Turkish Journal of Mathematics
DOI
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Abstract
Let K be a Choquet simplex, E a Fr\'{e}chet space and \Phi: K \ra 2^E a map such that \Phi(x) is closed and convex for each x \in K. A sufficient condition is given for \Phi to have a continuous affine selection.This is employed to prove a separation theorem for vector valued semicontinuous functions from a Choquet simplex into an ordered Fr\'{e}chet space.
Recommended Citation
ALPAY, S. and ERCAN, Z. (1996) "ON AFFINE SELECTION AND SEPARATION OF VECTOR VALUED FUNCTIONS," Turkish Journal of Mathematics: Vol. 20: No. 4, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol20/iss4/9
