The Michael selection problem is researched in hyperconvex metric spaces. Our results show that the answer is "yes" for hyperconvex metric spaces and that the lower semicontinuity of the multi-valued mapping can be weakened. Moreover, as an application of our selection theorem, a fixed point theorem for locally-uniform weak lower semicontinuous multi-valued mappings is given.
Cite this article
Xian Wu, Michael Selection Problem in Hyperconvex Metric Spaces. Z. Anal. Anwend. 22 (2003), no. 3, pp. 505–516DOI 10.4171/ZAA/1158