On convergence in fuzzy metric spaces

On convergence in fuzzy metric spaces
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DOI:
10.1016/j.topol.2008.12.043
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发表时间:
2009-12
影响因子:
0.6
通讯作者:
V. Gregori;Andrés López-Crevillén;Samuel Morillas;A. Sapena
V. Gregori;Andrés López-Crevillén;Samuel Morillas;A. Sapena
中科院分区:
数学4区
文献类型:
--
作者:
V. Gregori;Andrés López-Crevillén;Samuel Morillas;A. Sapena

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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.