A constructive proof of Ky Fan's coincidence theorem

A.J.J. Talman, Z.F. Yang

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)
341 Downloads (Pure)

Abstract

We present a constructive proof for the well-known Ky Fan’s coincidence theorem through a simplicial algorithm. In a finite number of steps the algorithm generates a simplex containing an approximate coincidence point. In the limit, when the mesh size converges to zero, the sequence of approximations converges to a coincidence point.
Original languageEnglish
Pages (from-to)317-325
JournalMathematical Programming
Volume118
Issue number2
Publication statusPublished - 2009

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