Continuous Selections in α-Convex Metric Spaces

F. S. De Blasi, and G. Pianigiani. "Continuous Selections in α-Convex Metric Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 52.3 (2004): 303-317. <http://eudml.org/doc/281055>.

@article{F2004,
abstract = {The existence of continuous selections is proved for a class of lower semicontinuous multifunctions whose values are closed convex subsets of a complete metric space equipped with an appropriate notion of convexity. The approach is based on the notion of pseudo-barycenter of an ordered n-tuple of points.},
author = {F. S. De Blasi, G. Pianigiani},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {continuous selection; convex metric space},
language = {eng},
number = {3},
pages = {303-317},
title = {Continuous Selections in α-Convex Metric Spaces},
url = {http://eudml.org/doc/281055},
volume = {52},
year = {2004},
}

TY - JOUR
AU - F. S. De Blasi
AU - G. Pianigiani
TI - Continuous Selections in α-Convex Metric Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 3
SP - 303
EP - 317
AB - The existence of continuous selections is proved for a class of lower semicontinuous multifunctions whose values are closed convex subsets of a complete metric space equipped with an appropriate notion of convexity. The approach is based on the notion of pseudo-barycenter of an ordered n-tuple of points.
LA - eng
KW - continuous selection; convex metric space
UR - http://eudml.org/doc/281055
ER -