Saddle Point Theorems

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


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.


Lagrange Multiplier Saddle Point Duality Theorem Constraint Qualification Minimax Theorem 
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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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