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A Perov Version of Fuzzy Metric Spaces and Common Fixed Points for Compatible Mappings
- Source :
- Mathematics, Vol 9, Iss 1290, p 1290 (2021), Mathematics, Volume 9, Issue 11
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
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.
- Subjects :
- Pure mathematics
General Mathematics
010102 general mathematics
fuzzy topology
Fixed point
Space (mathematics)
01 natural sciences
Fuzzy topology
Fuzzy metric space
010101 applied mathematics
coincidence point
Computer Science (miscellaneous)
Common fixed point
perov metric space
QA1-939
fuzzy metric space
hadžić type t-norm
0101 mathematics
Engineering (miscellaneous)
Contraction (operator theory)
Coincidence point
Topology (chemistry)
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 1290
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....f711c7584ede845ec777b5658acf6616