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

Probl. Anal. Issues Anal., 2022 Volume 11(29), Issue 2, Pages 72–90 (Mi pa353)

This article is cited in 1 paper

Ćirić-type results in quasi-metric spaces and $G$-metric spaces using simulation function

S. V. Puvar, R. G. Vyas

Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat 390002, India

Abstract: In this paper, we establish existence of some common fixed-point theorems for admissible mappings via a simulation function along with $\mathcal{C}$-class functions in quasi-metric spaces. As a consequence, these results are extended to $G$-metric spaces and metric spaces.

Keywords: quasi-metric space, $G$-metric space, simulation function, common fixed point, admissible mappings.

UDC: 517.521.2, 517.988

MSC: 47H10, 54H25

Received: 15.12.2021
Revised: 02.03.2022
Accepted: 05.03.2022

Language: English

DOI: 10.15393/j3.art.2022.11230



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