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arXiv:1304.0339 [math.OC]AbstractReferencesReviewsResources

Minimax theorems for set-valued maps without continuity assumptions

Monica Patriche

Published 2013-04-01, updated 2013-08-05Version 3

We introduce several classes of set-valued maps with generalized convexity. We obtain minimax theorems for set-valued maps which satisfy the introduced properties and are not continuous, by using a fixed point theorem for weakly naturally quasi-concave set-valued maps defined on a simplex in a topological vector space.

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