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Farthest Points and Subdifferential in p ‐Normed Spaces
S. Hejazian, A. Niknam, S. Shadkam
Source abstract
We study the farthest point mapping in a p ‐normed space X in virtue of subdifferential of r ( x ) = sup{∥ x − z ∥ p : z ∈ M }, where M is a weakly sequentially compact subset of X . We show that the set of all points in X which have farthest point in M contains a dense G δ subset of X .
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