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Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results.
- Source :
-
Mathematics (2227-7390) . Feb2020, Vol. 8 Issue 2, p273. 1p. - Publication Year :
- 2020
-
Abstract
- With the help of C-contractions having a fixed point, we obtain a characterization of complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical theorem of H. Hu (see "Am. Math. Month. 1967, 74, 436–437") that a metric space is complete if and only if any Banach contraction on any of its closed subsets has a fixed point. We apply our main result to deduce that a well-known fixed point theorem due to D. Mihet (see "Fixed Point Theory 2005, 6, 71–78") also allows us to characterize the fuzzy metric completeness. [ABSTRACT FROM AUTHOR]
- Subjects :
- *METRIC spaces
*FIXED point theory
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 142266643
- Full Text :
- https://doi.org/10.3390/math8020273