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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