Elementary proof for Sion's minimax theorem
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[1] Wataru Takahashi,et al. Nonlinear Variational Inequalities and Fixed Point Theorems , 1975 .
[2] Frode Terkelsen,et al. Some Minimax Theorems. , 1972 .
[3] M. Sion. On general minimax theorems , 1958 .