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arXiv · 1304.0339

Minimax theorems for set-valued maps without continuity assumptions

Monica Patriche
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Abstract

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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Monica Patriche. 2013-08-05. Minimax theorems for set-valued maps without continuity assumptions. https://doi.org/10.1080/02331934.2015.1091822

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