Unique common fixed points of four generalized contractive mappings in ordered partial metric spaces

TL;DR

This paper investigates the existence and uniqueness of common fixed points for generalized contractive mappings in ordered partial metric spaces and explores solutions to implicit nonlinear integral equations, extending previous results.

Contribution

It introduces new fixed point theorems in ordered partial metric spaces and unifies various existing results, also addressing solutions to nonlinear integral equations.

Findings

Established conditions for unique common fixed points in ordered partial metric spaces.

Extended and unified previous fixed point theorems in the literature.

Provided examples validating the main theoretical results.

Abstract

The existence and uniqueness of the common fixed point for generalized contractive mappings in order partial metric spaces is investigated. The existence of nonnegative solution of implicit nonlinear integral equations is also studied. Some examples demonstrating the validity of our main results are constructed. The presented results extend and unify various comparable results in the existing literature.