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Saddle Point Theorems

  • Josef Stoer
  • Christoph Witzgall
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 163)

Abstract

The classical instances of saddle point theorems are the minimax theorems of v. Neumann [1] (6.1.1) and Kakutani [3]. Since then the saddle point concept has been found to apply in a much larger context. It is also a natural and rich source for duality theorems. In fact, every theorem stating the existence of a “saddle point” can be interpreted as duality theorem for a pair of dual programs.

Keywords

Lagrange Multiplier Saddle Point Duality Theorem Constraint Qualification Minimax Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1970

Authors and Affiliations

  • Josef Stoer
    • 1
  • Christoph Witzgall
    • 2
  1. 1.Universität WürzburgDeutschland
  2. 2.Boeing Scientific Research LaboratoriesSeattleUSA

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