摘要
The notion of uniform continuity in fuzzy metric spaces was first introduced by George and Veeramani in 1995. Later, Gregori et al. gave some contributions to the theory. As a consequence of the study, we introduce the notion of RUC fuzzy metric space. Also, necessary and sufficient conditions for a fuzzy metric space to be an RUC fuzzy metric space are studied. In addition, several examples are given.Y
MinNan Normal University Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China.
通讯作者地址: Li, CQ (通讯作者)
显示更多 Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China.
地址:
显示更多 [ 1 ] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
显示更多 [ 2 ] Minnan Normal Univ, Coll Comp, Zhangzhou 363000, Fujian, Peoples R China
电子邮件地址:helen_smile0320@163.com; zyl_1983_2004@163.com; zhangjing86@126.com
基金资助致谢
基金资助机构显示详情 授权号
National Natural Science Foundation of China (NSFC)
11701258
11871259
11801254
Natural Science Foundation of Fujian Province
2020J01801
2019J01749
2018J01422
查看基金资助信息
出版商
UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG
类别 / 分类
研究方向:Mathematics
Web of Science 类别:Mathematics, Applied; Mathematics
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On Topological Equivalence of R-Uniformly Continuous Fuzzy Metric Spaces
作者:Li, CQ [ 1 ] ; Zhang, YL[ 2 ] ; Zhang, J [ 1 ]
FILOMAT
卷: 34 期: 13 页: 4523-4531
DOI: 10.2298/FIL2013523L
出版年: 2020
文献类型:Article
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摘要
The notion of uniform continuity in fuzzy metric spaces was first introduced by George and Veeramani in 1995. Later, Gregori et al. gave some contributions to the theory. As a consequence of the study, we introduce the notion of RUC fuzzy metric space. Also, necessary and sufficient conditions for a fuzzy metric space to be an RUC fuzzy metric space are studied. In addition, several examples are given.Y
关键词
作者关键词:Fuzzy metric space; RUC fuzzy metric space; uniform continuity; convergent sequence
KeyWords Plus:COMPLETION
作者信息
通讯作者地址:
MinNan Normal University Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China.
通讯作者地址: Li, CQ (通讯作者)
显示更多 Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China.
地址:
显示更多 [ 1 ] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
显示更多 [ 2 ] Minnan Normal Univ, Coll Comp, Zhangzhou 363000, Fujian, Peoples R China
电子邮件地址:helen_smile0320@163.com; zyl_1983_2004@163.com; zhangjing86@126.com
基金资助致谢
基金资助机构显示详情 授权号
National Natural Science Foundation of China (NSFC)
11701258
11871259
11801254
Natural Science Foundation of Fujian Province
2020J01801
2019J01749
2018J01422
查看基金资助信息
出版商
UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG
类别 / 分类
研究方向:Mathematics
Web of Science 类别:Mathematics, Applied; Mathematics
文献信息
语言:English
入藏号: WOS:000629651000022
ISSN: 0354-5180
其他信息
IDS 号: QX9GU
Web of Science 核心合集中的 "引用的参考文献": 29
Web of Science 核心合集中的 "被引频次": 0,
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