Abstract
We study the farthest point mapping in a -normed space in virtue of subdifferential of , where is a weakly sequentially compact subset of . We show that the set of all points in which have farthest point in contains a dense subset of .
Highlights
Recommended by Narendra Kumar GovilWe 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
If x∗ is in X∗, the dual of X, and x ∈ X we write x∗ x as x∗, x
In this paper, using some strategies from 5–7, 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
Summary
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 Gδ subset of X.
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