Shahid Bahonar University of Kerman Journal of Mahani Mathematical Research 2251-7952 3 2 2014 03 01 SOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES 37 50 1538 10.22103/jmmrc.2014.1538 EN H. Mazaheri Yazd University M. ZARENEJHAD Yazd University Journal Article 2016 09 11 In this paper, using the best proximity theorems for an extension<br />of Brosowski's theorem. We obtain other results on farthest points. Finally, we<br />de ne the concept of e- farthest points. We shall prove interesting relationship<br />between the -best approximation and the e-farthest points in normed linear<br />spaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a<br />-best approximation in W. Remotest points Approximate remotest points Best proximity points Fixed points Approximate best proximity points https://jmmrc.uk.ac.ir/article_1538_37f33f585899363e2177041f30808b6b.pdf