Computation and convergence of fixed-point with an RLC-electric circuit model in an extended b-suprametric space

Sumati Kumari Panda; Vijayakumar Velusamy; Ilyas Khan; Shafiullah Niazai

doi:10.1038/s41598-024-59859-x

Computation and convergence of fixed-point with an RLC-electric circuit model in an extended b-suprametric space

Sci Rep. 2024 Apr 25;14(1):9479. doi: 10.1038/s41598-024-59859-x.

Authors

Sumati Kumari Panda^#¹, Vijayakumar Velusamy^#², Ilyas Khan^#³, Shafiullah Niazai^#⁴

Affiliations

¹ Department of Mathematics, GMR Institute of Technology, Rajam, Andhra Pradesh, 532127, India. mumy143143143@gmail.com.
² Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632 014, India. vijaysarovel@gmail.com.
³ Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia. i.said@mu.edu.sa.
⁴ Department of Mathematics, Education Faculty, Laghman University, Mehtarlam City, 2701, Laghman, Afghanistan. shafiullahniazai@lu.edu.af.

^# Contributed equally.

Abstract

This article establishes various fixed-point results and introduces the idea of an extended b-suprametric space. We also give several applications pertaining to the existence and uniqueness of the solution to the equations concerning RLC electric circuits. At the end of the article, a few open questions are posed concerning the distortion of Chua's circuit and the formulation of the Lagrangian for Chua's circuit.