Suzuki type multivalued contractions in <i>C</i><sup>*</sup>-algebra valued metric spaces with an application

Mohammad Asim; Reny George; Mohammad Imdad; Mohammad Asim; Reny George; Mohammad Imdad

doi:10.3934/math.2021068

AIMS Mathematics

2021, Volume 6, Issue 2: 1126-1139. doi: 10.3934/math.2021068

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Research article

Suzuki type multivalued contractions in C^*-algebra valued metric spaces with an application

1.
Department of Mathematics, Faculty of Science, Shree Guru Gobind Singh Tricentenary, Gurugram, Haryana, India
2.
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
3.
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

Received: 20 August 2020 Accepted: 29 October 2020 Published: 11 November 2020
MSC : 47H10, 54H25, 46L07

In the present paper, we established multivalued fixed point results on C^*-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.
- C^*-algebra valued metric space,
- Suzuki type contraction,
- multivalued fixed point
Citation: Mohammad Asim, Reny George, Mohammad Imdad. Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application[J]. AIMS Mathematics, 2021, 6(2): 1126-1139. doi: 10.3934/math.2021068

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Abstract

In the present paper, we established multivalued fixed point results on C^*-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.

References

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