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A constructive proof of Ky Fan's coincidence theorem
Talman,A.J.J. ; Yang,Z.F.
Talman,A.J.J.
Yang,Z.F.
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.
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Appeared earlier as CentER DP 2004-100 (rt)
Date
2009
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Talman, A J J & Yang, Z F 2009, 'A constructive proof of Ky Fan's coincidence theorem', Mathematical Programming, vol. 118, no. 2, pp. 317-325. < http://dx.doi.org/10.1007/s10107-007-0194-5 >
