Fixed-Point Theorems in $b$-Metric Spaces via a Novel Simulation Function

TL;DR

This paper develops a new simulation function for $b$-metric spaces, enabling fixed-point theorems that extend existing results, with theoretical insights and practical examples demonstrating their utility.

Contribution

Introduces a novel simulation function in $b$-metric spaces, leading to new fixed-point theorems and broadening the scope of fixed-point theory.

Findings

Established fixed-point results using the new simulation function

Extended fixed-point theorems to $b$-metric spaces

Provided a concrete example illustrating the theory

Abstract

This paper introduces a new type of simulation function within the framework of $b$-metric spaces, leading to the derivation of fixed-point results in this general setting. We explore the theoretical implications of these results and demonstrate their utility through a concrete example.