some new results on remotest points in normed spaces

نویسندگان

h. mazaheri

yazd university m. zarenejhad

yazd university

چکیده

in this paper, using the best proximity theorems for an extensionof brosowski's theorem. we obtain other results on farthest points. finally, wede ne 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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عنوان ژورنال:
journal of mahani mathematical research center

جلد ۳، شماره ۱، صفحات ۳۷-۵۰

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