C*-algebra valued quasi metric spaces and fixed point results with an application

Mohammad Asim; Santosh Kumar; Mohammad Imdad; Reny George

doi:10.4995/agt.2022.16783

Authors

Mohammad Asim Shree Guru Gobind Singh Tricentenary University https://orcid.org/0000-0002-2209-4488
Santosh Kumar University of Dar es Salaam https://orcid.org/0000-0003-2121-6428
Mohammad Imdad Aligarh Muslim University https://orcid.org/0000-0003-3270-1365
Reny George Prince Sattam bin Abdulaziz University https://orcid.org/0000-0003-2314-0412

DOI:

https://doi.org/10.4995/agt.2022.16783

Keywords:

C*-algebra, C-algebra valued quasi metric spaces, fixed point, integral equations

Abstract

In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.

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Author Biographies

Mohammad Asim, Shree Guru Gobind Singh Tricentenary University

Assistant Professor, Department of Mathematics, Faculty of Science

Santosh Kumar, University of Dar es Salaam

Department of Mathematics, College of Natural and Applied Sciences

Associate Professor

(Fixed Point Theory)

Mohammad Imdad, Aligarh Muslim University

Professor, Department of Mathematics

Reny George, Prince Sattam bin Abdulaziz University

Professor, Department of Mathematics, College of Science and Humanities in Al-Kharj

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