# A unified factorization theorem for Lipschitz summing operators

## TL;DR

This paper establishes a comprehensive factorization theorem for Lipschitz summing operators in metric spaces, unifying various existing linear and nonlinear results and introducing new applications.

## Contribution

It presents a unified factorization theorem for Lipschitz summing operators, bridging linear and nonlinear cases and expanding the scope of applications.

## Key findings

- Unified factorization theorem for Lipschitz summing operators
- Recovers multiple existing linear and nonlinear factorization results
- Introduces new applications in metric space analysis

## Abstract

We prove a general factorization theorem for Lipschitz summing operators in the context of metric spaces which recovers several linear and nonlinear factorization theorems that have been proved recently in different environments. New applications are also given.