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On fixed point theorems in $F_g$-metric spaces

Ansari Shakeel Anjum and Chintaman Tukaram Aage
Vol. 15 (2027), No. 1, 21–36
DOI: 10.2140/memocs.2027.15.21
Abstract

We prove fixed point theorems in the ℱg-metric spaces. We provide a supporting example. We also construct an example of the ℱg-metric space where g is jointly continuous.

Keywords
fixed point, $F_{g}$-metric space, generalized metric spaces
Mathematical Subject Classification
Primary: 47H09
Secondary: 47H10
Milestones
Received: 29 May 2025
Revised: 8 June 2026
Accepted: 30 June 2026
Published: 22 September 2026

Communicated by Vladimir Salnikov
Authors
Ansari Shakeel Anjum
Department of Engineering Sciences and Humanities
Thakur College of Engineering and Technology
Mumbai
India
Chintaman Tukaram Aage
Department of Mathematics
KBC North Maharashtra University
Jalgaon
India
© 2027 MSP (Mathematical Sciences Publishers).