On completeness and compactness in fuzzy metric spaces

被引：0
|
作者：
Gurbet Baydar
Mustafa Telci
机构：
[1] Trakya University,Department of Mathematics, Institute of Science
[2] Trakya University,Department of Mathematics, Science Faculty
来源：
The Journal of Analysis | 2023年 / 31卷
关键词：
Fuzzy metric space; Compactness; Completeness; -convergent sequence; Fixed point; 54A40; 54D35; 54H25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we introduce the concepts of weak-completeness and sequentially p-compactness in fuzzy metric spaces in relation to the works given by Miheţ (Fuzzy Sets Syst 158:915–921, 2007) and Gregori et al. (Topol Appl 156:3002–3006, 2009), which are weaker than earlier concepts. We also study the relationship among the concepts and we support our ideas with some illustrative examples. Finally, we consider some fixed point theorems for weak-complete and sequentially p-compact fuzzy metric spaces, respectively. In particular, we give a partial answer to the question posed by Gregori and Sapena (Fuzzy Sets Syst 125:245–252, 2002) in relation to the fuzzy contractive sequences.
引用
收藏
页码：747 / 758
页数：11
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