An Order Theoretic Approach to the Banach Contraction Principle in Modular Spaces

TL;DR

This paper proves the Banach contraction principle in complete modular spaces using an order theoretic approach, expanding the theoretical framework of fixed point theorems.

Contribution

It introduces an order theoretic method to establish the Banach contraction principle in modular spaces, providing a new perspective on fixed point theory.

Findings

Banach contraction principle holds in complete modular spaces.

Order theoretic approach offers a novel proof technique.

Potential applications in analysis and related fields.

Abstract

In the present note, the Banach contraction principle is proved in complete modular spaces via an order theoretic approach.