C *-Algebra Valued Partial b -Metric Spaces and Fixed Point Results with an Application

Nabil Mlaiki, Mohammad Asim and Mohammad Imdad
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Nabil Mlaiki: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Mohammad Asim: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Mohammad Imdad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Mathematics, 2020, vol. 8, issue 8, 1-11

Abstract: In this paper, we enlarge the class of C * -algebra valued partial metric spaces as well as the class of C * -algebra valued b -metric spaces by introducing the class of C * -algebra valued partial b -metric spaces and utilize the same to prove our fixed point results. We furnish an example to highlight the utility of our main result. Finally, we apply our result in order to examine the existence and uniqueness of a solution for the system of Fredholm integral equations.

Keywords: C *-algebra; C *-algebra valued partial b-metric space; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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