International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 196326, 6 pages
Farthest Points and Subdifferential in -Normed Spaces
Department of Mathematics and Center of Excellence in Analysis on Algebraic structures, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran
Received 25 December 2007; Revised 9 March 2008; Accepted 13 March 2008
Academic Editor: Narendra Kumar Govil
Copyright © 2008 S. Hejazian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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 .