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  • 1
    Electronic Resource
    Electronic Resource
    Minimax inequalities equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz theorems (1993)
    Springer
    Applied mathematics & optimization 28 (1993), S. 173-179 
    Details
    ISSN: 1432-0606
    Keywords: The minimax inequality ; Variational inequalities ; The FKKM theorem ; Noncompact and nonconvex sets ; Equivalence ; 49A29 ; 90C33 ; 90C50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01182980
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