On convergence in fuzzy metric spaces

被引：49
|
作者：
Gregori, Valentin [1 ]
Lopez-Crevillen, Andres [1 ]
Morillas, Samuel [2 ]
Sapena, Almanzor [1 ]
机构：
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain
[2] Univ Politecn Valencia, Ctr Invest Tecnol Graf, Valencia 46022, Spain
来源：
TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 18期
关键词：
(Stationary) fuzzy metric; Cauchy sequence; p-convergent sequence; REMOVAL;
D O I：
10.1016/j.topol.2008.12.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：3002 / 3006
页数：5
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