Minimax inequalities equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz theorems Academic Article uri icon

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. 1993 Springer-Verlag New York Inc.

published proceedings

  • Applied Mathematics & Optimization

author list (cited authors)

  • Lin, Y. J., & Tian, G.

citation count

  • 4

complete list of authors

  • Lin, Y Joseph||Tian, Guoqiang

publication date

  • January 1993