scholarly journals Caristi type mappings and characterization of completeness of Archimedean type fuzzy metric spaces

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
J. Martínez-Moreno ◽  
D. Gopal ◽  
Vladimir Rakočević ◽  
A. S. Ranadive ◽  
R. P. Pant
Keyword(s):  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

A characterization of p-complete fuzzy metric spaces

2021 ◽  
Author(s):  
Valentín Gregori ◽  
Juan-José Miñana ◽  
Bernardino Roig ◽  
Almanzor Sapena
Keyword(s):  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

scholarly journals Multivalued Caristi’s type mappings in fuzzy metric spaces and a characterization of fuzzy metric completeness

Filomat ◽  
2015 ◽  
Vol 29 (6) ◽  
pp. 1217-1222 ◽  
Author(s):  
Mujahid Abbas ◽  
Basit Ali ◽  
Salvador Romaguera
Keyword(s):  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

scholarly journals Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 273 ◽  
Author(s):  
Salvador Romaguera ◽  
Pedro Tirado
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Classical Theorem ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Banach Contraction

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.

scholarly journals w-Distances on Fuzzy Metric Spaces and Fixed Points

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1909
Author(s):  
Salvador Romaguera
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Complete Metric Spaces ◽  
Fuzzy Metric

We propose a notion of w-distance for fuzzy metric spaces, in the sense of Kramosil and Michalek, which allows us to obtain a characterization of complete fuzzy metric spaces via a suitable fixed point theorem that is proved here. Our main result provides a fuzzy counterpart of a renowned characterization of complete metric spaces due to Suzuki and Takahashi.

scholarly journals Some Remarks on Fuzzy sb-Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2123
Author(s):  
Tarkan Öner ◽  
Alexander Šostak
Keyword(s):  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Zero Sets ◽  
Fuzzy Metric ◽  
Induced Topology

Fuzzy strong b-metrics called here by fuzzy sb-metrics, were introduced recently as a fuzzy version of strong b-metrics. It was shown that open balls in fuzzy sb-metric spaces are open in the induced topology (as different from the case of fuzzy b-metric spaces) and thanks to this fact fuzzy sb-metrics have many useful properties common with fuzzy metric spaces which generally may fail to be in the case of fuzzy b-metric spaces. In the present paper, we go further in the research of fuzzy sb-metric spaces. It is shown that the class of fuzzy sb-metric spaces lies strictly between the classes of fuzzy metric and fuzzy b-metric spaces. We prove that the topology induced by a fuzzy sb-metric is metrizable. A characterization of completeness in terms of diameter zero sets in these structures is given. We investigate products and coproducts in the naturally defined category of fuzzy sb-metric spaces.

Sign in / Sign up

Export Citation Format

Share Document