In this paper, we extend earlier Michael's selection theorem in the general nonconvex setting. Indeed, we deal with the case of almost lower semicontinuous multifunctions T on a zero-dimensional paracompact topological space X. Based on a kind of equicontinuous property, we prove that any a.l.s.c. ECP multifunction from X into a complete metric space Y still has a continuous selection.
|Number of pages||8|
|Journal||Acta Mathematica Vietnamica|
|Publication status||Published - 2011 Dec 1|
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