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

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Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(8), 1381; https://doi.org/10.3390/math8081381
Received: 6 July 2020 / Revised: 13 August 2020 / Accepted: 14 August 2020 / Published: 18 August 2020
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. View Full-Text
Keywords: C*-algebra; C*-algebra valued partial b-metric space; fixed point C*-algebra; C*-algebra valued partial b-metric space; fixed point
MDPI and ACS Style

Mlaiki, N.; Asim, M.; Imdad, M. C*-Algebra Valued Partial b-Metric Spaces and Fixed Point Results with an Application. Mathematics 2020, 8, 1381.

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