Fixed point results for a generalized class of simulation functions with applications

TL;DR

This paper introduces a broader class of simulation functions to establish fixed point results in metric spaces, extending existing theories and applying them to integral and functional equations in dynamic programming.

Contribution

It generalizes and unifies fixed point theorems by considering a wider class of simulation functions with applications to integral and functional equations.

Findings

Extended fixed point results for a generalized class of simulation functions.

Unified framework encompassing several known fixed point theorems.

Applications demonstrated in dynamic programming through integral and functional equations.

Abstract

In this paper, we consider a wider class of simulation functions and present some coincidence and common fixed point results in metric spaces. Results obtained in this paper extend, generalize and unify some well-known fixed and common fixed point results. Some illustrative examples are presented. We also discuss some applications to system of integral equations and functional equations arising in dynamic programming.