Multiplicative modular metric spaces and some fixed point results

This study aims to introduce a novel type of metric, defined as the w -multiplicative modular metric space, which becomes an expanded idea that includes two metric spaces. We present and demonstrate some of this new space’s topological properties. We also prove the Banach and Kannan contraction mapp...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2025; no. 1; pp. 54 - 11
Main Authors Kaplan, Elif, Taş, Nihal, Haque, Salma, Mlaiki, Nabil
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 22.04.2025
Springer Nature B.V
SpringerOpen
Subjects
Algorithms
Analysis
Applications of Mathematics
Calculus
Fixed point
Mathematics
Mathematics and Statistics
Metric space
Modular metric spaces
Multiplicative metric spaces
Ordinary differential equations
Theorems
47H09
46A80
Modular metric spaces
Multiplicative metric spaces
Fixed point
54H25
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Summary:This study aims to introduce a novel type of metric, defined as the w -multiplicative modular metric space, which becomes an expanded idea that includes two metric spaces. We present and demonstrate some of this new space’s topological properties. We also prove the Banach and Kannan contraction mapping theorems. Finally, the applicability of the obtained results is also examined.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-025-03303-9