Unique common fixed point results for four weakly commuting maps in $G$-metric spaces

TL;DR

This paper establishes new common fixed point theorems for four weakly commuting maps in G-metric spaces under generalized contractive conditions, expanding fixed point theory in this mathematical setting.

Contribution

It introduces novel fixed point results for four maps in G-metric spaces with weakly commuting conditions, broadening the scope of fixed point theorems.

Findings

Proved common fixed point theorems for four weakly commuting maps.

Extended fixed point results to generalized contractive conditions.

Provided examples validating the main theorems.

Abstract

Using the setting of $G$-metric spaces, common fixed point theorems for four maps satisfying the weakly commuting conditions are obtained for various generalized contractive conditions. Several examples are also presented to show the validity of main results.