A contraction theorem in fuzzy metric spaces.
Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Fuzzy metrics and statistical metric spaces”
A contraction theorem in fuzzy metric spaces.
Fuzzy distances
Josef Bednář (2005)
Kybernetika
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In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to are dealt with in detail.
Metrics on vector spaces with -localisation.
Grosu, Marta, Grosu, Corina (2001)
APPS. Applied Sciences
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The fuzzy metric space based on fuzzy measure
Jialiang Xie, Qingguo Li, Shuili Chen, Huan Huang (2016)
Open Mathematics
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In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.
On fuzzy -contractive mappings in fuzzy metric spaces.
Miheţ, Dorel (2007)
Fixed Point Theory and Applications [electronic only]
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Topological degree theory in fuzzy metric spaces
M.H.M. Rashid (2019)
Archivum Mathematicum
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The aim of this paper is to modify the theory to fuzzy metric spaces, a natural extension of probabilistic ones. More precisely, the modification concerns fuzzily normed linear spaces, and, after defining a fuzzy concept of completeness, fuzzy Banach spaces. After discussing some properties of mappings with compact images, we define the (Leray-Schauder) degree by a sort of colimit extension of (already assumed) finite dimensional ones. Then, several properties of thus defined concept...
Caristi's fixed point theorem and its equivalences in fuzzy metric spaces
Naser Abbasi, Hamid Mottaghi Golshan (2016)
Kybernetika
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In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.