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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2023 Volume 12(30), Issue 3, Pages 119–131 (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

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.

UDC: 517.988

MSC: 47H10, 54H25

Received: 09.01.2023
Revised: 04.06.2023
Accepted: 06.06.2023

Language: English

DOI: 10.15393/j3.art.2023.13110



© Steklov Math. Inst. of RAS, 2024