On convergence in fuzzy metric spaces |
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| Authors: | Valentín Gregori Andrés López-Crevillén Almanzor Sapena |
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| Institution: | a Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
b Centro de Investigación en Tecnologías Gráficas, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain |
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| Abstract: | The concept of p-convergence in fuzzy metric spaces, in George and Veeramani's sense, has been recently given by D. Mihet in D. Mihet, On fuzzy contractive mappings in fuzzy metric spaces, Fuzzy Sets and Systems 158 (2007) 915-921]. In this note we study some aspects relative to this concept and characterize those fuzzy metric spaces, that we call principal, in which the family of p-convergent sequences agrees with the family of convergent sequences. Also a non-completable fuzzy metric space, which is not principal, is given. |
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| Keywords: | 54A40 54D35 54E50 |
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