International Journal of Mathematics and Mathematical Sciences, Year (2008-4)

Title : ( Farthest points and subdifferentiel in P-normed spaces )

Authors: Shirin Hejazian , Asadollah Niknam , - - ,
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Abstract

We study the farthest point mapping in a p-normed space X in virtue of subdifferential of rx  sup{x − zp : 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 inMcontains a dense Gδ subset of X.

Keywords

, Farthest point , subdifferential, p-normed space