RLC-electric circuits and fixed point theorems in C-algebra-valued modular metric-like space

In this manuscript, the notion of C ∗ -algebra-valued modular metric-like space is initiated. Some fixed point theorems in such spaces are examined using a new version of Meir-Keeler contraction. To demonstrate that the idea presented here is novel and generalizes a few relevant findings in the lite...

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Published inJournal of inequalities and applications Vol. 2025; no. 1; pp. 39 - 18
Main Authors Ahmad, Zulaihatu Tijjani, Shagari, Mohammed Shehu, Noorwali, Maha, Tijjani, Abba Ali, Saliu, Afis
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 20.03.2025
Springer Nature B.V
SpringerOpen
Subjects
Algebra
Analysis
Applications of Mathematics
C ∗ $C^{}$ -algebra
Circuits
Fixed points (mathematics)
Integral equations
Mathematics
Mathematics and Statistics
Meir-Keeler contraction
Metric-like
Modular
Theorems
Zamfirescu contraction
Metric-like
47H10
54E50
47H09
Zamfirescu contraction
algebra
Modular
Meir-Keeler contraction
54H25
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Summary:In this manuscript, the notion of C ∗ -algebra-valued modular metric-like space is initiated. Some fixed point theorems in such spaces are examined using a new version of Meir-Keeler contraction. To demonstrate that the idea presented here is novel and generalizes a few relevant findings in the literature, we provide comparative examples. As an application, new criteria for the existence and uniqueness of a solution to a Fredholm-type integral equation associated with an RLC electric circuit are obtained.
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/s13660-025-03282-x