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

Y. Lin and Guoqiang Tian

MPRA Paper from University Library of Munich, Germany

Abstract: 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.

Keywords: The minimax inequality; Variational inequalities; The FKKM theorem; Noncompact and nonconvex sets; Equivalence (search for similar items in EconPapers)
JEL-codes: D63 (search for similar items in EconPapers)
Date: 1993
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Citations: View citations in EconPapers (2)

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