Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Infimum Principle
HTML articles powered by AMS MathViewer

by Władysław Kulpa and Andrzej Szymanski PDF
Proc. Amer. Math. Soc. 132 (2004), 203-210 Request permission


We utilize the technique of dual sets to prove a theorem on the attainment of a simultaneous infimum by a compatible family of functions. Corollaries to the theorem include, among others, the von Neumann Minimax Principle and Nash’s Equilibrium Theorem.
Similar Articles
Additional Information
  • Władysław Kulpa
  • Affiliation: Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland
  • Email:
  • Andrzej Szymanski
  • Affiliation: Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania 16057
  • Email:
  • Received by editor(s): November 14, 2001
  • Received by editor(s) in revised form: August 14, 2002
  • Published electronically: May 28, 2003
  • Communicated by: Alan Dow
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 203-210
  • MSC (1991): Primary 52A07, 54H25, 90A56; Secondary 90D06
  • DOI:
  • MathSciNet review: 2021263