Using a fixed point theorem in a partially ordered set, we give a new proof of the Hahn-Banach theorem in the case where the range space is a partially ordered vector space.
"Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space." J. Appl. Math. 2013 (SI21) 1 - 5, 2013. https://doi.org/10.1155/2013/527417