Korean J. Math. Vol. 31 No. 4 (2023) pp.391-403
DOI: https://doi.org/10.11568/kjm.2023.31.4.391

Common fixed point results via F-contraction on C∗-algebra valued metric spaces

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Published: Dec 30, 2023
Keywords:
Common fixed point, F-contraction, weakly compatible mappings.
Mathematics Subject Classification:
47H10, 54H25

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Shivani Kukreti
Department of Mathematics, H.N.B. Garhwal University, Srinagar Garhwal, India-246174
Gopi Prasad
Department of Mathematics, Dr. Shivanand Nautiyal Goverment Post Graduate College, Karanprayag, Uttarakhand, India-246444
https://orcid.org/0000-0002-8724-3309
Ramesh Chandra Dimri
Department of Mathematics, H.N.B. Garhwal University, Srinagar Garhwal, India-246174

Abstract

In this work, we establish common fixed point results by utilizing a variant of F-contraction in the framework of C∗-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.



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