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Problemy Analiza — Issues of Analysis, 2023, Volume 12(30), Issue 3, Pages 119–131
DOI: https://doi.org/10.15393/j3.art.2023.13110 (Mi pa386) 		 
Rational type cyclic contraction in $G$-metric Spaces

S. V. Puvar, R. G. Vyas

Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda Vadodara, Gujarat 390002, India
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DOI: https://doi.org/10.15393/j3.art.2023.13110
Abstract: Rational type cyclic contraction via $\mathcal{C}$-class function is established in $G$-metric spaces, which can not be reduced to the contractive condition in standard metric spaces. A common fixed-point result is obtained for the pair of $(A, B)$-weakly increasing mappings in $G$-metric spaces.
Keywords: G-metric spaces, Cyclic maps, $\mathcal{C}$-class function, Common fixed point.
Funding agency Grant number
SHODH-Scheme (Gujarat Government) 202001720096
The first author acknowledges the financial support by SHODH-Scheme (Gujarat Government) with student reference number-202001720096.
Received: 09.01.2023
Revised: 04.06.2023
Accepted: 06.06.2023
Document Type: Article
UDC: 517.988
MSC: 47H10, 54H25
Language: English
Citation: S. V. Puvar, R. G. Vyas, “Rational type cyclic contraction in $G$-metric Spaces”, Probl. Anal. Issues Anal., 12(30):3 (2023), 119–131
Citation in format AMSBIB
\Bibitem{PuvVya23}
\by S.~V.~Puvar, R.~G.~Vyas
\paper Rational type cyclic contraction in $G$-metric Spaces
\jour Probl. Anal. Issues Anal.
\yr 2023
\vol 12(30)
\issue 3
\pages 119--131
\mathnet{http://mi.mathnet.ru/pa386}
\crossref{https://doi.org/10.15393/j3.art.2023.13110}
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