A Tropical Version of the Schauder Fixed Point Theorem

TL;DR

This paper establishes a tropical analogue of the Schauder fixed point theorem, extending classical fixed point results to the setting of tropical geometry for compact subsets of tropical linear spaces.

Contribution

It introduces a novel tropical fixed point theorem applicable to compact sets in tropical linear spaces, bridging classical fixed point theory and tropical geometry.

Findings

Proves a tropical Schauder fixed point theorem.

Extends fixed point theory to tropical linear spaces.

Provides foundational results for tropical nonlinear analysis.

Abstract

A tropical version of the Schauder fixed point theorem for compact subsets of tropical linear spaces is proved.