Coincidence and Common Fixed Point Results for Contraction Type Maps in Partially Ordered Metric Spaces

TL;DR

This paper establishes new fixed point theorems for contraction mappings in partially ordered metric spaces and applies these results to prove the existence of solutions for integral equations.

Contribution

It introduces novel coincidence and common fixed point results for contraction maps in partially ordered metric spaces, extending existing theories.

Findings

Proved new fixed point theorems in ordered metric spaces

Established existence results for solutions of integral equations

Extended fixed point theory to broader classes of maps

Abstract

We present coincidence and common fixed point results of selfmappings satisfying a contraction type in partially ordered metric spaces. As an application, we give an existence theorem for a common solution of integral equations.