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Research Article Open access CC BY 4.0

A Common Fixed-point Theorem of Mappings on S-metric Spaces

Siditë Duraj, Silvana Liftaj

Asian Journal of Probability and Statistics · pp. 40–45 · Published 11 Oct 2022

10.9734/ajpas/2022/v20i2417

Abstract

Fixed Point Theory is developed during the years by generalizing various types of contractions or changing the axioms of metric spaces. The S-metric spaces extend the concept of metric spaces since the determination of axioms of S-metric are more general. In this paper, we prove a common fixed-point theorem of two mappings in S-metric space. The theorem uses an implicit contractive condition, based on functions of class F6.  With the change of the form of the functions of class F6 , we obtain different results for common fixed points of two functions.

S-metric space common fixed point contractive condition function of class F6 weakly compatible mappings

Cited by 2

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

Nihal Taş, Irshad Ayoob, Nabil Mlaiki · AIMS Mathematics · 2023

Showing 1 of 2 known citations — external sources report more than can currently be individually listed.

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