Title of article
The convexity of Chebyshev sets in normed spaces
Author/Authors
Mazaheri ، H. Department of Mathematics - Yazd University , Salehi ، Mohammad jafar Department of Mathematics - Payame Noor University(PNU)
From page
111
To page
117
Abstract
In this paper, we consider “Nearest points” and “Farthest points” in inner product spaces and Hilbert spaces. The convexity of Chebyshev sets in Hilbert spacse is an open problem. In this paper we define sun sets and sunrise sets in normed spaces.
Keywords
Chebyshev centers , Uniquely remotal centers , Nearest points , Farthest points , Sun sets
Journal title
Journal of Mahani Mathematical Research Center
Journal title
Journal of Mahani Mathematical Research Center
Record number
2667657
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