Meir–Keeler Fixed-Point Theorems in Tripled Fuzzy Metric Spaces

Hui Yang ()
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Hui Yang: Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Mathematics, 2023, vol. 11, issue 24, 1-18

Abstract: In this paper, we first propose the concept of a family of quasi- G -metric spaces corresponding to the tripled fuzzy metric spaces (or G -fuzzy metric spaces). Using their properties, we give the characterization of tripled fuzzy metrics. Second, we introduce the notion of generalized fuzzy Meir–Keeler-type contractions in G -fuzzy metric spaces. With the aid of the proposed notion, we show that every orbitally continuous generalized fuzzy Meir–Keeler-type contraction has a unique fixed point in complete G -fuzzy metric spaces. In the end, an example illustrates the validity of our results.

Keywords: tripled fuzzy metric space; quasi G-metric family; generalized fuzzy Meir–Keeler-type contraction; orbital continuity; fixed-point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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