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On minimax optimization problems (1982)

Drezner, Zvi

Springer

Mathematical programming 22 (1982), S. 227-230

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ISSN: 1436-4646

Keywords: Minimax ; Nonconvex Optimization ; Stationary Points

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract We give a short proof that in a convex minimax optimization problem ink dimensions there exist a subset ofk + 1 functions such that a solution to the minimax problem with thosek + 1 functions is a solution to the minimax problem with all functions. We show that convexity is necessary, and prove a similar theorem for stationary points when the functions are not necessarily convex but the gradient exists for each function.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01581038

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