Some fixed point results of \(F\)-contraction in parametric \(S\)-metric spaces

Volume 34, Issue 1, pp 27--34 https://dx.doi.org/10.22436/jmcs.034.01.03

Publication Date: February 12, 2024 Submission Date: September 29, 2023 Revision Date: December 09, 2023 Accteptance Date: December 11, 2023

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Authors

K. M. Devi - Department of Mathematics, Waikhom Mani Girls' College, Thoubal, 795138, Manipur, India. K. A. Singh - Department of Mathematics, Manipur University Canchipur, Imphal, 795003, Manipur, India.

Abstract

In this paper, we introduce the concept of \(F\)-contractions in parametric \(S\)-metric space. Further, we prove a unique fixed point theorem in parametric \(S\)-metric space. Another result is also obtained as corollary.

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Keywords

• \(F\)-contraction
• fixed points
• parametric \(S\)-metric space

MSC

•  47H10
•  54H25

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