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Minimax theorems for set-valued maps without continuity assumptions

By Monica Patriche

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.Comment: 22 page

Topics: Mathematics - Optimization and Control
Publisher: 'Informa UK Limited'
Year: 2013
DOI identifier: 10.1080/02331934.2015.1091822
OAI identifier: oai:arXiv.org:1304.0339

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