Fixed point theorem in metric spaces and its application to the Collatz conjecture

TL;DR

This paper introduces a new fixed point theorem in metric spaces and applies it to the Collatz conjecture, aiming to provide new insights into this longstanding mathematical problem.

Contribution

The paper presents a novel fixed point theorem in metric spaces and demonstrates its application to the Collatz conjecture, offering a new approach to this problem.

Findings

New fixed point theorem established

Application to Collatz conjecture demonstrated

Potential implications for solving Collatz conjecture

Abstract

In this paper, we show the new fixed point theorem in metric spaces. Furthermore, for this fixed point theorem, we apply to the Collatz conjecture.