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