On a lemma of Ky Fan

نویسندگان

  • Ky Fan
  • Om Parkash. Kapoor
  • Om Parkash Kapoor
چکیده

The object of this note is to give two applications of an intersection lemma of Ky Fan. First it is used to obtain a variational property of a strongly continuous function on a weakly compact convex subset of a normed space. In the second half we apply the lemma to obtain a direct proof of a result on the extension of monotone sets in topological linear spaces. It was established separately by Debrunner and Flor, Fan, and Browder.

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تاریخ انتشار 2015