Farthest Points and Subdifferential in ð ‘ -Normed Spaces

S. Hejazian, A. Niknam and S. Shadkam

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-6

Abstract:

We study the farthest point mapping in a ð ‘ -normed space ð ‘‹ in virtue of subdifferential of ð ‘Ÿ ( ð ‘¥ ) = s u p { ‖ ð ‘¥ − 𠑧 ‖ ð ‘ âˆ¶ 𠑧 ∈ ð ‘€ } , where ð ‘€ is a weakly sequentially compact subset of ð ‘‹ . We show that the set of all points in ð ‘‹ which have farthest point in ð ‘€ contains a dense ð º ð ›¿ subset of ð ‘‹ .

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:196326

DOI: 10.1155/2008/196326

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