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Research Article | Open Access

C ∗ -algebra valued R -metric space and fixed point theorems

Astha Malhotra1, Deepak Kumar1( ), Choonkil Park2( )
Department of Mathematics, Lovely Professional University, Phagwara 144411, India
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
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Abstract

In the present manuscript, notions of C ∗ -algebra valued R -metric space and C ∗ -algebra valued R -contractive map are introduced along with some fixed point results which in turn generalizes and unifies certain well known results in the existing literature. Further, in support of the obtained results some illustrative examples have been provided.

Keywords

C∗-algebraR-metric spaceC∗-algebra valued R-metric spaceC∗-algebra valued R-contractive mapfixed point
CLC number: 47H10, 54H25, 46J10, 46J15

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 6550-6564
DOI: 10.3934/math.2022365

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Cite this article:
Malhotra A, Kumar D, Park C. C ∗ -algebra valued R -metric space and fixed point theorems. AIMS Mathematics, 2022, 7(4): 6550-6564. https://doi.org/10.3934/math.2022365

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Received: 29 August 2021
Revised: 10 January 2022
Accepted: 11 January 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)