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Some minimax theorems in vector-valued functions

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Abstract

In this paper, we generalize the well-known notions of minimax, maximin, and saddle point to vector-valued functions. Conditions for a vector-valued function to have a generalized saddle point are given. An example is used to illustrate the generalized concepts of minimax, maximin, and saddle point.

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Authors and Affiliations

  1. Econometric Institute, University of Groningen, Groningen, Holland

    J. W. Nieuwenhuis (Assistant Professor)

Authors
  1. J. W. Nieuwenhuis
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Additional information

Communicated by P. L. Yu

The author would like to thank the referees for their valuable comments.

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Nieuwenhuis, J.W. Some minimax theorems in vector-valued functions. J Optim Theory Appl 40, 463–475 (1983). https://doi.org/10.1007/BF00933511

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  • DOI: https://doi.org/10.1007/BF00933511

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