Some common fixed-point and fixed-figure results with a function family on $ S_{b} $-metric spaces

In this paper, we prove a common fixed-point theorem for four self-mappings with a function family on $ S_{b} $-metric spaces. In addition, we investigate some geometric properties of the fixed-point set of a given self-mapping. In this context, we obtain a fixed-disc (resp. fixed-circle), fixed-ell...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 6; pp. 13050 - 13065
Main Authors Taş, Nihal, Ayoob, Irshad, Mlaiki, Nabil
Format Journal Article
LanguageEnglish
Published AIMS Press 01.04.2023
Subjects
fixed figure
fixed point
s_{b} $-metric
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Summary:In this paper, we prove a common fixed-point theorem for four self-mappings with a function family on $ S_{b} $-metric spaces. In addition, we investigate some geometric properties of the fixed-point set of a given self-mapping. In this context, we obtain a fixed-disc (resp. fixed-circle), fixed-ellipse, fixed-hyperbola, fixed-Cassini curve and fixed-Apollonious circle theorems on $ S_{b} $-metric spaces.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023657