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.

DOI

Recommended Citation

ALPAY, S, & ERCAN, Z (1996). ON AFFINE SELECTION AND SEPARATION OF VECTOR VALUED FUNCTIONS. Turkish Journal of Mathematics 20 (4): . https://doi.org/-

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