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 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.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2025-03-20
DOI
https://doi.org/10.1186/s13660-025-03282-x
Citations
6
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
24.53
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article

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

Abba Ali Tijjani, Maha Noorwali, Afis Saliu, Zahoor Ahmad et al.
6 citations
Journal of Inequalities and Applications
Fixed Point Theorems Analysis
24.53
article

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

Abba Ali Tijjani, Maha Noorwali, Afis Saliu, Zahoor Ahmad, Mohammed Shehu Shagari
article en
6 citations

Abstract

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.

Journal of Inequalities and ApplicationsVol. 2025(1)
Ahmadu Bello University (NG), University of the Gambia (GM), King Abdulaziz University (SA)
Openalex Percentile: Top 0%
Fixed Point Theorems Analysis
24.53
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