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00925njm 22002777a 4500 dc Gregori, Valentin author Miñana, Juan-José author Miravet, David author 2019-03-25 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. Gregori V, Miñana Prats JJ, Miravet D. Extended Fuzzy Metrics and Fixed Point Theorems. Mathematics. 2019 Mar 25;7(3):303. 10.3390/math7030303 2227-7390 Mathematics http://hdl.handle.net/20.500.13003/17578 2-s2.0-85063877349 https://hdl.handle.net/20.500.12105/22735 464350000002 Fuzzy metric space Fuzzy contractive mapping Fixed point Extended Fuzzy Metrics and Fixed Point Theorems