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SOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES | ||
Journal of Mahani Mathematical Research | ||
مقاله 4، دوره 3، شماره 2، خرداد 2014، صفحه 37-50 اصل مقاله (265.91 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22103/jmmrc.2014.1538 | ||
نویسندگان | ||
H. Mazaheri* ؛ M. ZARENEJHAD | ||
Yazd University | ||
چکیده | ||
In this paper, using the best proximity theorems for an extension of Brosowski's theorem. We obtain other results on farthest points. Finally, we dene 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. | ||
کلیدواژهها | ||
Remotest points؛ Approximate remotest points؛ Best proximity points؛ Fixed points؛ Approximate best proximity points | ||
آمار تعداد مشاهده مقاله: 983 تعداد دریافت فایل اصل مقاله: 914 |