This is an announcement for the paper "Bootstrapping the Mazur--Orlicz--K\"onig theorem" by Stephen Simons. Abstract: In this paper, we give some extensions of K\"onig's extension of the Mazur-Orlicz theorem. These extensions include generalizations of a surprising recent result of Sun Chuanfeng, and generalizations to the product of more than two spaces of the ``Hahn-Banach-Lagrange'' theorem. Archive classification: math.FA Mathematics Subject Classification: 46A22, 46N10 Remarks: 9 pages Submitted from: stesim38@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1512.08020 or http://arXiv.org/abs/1512.08020