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

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.

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Year of publication:	1993
Authors:	Lin, Y. Joseph ; Tian, Guoqiang
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	The minimax inequality \| Variational inequalities \| The FKKM theorem \| Noncompact and nonconvex sets \| Equivalence

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011107618