Extension of Zorn's lemma to arbitrary binary relations
General Topology
2023-09-13 v3
Abstract
In this note, the Zorn lemma is extended to arbitrary binary relations and thus the Zorn lemma can do for optimization when the transitivity is broken. Zorn's extended lemma can be used to prove existence theorems of generalized solution concepts for binary relations that do not have maximal elements.
Keywords
Cite
@article{arxiv.2210.00197,
title = {Extension of Zorn's lemma to arbitrary binary relations},
author = {Athanasios Andrikopoulos},
journal= {arXiv preprint arXiv:2210.00197},
year = {2023}
}