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.
Authors
- Abba Ali Tijjani
- Maha Noorwali (ORCID: https://orcid.org/0000-0002-1670-8404)
- Afis Saliu (ORCID: https://orcid.org/0000-0002-0647-3824)
- Zahoor Ahmad (ORCID: https://orcid.org/0000-0002-9663-2509)
- Mohammed Shehu Shagari (ORCID: https://orcid.org/0000-0002-0365-2878)
Institutions
- Ahmadu Bello University (NG)
- University of the Gambia (GM)
- King Abdulaziz University (SA)
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