Displaying similar documents to “On fuzzy ε -contractive mappings 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 n are dealt with in detail.

Fuzzy entire sequence spaces.

Kavikumar, J., Khamis, Azme Bin, Kandasamy, R. (2007)

International Journal of Mathematics and Mathematical Sciences

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Invariant approximation for fuzzy nonexpansive mappings

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 t -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...