Farthest Points and Subdifferential in ๐‘-Normed Spaces

We study the farthest point mapping in a ๐‘-normed space ๐‘‹ in virtue of subdifferential of ๐‘Ÿ(๐‘ฅ)=sup{โ€–๐‘ฅโˆ’๐‘งโ€–๐‘โˆถ๐‘งโˆˆ๐‘€}, where ๐‘€ is a weakly sequentially compact subset of ๐‘‹. We show that the set of all points in ๐‘‹ which have farthest point in ๐‘€ contains a dense ๐บ๐›ฟ subset of ๐‘‹....

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences
Main Authors: S. Hejazian, A. Niknam, S. Shadkam
Format: Article
Language:English
Published: Wiley 2008-01-01
Online Access:http://dx.doi.org/10.1155/2008/196326