Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

SOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES

Document Type : Research Paper

Authors
Yazd University
Abstract
In this paper, using the best proximity theorems for an extension
of Brosowski's theorem. We obtain other results on farthest points. Finally, we
de ne the concept of e- farthest points. We shall prove interesting relationship
between the -best approximation and the e-farthest points in normed linear
spaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a
-best approximation in W.
Keywords

Volume 3, Issue 2
March 2014
Pages 37-50

  • Receive Date 11 September 2016
  • Revise Date 29 November 2016
  • Accept Date 06 November 2016