Remarks on fixed point assertions in digital topology

Author:

Boxer Laurence,Staecker P. Christopher

Abstract

Several recent papers in digital topology have sought to obtain fixed point results by mimicking the use of tools from classical topology, such as complete metric spaces and homotopy invariant fixed point theory. We show that some of the published assertions based on these tools are incorrect or trivial; we offer improvements on others.

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Remarks on fixed point assertions in digital topology, 7;Applied General Topology;2024-04-02

2. Remarks on fixed point assertions in digital topology, 6;Applied General Topology;2023-10-02

3. On the digital Hopf images and monoid isomorphisms;Publicationes Mathematicae Debrecen;2023-07-01

4. Remarks on fixed point assertions in digital topology, 5;Applied General Topology;2022-10-03

5. Fixed Point Theorems for Digital Images Using Path Length Metric;Soft Computing and Optimization;2022

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