On completeness and compactness in fuzzy metric spaces
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springernature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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 Mihet (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.
Açıklama
Anahtar Kelimeler
Fuzzy Metric Space, Compactness, Completeness, P-Convergent Sequence, Fixed Point, Fixed-Points, Convergence, Mappings
Kaynak
Journal Of Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
31
Sayı
1
