SOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES
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Abstract:
In this paper, using the best proximity theorems for an extensionof Brosowski's theorem. We obtain other results on farthest points. Finally, wedene the concept of e- farthest points. We shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a-best approximation in W.
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Journal title
volume 3 issue 2
pages 37- 50
publication date 2014-03-01
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