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.
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© 1970 Springer-Verlag Berlin · Heidelberg
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Stoer, J., Witzgall, C. (1970). Saddle Point Theorems. In: Convexity and Optimization in Finite Dimensions I. Die Grundlehren der mathematischen Wissenschaften, vol 163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46216-0_7
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DOI: https://doi.org/10.1007/978-3-642-46216-0_7
Publisher Name: Springer, Berlin, Heidelberg
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