Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings

In this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b-metric spaces as a generalization of the notion of b-metric spaces and fuzzy metric spaces. In such spaces, we establish Banach type, Reich type, and Chatterjea type fixed-point theorems, which improve the relevant results in...

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Bibliographic Details
Published inJournal of function spaces Vol. 2022; pp. 1 - 13
Main Authors Li, Shu-Fang, He, Fei, Lu, Shu-Min
Format Journal Article
LanguageEnglish
Published New York Hindawi 2022
Hindawi Limited
Subjects
Fixed points (mathematics)
Fuzzy sets
Mathematical programming
Metric space
Theorems
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Summary:In this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b-metric spaces as a generalization of the notion of b-metric spaces and fuzzy metric spaces. In such spaces, we establish Banach type, Reich type, and Chatterjea type fixed-point theorems, which improve the relevant results in fuzzy metric spaces. Two technical lemmas are employed to ensure that a Picard sequence is a Cauchy sequence. Finally, various applications are given to testify the fact that our main theorems extend the cases of b-metric spaces.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/2714912