Identifier to cite or link to this item: http://hdl.handle.net/20.500.13003/17578
Extended Fuzzy Metrics and Fixed Point Theorems
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CitationGregori V, Miñana Prats JJ, Miravet D. Extended Fuzzy Metrics and Fixed Point Theorems. Mathematics. 2019 Mar 25;7(3):303.
In this paper, we study those fuzzy metrics M on X, in the George and Veeramani's sense, such that t>0M(x,y,t)>0. The continuous extension M0 of M to X2x0,+infinity is called extended fuzzy metric. We prove that M0 generates a metrizable topology on X, which can be described in a similar way to a classical metric. M0 can be used for simplifying or improving questions concerning M; in particular, we expose the interest of this kind of fuzzy metrics to obtain generalizations of fixed point theorems given in fuzzy metric spaces.