suzuki type multivalued contractions in c*-algebra valued metric spaces with an application |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2021-11-01 |
| description |
In the present paper, we established multivalued fixed point results on <em>C</em><sup>*</sup>-algebra valued metric spaces and utilized the same to prove fixed point results via Suzuki type contraction. An example is also given to exhibit the utility of our main result. We also provided a system of Fredholm integral equations to examine the existence and uniqueness of solutions supporting our main result. |
| topic |
c*-algebra valued metric space suzuki type contraction multivalued fixed point |
| url |
https://www.aimspress.com/article/10.3934/math.2021068/fulltext.html |
| work_keys_str_mv |
AT mohammadasim suzukitypemultivaluedcontractionsincalgebravaluedmetricspaceswithanapplication AT renygeorge suzukitypemultivaluedcontractionsincalgebravaluedmetricspaceswithanapplication AT mohammadimdad suzukitypemultivaluedcontractionsincalgebravaluedmetricspaceswithanapplication |
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1724436431798009856 |