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

Lin, Y. Joseph and Tian, Guoqiang (1993): Minimax inequality equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz Theorem. Published in: Applied Mathematics and Optimization , Vol. 28, (1993): pp. 173-179.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: The minimax inequality, Variational inequalities, The FKKM theorem, Noncompact and nonconvex sets, Equivalence
• Subjects: D - Microeconomics > D6 - Welfare Economics > D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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