On a Minimax Inequality of KY Fan

Chung-Wei Ha
1987 Proceedings of the American Mathematical Society  
An extension of a minimax inequality of Ky Fan is given. It is then used to generalize to the set-valued setting a fixed point theorem of Ky Fan. Since Fan gave his minimax inequality in [4], various extensions of this interesting result have been obtained (see [5] and the references there). One was proved in [6, Theorem 3], which can be formulated in the following form:
doi:10.2307/2046475 fatcat:dgec5piinvhjvk2zexldsazxne