Korean J. Math. Vol. 28 No. 1 (2020) pp.17-30
DOI: https://doi.org/10.11568/kjm.2020.28.1.17

$C^*$-algebra valued symmetric spaces and fixed point results with an application

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Published: Mar 30, 2020
Keywords:
C∗-algebra, C∗-algebra valued symmetric space, fixed point
Mathematics Subject Classification:
C∗-algebra, 47H10, C∗-algebra valued symmetric space, 54H25

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Mohammad Asim
Department of Mathematics Aligarh Muslim University Aligarh-202002, India
Mohammad Imdad
Department of Mathematics Aligarh Muslim University Aligarh-202002, India

Abstract

In this paper, we firstly introduce the class of $C^*$-algebra valued symmetric 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 to examine the existence and uniqueness of a solution for a system of Fredholm integral equations.


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