Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Minimax Theory and its Applications 01 (2016), No. 1, 021--027
Copyright Heldermann Verlag 2016

A Very Complicated Proof of the Minimax Theorem

Jonathan M. Borwein
CARMA, University of Newcastle, Callaghan NSW 2308, Australia, Australia

The justly celebrated von Neumann minimax theorem has many proofs. Here I reproduce the most complex one I am aware of. This provides a fine didactic example for many courses in convex analysis or functional analysis.

Keywords: Minimax theorem, Hahn-Banach theorem, Fenchel duality theorem, weak integrals, barycentre.

MSC: 45Q05; 49N45 90C25 49N15 90C90

[ Fulltext-pdf  (109  KB)] for subscribers only.