Work

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

Year: 2025

Type: article

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.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03282-x

Authors: Zulaihatu Tijjani Ahmad, Mohammed Shehu Shagari, Maha Noorwali, Abba Ali Tijjani, Afis Saliu

Institutions: Ahmadu Bello University, King Abdulaziz University, University of the Gambia

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W4408652153

FWCI: 13.05

Cites: 17

Cited by: 7

Related to: 10