SOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES
Publish place: Journal of Mahani Mathematical Research، Vol: 3، Issue: 2
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_KJMMRC-3-2_001
تاریخ نمایه سازی: 5 خرداد 1398
Abstract:
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.
Keywords:
Remotest points , Approximate remotest points , Best proximity points , Fixed points , Approximate best proximity points
Authors
H. Mazaheri
Yazd University
M. ZARENEJHAD
Yazd University