# Remarks on Fixed Point Assertions in Digital Topology, 3

## TL;DR

This paper reviews fixed point assertions in digital topology, identifying errors, limitations, and improvements in existing literature to advance understanding in the field.

## Contribution

It critically analyzes previous fixed point assertions, correcting errors, addressing limitations, and proposing improvements in digital topology.

## Key findings

- Identified incorrect fixed point assertions in literature
- Highlighted limitations of existing fixed point results
- Proposed improvements to previous assertions

## Abstract

We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality under "usual" conditions; or that we improve upon.