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)
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
