A Perov Version of Fuzzy Metric Spaces and Common Fixed Points for Compatible Mappings

Juan Martínez-Moreno and Dhananjay Gopal
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Juan Martínez-Moreno: Department of Mathematics, University of Jaén, Campus las Lagunillas s/n, 23071 Jaén, Spain
Dhananjay Gopal: Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India

Mathematics, 2021, vol. 9, issue 11, 1-14

Abstract: In this paper, we define and study the Perov fuzzy metric space and the topology induced by this space. We prove Banach contraction theorems. Moreover, we devised new results for Kramosil and Michálek fuzzy metric spaces. In the process, some results about multidimensional common fixed points as coupled/tripled common fixed point results are derived from our main results.

Keywords: fuzzy metric space; perov metric space; coincidence point; fuzzy topology; hadži? type t-norm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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