On Fan's minimax theorem
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Cites methods from "On Fan's minimax theorem"
...(4.16) Since the functional Φ(η, v) − 〈ξ, v〉 is continuous in v in the weak-star topology and is bilinear, M is convex and W is convex and compact, we can apply the nonsymmetric minimax theorem of Borwein-Zhang [15] to obtain from (4.16) that sup η∈M inf v∈W [ Φ(η, v) − 〈ξ, v〉 ] = 0....
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...Since the functional Φ(η, v) − 〈ξ, v〉 is continuous in v in the weak-star topology and is bilinear, M is convex and W is convex and compact, we can apply the nonsymmetric minimax theorem of Borwein-Zhang [15] to obtain from (4....
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"On Fan's minimax theorem" refers background in this paper
...The general form of Fan's minimax theorem [2, 4 ] is:...
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...f(x, Y3) ~> tf(x, Yl) + (1 - t)f(x, Y2) (2) for all x in X, [ 4 ]....
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