Coincidence point results involving a generalized class of simulation functions

TL;DR

This paper introduces a new class of simulation functions and establishes generalized fixed point theorems in metric spaces, extending existing results and providing illustrative examples.

Contribution

The paper proposes a generalized class of simulation functions and derives new fixed point results that unify and extend previous theorems in the field.

Findings

New class of $C_G$-simulation functions introduced

Extended fixed point theorems in metric spaces

Provided examples illustrating the theorems

Abstract

The purpose of this work is to introduce a general class of $C_G$-simulation functions and obtained some new coincidence and common fixed points results in metric spaces. Some useful examples are presented to illustrate our theorems. Results obtained in this paper extend, generalize and unify some well known fixed and common fixed point results.