Nonexpansive fixed point theorems for primitive uniform spaces

TL;DR

This paper extends fixed point theorems for nonexpansive mappings from metric spaces to primitive uniform spaces, providing a natural approach that could lead to further generalizations.

Contribution

It introduces fixed point theorems for nonexpansive mappings within primitive uniform spaces, broadening the scope beyond metric spaces.

Findings

Fixed point theorems extended to primitive uniform spaces

Natural proof techniques for generalizations

Potential for further broadening of fixed point results

Abstract

Some known fixed point theorems for nonexpansive mappings in metric spaces are extended here to the case of primitive uniform spaces. The reasoning presented in the proofs seems to be a natural way to obtain other general results.