# Fixed point results for ℑ-Contractions in JS-generalized metric spaces with an application

## TL;DR

This paper introduces new fixed point theorems for ℑ-contractions in generalized metric spaces and applies them to solve a differential equation in an RLC circuit.

## Contribution

The paper introduces novel fixed point theorems for ℑ-contractions in JS-generalized metric spaces.

## Key findings

- Fixed point theorems for ℑ-contractions are established in JS-generalized metric spaces.
- An existence result for the solution of an RLC circuit’s current differential equation is derived using the fixed point results.

## Abstract

The goal of this work is to establish ℑ-contractions and to show some novel fixed point theorems for these contractive conditions in the setting of generalized metric spaces in the sense of Jleli and Samet. Finally, using proven fixed point results, an existence result for a solution of the RLC circuit’s current differential equation is established.