Title of article :
Remotal Centers and Chebyshev Centers in Normed Spaces
Author/Authors :
Mazaheri Tehrani, Hamid Faculty of Mathematics - Yazd University, Yazd, Iran , Salehi, M. J. Department of Mathematical - Payame Noor University(PNU), Tehran, Iran
Abstract :
In this paper, we consider “Nearest points” and “Farthest points” in normed linear
spaces. For normed space (X, ∥.∥), the set W ⊆ X, we define Pg, Fg,Rg where g ∈ W.
We obtion results about on Pg, Fg,Rg. We find new results on Chebyshev centers in normed
spaces. In finally we define remotal center in normed spaces.
Keywords :
Chebyshev centers , Remotal centers , Nearest points , Farthest points
Journal title :
Theory of Approximation and Applications
