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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Elango Roja, Mallasamudram Kuppusamy Uma, Ganesan Balasubramanian (2008)
Mathematica Bohemica
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In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.
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.
Lee, B.S., Cho, S.J. (1994)
International Journal of Mathematics and Mathematical Sciences
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Kavikumar, J., Khamis, Azme Bin, Kandasamy, R. (2007)
International Journal of Mathematics and Mathematical Sciences
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Mohamad, Abdul (2010)
International Journal of Mathematics and Mathematical Sciences
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Grosu, Marta, Grosu, Corina (2001)
APPS. Applied Sciences
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Ismat Beg, Mujahid Abbas (2011)
Mathematica Bohemica
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We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all -best approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a...