Abstract
In this paper, upper semicontinuity and continuity of the set-valued metric generalized inverse in nearly dentable spaces are investigated using the methods of Banach space geometry. Moreover, it is proved that if is a nearly dentable space and if is a closed convex set of , then is approximatively compact if and only if is compact for any .
Citation
Shaoqiang Shang. "Near dentability and continuity of the set-valued metric generalized inverse in Banach spaces." Ann. Funct. Anal. 7 (3) 508 - 520, August 2016. https://doi.org/10.1215/20088752-3625003
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