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Minimax inequality equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz Theorem

By Y. Joseph Lin and Guoqiang Tian


The purpose of this note is to give further generalizations of the Ky Fan minimax inequality by relaxing the compactness and convexity of sets and the quasi-concavity of the functional and to show that our minimax inequalities are equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz (FKKM) theorem and a modified FKKM theorem given in this note.

Topics: D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
Year: 1993
DOI identifier: 10.1007/bf01182980
OAI identifier:

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