A contraction theorem in fuzzy metric spaces.
Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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Dutta, P.N., Choudhury, B.S., Das, Krishnapada (2009)
Surveys in Mathematics and its Applications
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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.
Miheţ, Dorel (2007)
Fixed Point Theory and Applications [electronic only]
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Grosu, Marta, Grosu, Corina (2001)
APPS. Applied Sciences
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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.
Badshah, V.H., Joshi, Varsha (2011)
Journal of Applied Mathematics
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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...
Ivan Kramosil, Jiří Michálek (1975)
Kybernetika
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