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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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On fuzzy metric spaces
by
Valentín Gregori
Escuela Politécnica Superior de Gandia (Universidad Politécnica de Valencia), Spain
Coauthors: Salvador Romaguera (Universidad Politécnica de Valencia, Spain)

We prove that the topology induced by any (complete) fuzzy metric in the sense of George and Veeramani is (completely) metrizable and so we are able to generalize, among other classical results, the Niemytzki-Tychonoff theorem to fuzzy metric spaces. We also give versions of fixed point theorems for contractive (fuzzy) mappings in complete fuzzy metric spaces.

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Date received: March 1, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caei-18.