# Fixed point theorems in $G$-metric space

## TL;DR

This paper introduces a new fixed point concept for single-valued mappings within $G$-complete $G$-metric spaces, expanding the theoretical framework of fixed point theorems.

## Contribution

It proposes a novel type of fixed point in $G$-metric spaces, enhancing the understanding of fixed point theory in generalized metric spaces.

## Key findings

- Established existence of the new fixed point under certain conditions
- Extended fixed point theory to $G$-metric spaces
- Provided potential applications in nonlinear analysis

## Abstract

In this article, we present a new type of fixed point for single valed mapping in a $G$-complete $G$-metric space.